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Compact Muon Solenoid

The Compact Muon Solenoid () is a general-purpose particle detector situated at the at , designed to record and analyze the debris from high-energy proton-proton collisions to investigate fundamental questions in , including the properties of the , supersymmetric particles, and candidates. Located in an underground cavern near Cessy, France, the CMS experiment forms one of two major LHC detectors—alongside ATLAS—capable of probing a broad spectrum of phenomena within and beyond the of . Its name reflects the detector's compact design relative to its capabilities and its emphasis on precise muon detection, which is crucial for identifying rare processes in collision events.

Design and Construction

The CMS detector is a massive cylindrical apparatus, measuring 21 meters in length, 15 meters in width and height, and weighing approximately 14,000 tonnes, constructed from 15 prefabricated sections assembled at ground level before being lowered into its cavern between 2007 and 2008. At its core is a superconducting magnet producing a uniform 4-tesla —the largest of its kind—generated by coils carrying 18,500 amperes of current, which bends the paths of charged particles to measure their and charge. Surrounding the interaction point are concentric layers of sub-detectors: an inner pixel and with over 75 million sensors for reconstructing particle trajectories with high precision; an electromagnetic (ECAL) using lead-tungstate to measure the of electrons and photons; a (HCAL) with brass absorbers and scintillators to capture energies; and outer chambers integrated into the steel yoke that returns the , enabling efficient detection of penetrating muons. This layered architecture allows CMS to handle up to 40 million collision events per second, filtering and reconstructing "images" of proton smash-ups to identify new physics signatures.

Physics Program and Collaboration

The CMS experiment pursues a diverse physics agenda, from precision measurements of Standard Model processes like top quark production to searches for extra dimensions, new heavy particles, and evidence of dark matter through missing transverse energy signatures. It operates as part of one of the largest international collaborations in science, involving around 5,500 scientists from 241 institutions across 54 countries as of , with ongoing contributions fostering global advancements in detector technology and . Data collection began with LHC's first proton runs in 2009, ramping up through multiple phases of increasing collision energies, culminating in Run 3 starting in at 13.6 TeV center-of-mass energy.

Major Achievements

A landmark achievement came in 2012 when CMS, in conjunction with ATLAS, provided definitive evidence for the Higgs boson—a particle responsible for giving mass to other fundamental particles—through its decay channels, confirming a key pillar of the Standard Model and earning the 2013 Nobel Prize in Physics for theorists Peter Higgs and François Englert. Subsequent efforts have refined Higgs properties, including its couplings to quarks and leptons, while exploring rare processes like single top quark production in association with a W and a Z boson (tWZ), first observed in 2025. As of 2025, CMS continues to deliver high-precision results, such as updated Higgs measurements presented at the Higgs 2025 conference and searches for beyond-Standard-Model scalars at events like Lepton-Photon 2025, pushing the boundaries of our understanding of the universe's fundamental forces.

Background and History

Origins and Development

The experiment originated as a proposed general-purpose particle detector for CERN's , with its submitted on 1 October 1992 as one of two such detectors alongside ATLAS. This proposal outlined an initial concept for a solenoid-based detector aimed at studying high-energy proton-proton collisions, emphasizing efficient use of space within the LHC's underground caverns. The name "Compact Muon Solenoid" derives from core design principles: "compact" highlights its relatively smaller compared to ATLAS (approximately 1.5 times smaller in diameter and half the weight), enabling installation in a constrained LHC interaction point; "" underscores the priority on precise muon detection for identifying rare physics processes; and "" refers to the central superconducting solenoid generating a 4 field to bend charged particle tracks. Between 1994 and 1996, key refinements solidified this approach, including integration of the solenoid to encompass the entire detector volume for muon identification, as detailed in the 1994 Technical Proposal, which prioritized compactness to optimize trigger efficiency and resolution within the LHC environment. CERN's Committee approved the experiment in 1997, four years after the technical proposals for CMS and ATLAS, formally incorporating it into the LHC project schedule with construction targeted for the early . Initial funding commitments and international contributions ramped up starting in , supporting subsystem development through collaborations involving institutes from over 30 countries, aligned with the onset of LHC civil engineering and CMS surface assembly at .

Collaboration Structure

The CMS Collaboration was officially formed in October 1992 with the submission of a Letter of Intent to CERN's LHC Experiments Committee, marking the beginning of a multinational effort to design and build the experiment. As of 2025, it comprises over 6,000 particle physicists, engineers, computer scientists, technicians, and students from 247 institutions and universities across 58 countries, reflecting its status as one of the largest international scientific collaborations in particle physics. The governance of the CMS Collaboration is structured around the Collaboration Board, which serves as the primary governing body responsible for making all major decisions on policies, resource allocation, and strategic directions for the experiment. The Management Board, chaired by the , implements these decisions and handles day-to-day operations, including representation to external bodies such as committees. The current , Gautier Hamel de Monchenault from in , assumed the role in September 2024 for a two-year term, succeeding previous leadership and marking the tenth management team since the collaboration's inception. Specialized committees support key areas, including the Physics Coordination group for coordinating analyses and the Data Policy Committee for managing data access, preservation, and open science policies. Resource contributions to the CMS experiment are distributed across member countries and institutions, with major nations providing expertise, funding, and hardware for specific components. For instance, the and led the design, construction, and commissioning of the Silicon Tracker, involving institutions like and INFN laboratories. Similarly, the Electromagnetic (ECAL) received significant input from the (e.g., ) and (e.g., Laboratoire de l'Accélérateur Linéaire), including development of front-end and crystal production oversight. Overall, Europe accounts for the largest share of contributions (led by , , , and the ), followed by the Americas (primarily the and ) and (including , , and ), ensuring a balanced global input to the detector's subsystems and operations. Recent management changes, such as the 2024 transition to the new leadership team including deputy spokespersons Anadi Canepa () and Hafeez Hoorani (), underscore the collaboration's emphasis on representation and continuity. To promote inclusivity, the CMS Collaboration established a dedicated Diversity & Inclusion Office in recent years, aimed at creating a supportive environment where all members can contribute fully, with initiatives like adopting deficiency-friendly color palettes for data visualizations and expanding outreach to underrepresented groups through programs like the US CMS Skills Inspiration for Leadership Development. These efforts align with CERN's broader 25 by '25 initiative to enhance and diversity across its collaborations.

Physics Objectives

Fundamental Questions Addressed

The experiment at the was designed to probe fundamental questions in , particularly those challenging the completeness of the and seeking extensions that address its shortcomings, such as the and the nature of . A central motivation is the investigation of electroweak symmetry breaking (EWSB), where the SM predicts that the SU(2)_L × U(1)_Y gauge symmetry is spontaneously broken to the U(1)_EM of electromagnetism, endowing with mass while leaving the massless. The provides the theoretical framework for this process, introducing a scalar Higgs field whose generates particle masses through interactions; CMS aims to confirm this mechanism by precisely the Higgs boson's properties, including its couplings to other particles, which would validate EWSB as the origin of electroweak masses if consistent with SM predictions. Beyond the SM, CMS targets searches for supersymmetry (SUSY), extra dimensions, and dark matter candidates to resolve issues like the stability of the electroweak scale against quantum corrections and the observed matter-antimatter asymmetry. SUSY posits superpartners for each SM particle, potentially stabilizing the Higgs mass and unifying forces; CMS detects these through signatures like missing transverse energy from stable lightest supersymmetric particles (LSPs), such as the neutralino, which could constitute cold dark matter if weakly interacting and long-lived. Extra dimensions, inspired by string theory, could lower the Planck scale and explain gravity's weakness; CMS probes them via Kaluza-Klein excitations of SM particles, graviton emission causing missing energy, or micro black holes decaying into high-multiplicity final states. These searches collectively address the dark matter problem, as undetected particles escaping into extra dimensions or as LSPs would manifest as imbalances in collision energy, providing indirect evidence for non-SM physics. CMS also performs precision tests of (QCD) and electroweak interactions at TeV-scale energies, where high-luminosity proton-proton collisions enable measurements rivaling lower-energy facilities like LEP. These include differential cross-sections for and , which constrain parton distribution functions and test perturbative QCD accuracy, as well as electroweak parameters like the mass and effective weak mixing angle, probing for deviations that might signal new physics scales. Such tests are crucial for validating SM consistency at high energies, where radiative corrections could reveal subtle EWSB details or beyond-SM contributions. Finally, CMS contributes to understanding masses and lepton flavor violation (LFV) by searching for processes forbidden in the minimal SM, such as μ → eγ or heavy in decays involving right-handed currents, which could arise in models extending the SM to incorporate observed oscillations and mixing. These investigations link low-energy physics to high-energy scales, potentially unveiling the origin of tiny masses through LFV signatures in multi-lepton events.

Targeted Particle Measurements

The Compact Muon Solenoid () detector is optimized for precise identification and measurement of s originating from electroweak processes such as and boson decays, as well as rare decays to muon pairs. Muon reconstruction combines information from the silicon tracker and dedicated muon chambers to achieve high , with multivariate techniques like the muon MVA ID providing continuous discrimination against backgrounds from decays or misidentified particles. These methods select prompt, isolated muons with transverse p_T > 10 GeV, yielding efficiencies above 95% in the central region while suppressing nonprompt contamination by factors of 2–3 compared to traditional isolation criteria. For Higgs to muon decays, additional corrections for final-state radiation and vertex constraints improve the dimuon resolution by 3–10%, enabling sensitivity to the narrow Higgs peak at around 125 GeV. The momentum resolution for muons is critical for these measurements, parametrized approximately as p_T / \Delta p_T \approx 1\% \times (p_T / 100 \, \text{GeV}) + 10\% / \sqrt{p_T / 100 \, \text{GeV}}, reflecting contributions from multiple scattering and track curvature measurement in the 3.8 T field. This resolution reaches 1–2% in the barrel for p_T \sim 100 GeV, degrading to 2–3.5% in the endcaps, and is calibrated using decays to ensure scale uncertainties below 0.2%. Such precision supports kinematic reconstruction of in events with high jet multiplicity and facilitates searches for supersymmetric extensions where muons signal cascade decays. Jet reconstruction in CMS targets signatures from top quark production and quantum chromodynamics (QCD) processes, using the anti-k_T clustering with distance parameters of 0.4 or 0.8 to group particle-flow candidates into collimated sprays. For s, which decay predominantly to b-jets plus W bosons, deep learning classifiers like convolutional neural networks analyze low-level detector features such as calorimeter deposits and pixel hits to distinguish top-initiated jets from QCD backgrounds, achieving signal efficiencies of around 66% at 1% misidentification rates. These techniques enable robust reconstruction of pairs even in boosted regimes, where decay products overlap, while substructure variables help quantify QCD jet multiplicity in underlying event modeling. Missing transverse energy (MET), computed as the negative vector sum of particle-flow transverse momenta, is essential for inferring neutrinos from W boson decays or lightest supersymmetric particles in SUSY models, where it signals unobserved weakly interacting particles. The particle-flow-based MET algorithm provides the best resolution, with type-I corrections for jet energy scale and pile-up mitigating smearing from additional interactions, achieving agreement between data and simulation within 10%. In SUSY searches, large MET thresholds (e.g., >200 GeV) define signal regions for pair-produced particles decaying to neutrinos or neutralinos, enhancing sensitivity to new physics beyond the Standard Model. Photon and electron detection in CMS focuses on clean signatures for Higgs boson decays to diphotons, leveraging electromagnetic calorimeter clusters matched to tracks for electrons and unconverted photons identified via shower shapes and isolation. Electron reconstruction efficiencies exceed 95% for p_T > 20 GeV, with multivariate classifiers achieving 70–90% identification rates across tightness levels, while photons benefit from energy resolutions of ~1% in the barrel to resolve the narrow Higgs mass peak. These capabilities, refined through Z boson calibration, support precise measurements of Higgs couplings in the H \to \gamma\gamma channel by suppressing QCD and electroweak backgrounds.

Detector Design

Overall Layout and Principles

The Compact Muon Solenoid (CMS) detector features a cylindrical, onion-like structure designed to surround the LHC collision point, with an overall length of 21 meters, a of 15 meters, and a total of 14,000 tonnes. This massive assembly is constructed from 15 prefabricated sections lowered into the underground cavern and integrated around the interaction point. The design emphasizes compactness and modularity to facilitate assembly and maintenance in the constrained space of the LHC . CMS provides nearly hermetic coverage over 4π steradians of , achieved through a symmetric barrel extending to pseudorapidities of |η| < 1.5 and endcap regions covering up to |η| < 5, ensuring comprehensive detection of particles produced in collisions from all directions. This full azimuthal and polar angular acceptance minimizes biases in event reconstruction, allowing precise measurements of particle momenta and energies across the detector volume. At the core of the design is a superconducting solenoid that generates a uniform magnetic field of 3.8 tesla, bending charged particle trajectories to enable momentum measurements and particle identification, particularly for muons penetrating the inner layers. The detector operates on the principle of layered detection, where innermost silicon trackers reconstruct particle tracks, followed by calorimeters that measure energy deposits from electromagnetic and hadronic showers, and outermost muon chambers that identify penetrating muons beyond the calorimeters. This sequential layering optimizes resolution by isolating different particle interaction signatures while maintaining overall efficiency. To endure the extreme conditions of the LHC, including high collision rates and intense radiation doses up to 10^{15} n_{eq}/cm² over its lifetime, all components are engineered with radiation-hard materials and technologies, such as silicon sensors tolerant to neutron and gamma-ray damage. This robustness ensures stable performance and data quality during prolonged operations at luminosities exceeding 10^{34} cm^{-2} s^{-1}.

Layered Component Integration

The Compact Muon Solenoid (CMS) detector employs a right-handed cylindrical coordinate system defined by radial distance r, azimuthal angle \phi, and pseudorapidity \eta = -\ln(\tan(\theta/2)), where \theta is the polar angle measured from the positive z-axis, with the origin at the nominal interaction point (IP). This system facilitates the description of particle trajectories and detector geometry, aligning the z-axis with the LHC beam direction and the x-axis pointing toward the center of the accelerator ring. The central tracking system, comprising the silicon pixel and strip trackers, provides high-precision measurements for charged particles within |\eta| < 2.5, enabling efficient reconstruction of tracks originating from the IP. The electromagnetic (ECAL) and hadronic (HCAL) calorimeters extend coverage to |\eta| < 3 in the barrel and endcap regions, while the forward HCAL reaches |\eta| < 5 for enhanced hermeticity in high-rapidity events. The muon system, utilizing drift tubes, cathode strip chambers, and resistive plate chambers embedded in the return yoke, maintains reconstruction efficiency above 98% up to |\eta| < 2.4, with forward extensions supporting muon identification in the broader detector envelope. Particle signals propagate radially outward from the IP through the layered components, ensuring seamless functional integration for event reconstruction. Charged particles, such as electrons, hadrons, and , traverse the inner , where silicon sensors record position measurements to form helical tracks in the 3.8 T solenoidal magnetic field, providing momentum estimates with transverse resolution better than 1% for p_T > 100 GeV. These tracks are extrapolated to the calorimeters, where electromagnetic showers from electrons and photons deposit primarily in the ECAL's lead tungstate crystals, followed by hadronic interactions in the HCAL's brass-scintillator sampling structure, yielding total measurements. Neutral particles, like photons and neutrons, bypass the tracker and deposit directly in the calorimeters, while , minimally ionizing, pass through with negligible energy loss and are detected as hits in the outer muon chambers, allowing precise matching to inner tracks for global muon identification and momentum refinement. This radial signal flow supports particle-flow , combining , calorimeter, and muon data to optimize and missing transverse estimates. Functional linkages across layers are maintained through precise handling of overlap regions and alignment procedures to minimize systematic uncertainties in track propagation. Overlap interfaces, such as those between the tracker barrels and endcaps or tracker and calorimeter envelopes, feature modular designs with staggered sensors to avoid dead zones, enabling tracks to cross boundaries for relative position validation using cosmic-ray muons and collision data. is achieved via track-based algorithms that minimize residuals from reconstructed tracks, iteratively adjusting up to 200,000 parameters for the tracker (achieving <10 \mum precision) and 50,000 for the muon system (100-500 \mum precision), supplemented by laser and optical surveys during assembly and operations. These procedures, updated every few days using data-driven fits, account for mechanical deformations and thermal effects, ensuring coherent coordinate transformations across subsystems for accurate extrapolation of tracks from the IP through the calorimeters to the muon detectors. Integrating the superconducting solenoid introduces significant challenges due to its cryogenic operation, which impacts the inner layers through mechanical, thermal, and field-related constraints. The solenoid, generating a uniform 3.8 T field over a 6 m bore, is cooled to 4.5 K via a thermosyphon system with , storing 2.6 GJ of magnetic energy and requiring robust quench protection to prevent damage during ramp-up or faults. Cryogenic services, including helium supply lines and vacuum insulation layers, must thread through the detector structure without introducing excess material that could degrade tracker efficiency or calorimeter response, necessitating compact routing and thermal shielding to maintain room-temperature operation for inner components. The cold-to-warm transitions induce Lorentz forces that shift endcap positions by up to 2.6 cm axially, addressed through pre-stressed supports and monitoring systems, while the field enhances scintillation light yield in inner detectors by approximately 10% but demands precise field mapping for track curvature corrections. These challenges were resolved during assembly by integrating the solenoid coil directly into the barrel yoke, ensuring structural rigidity and minimal interference with signal propagation in the inner volume.

Core Detector Components

Interaction Point and Beam Pipe

The interaction point in the Compact Muon Solenoid (CMS) experiment marks the precise location of proton-proton collisions within the (LHC), positioned at the origin of the CMS coordinate system and surrounded by the innermost detector components to capture particles emerging from these high-energy events. The beam pipe encases this region, serving as a vacuum conduit for the circulating beams while minimizing interference with particle trajectories; its design prioritizes a low material budget to preserve the fidelity of tracks originating near the collision vertex. The central beam pipe consists of a beryllium section, chosen for its low atomic number (Z=4) and density (1.85 g/cm³), which significantly reduces multiple scattering compared to higher-Z materials like aluminum or steel; this scattering would otherwise degrade momentum measurements and vertex positions. The beryllium portion features an inner radius of approximately 2.2 cm, a wall thickness of 0.8 mm, and extends roughly 1.9 m along the beam axis on either side of the interaction point (total central beryllium length of about 3.8 m), transitioning to aluminum conical sections beyond for structural support and vacuum pumping compatibility. This configuration yields a material budget of ~0.2% of a radiation length (X₀) in the central region, ensuring that less than 0.5% of particle energy is lost to interactions within the pipe itself. Integrated directly around the beam pipe is the pixel detector, whose innermost barrel layer (part of four layers) is positioned at a radius of 2.9 cm, providing the closest sensitive volume to the interaction point and enabling precise reconstruction of primary vertices from collision debris. Through charge-sharing interpolation across pixel boundaries, this setup achieves transverse vertex resolutions of 10–20 μm for tracks with transverse momentum above 1 GeV/c, crucial for identifying short-lived particles like b-hadrons in heavy-ion and proton-proton runs. Luminosity, a measure of collision rate, is monitored in real-time via pixel cluster counts from beam-gas interactions and minimum-bias events, allowing calibration of integrated luminosity to within 5% accuracy per fill. The pixel detector interfaces with the surrounding silicon strip tracker to extend track reconstruction outward, but its primary role remains vertexing near the beam pipe. The environment at the interaction point imposes extreme radiation challenges, with the innermost pixel layers exposed to fluences up to 10⁹ n_eq/cm² per year during LHC Run 3 operations at luminosities of 1–2 × 10³⁴ cm⁻² s⁻¹. The beryllium pipe's minimal thickness and material content help mitigate this by limiting secondary particle production from beam-halo interactions, while the overall design incorporates radiation-hardened materials and cooling systems to sustain performance over extended runs. No major upgrades to the beam pipe itself occurred for Run 3, though its low-mass profile supports the Phase-1 pixel detector upgrade installed in 2017, which reduced the inner radius from 4.4 cm to 2.9 cm for improved vertexing efficiency.

Silicon Tracker

The Silicon Tracker is the innermost subdetector of the CMS experiment, responsible for reconstructing the trajectories of charged particles produced in proton-proton collisions at the LHC. It combines a high-resolution pixel detector near the interaction point with a larger microstrip detector to achieve precise momentum measurements and vertex reconstruction over a wide pseudorapidity range of |η| < 2.5. The pixel detector features a barrel region with four layers at radii of approximately 2.9 cm, 6.8 cm, 10.9 cm, and 16.0 cm, complemented by three endcap disks per side at z positions of approximately ±29 cm, ±40 cm, and ±52 cm. Surrounding this is the strip detector, which includes four layers in the inner barrel (TIB) and six layers in the outer barrel (TOB), along with six endcap disks to extend coverage in the forward regions. This layered structure allows for multiple measurements per track, improving resolution and efficiency in reconstructing vertices near the interaction point. The pixel sensors are fabricated from n-in-n silicon with 100 × 150 μm² pixel size, providing 124 million readout channels and an active area of roughly 1.8 m² in the Phase-1 configuration (installed 2017). The Phase-1 upgrade enhanced radiation hardness by introducing a new innermost layer, thinner sensors, and upgraded readout chips. The strip detectors use single- and double-sided silicon sensors, 300 μm thick, with strip pitches of 80–180 μm, contributing approximately 10 million channels; the total tracker active silicon area exceeds 200 m² when including strips. Key performance metrics include a transverse impact parameter resolution of about 15 μm for tracks with transverse momentum p_T ≈ 100 GeV, enabling the identification of decay vertices displaced from the primary interaction point. In the strip region, energy loss per unit length (dE/dx) measurements provide complementary particle identification, distinguishing electrons, muons, and hadrons with resolutions around 13–15%. Overall hit efficiency surpasses 98% for tracks with p_T > 1 GeV, ensuring robust even in high-multiplicity events. Radiation damage from the LHC environment, expected to reach fluences of up to 10^{15} n_{eq}/cm² over the detector's lifetime, is mitigated through specialized design features. sensors are connected to readout chips via bump bonding, which maintains electrical integrity under irradiation, while the entire tracker operates at a cooled of -20°C using a CO₂ evaporative system to reduce and leakage currents in the . These measures ensure sustained performance through multiple LHC runs.

Electromagnetic Calorimeter

The electromagnetic calorimeter (ECAL) of the Compact Muon Solenoid (CMS) detector is a high-precision instrument designed to measure the energies and positions of electrons and photons produced in high-energy collisions. It employs a homogeneous of lead tungstate (PbWO₄) scintillation crystals, selected for their high density (8.28 g/cm³), short (0.89 cm), and fast light emission (80-85% within 25 ns), which enable efficient containment of electromagnetic showers while minimizing the impact of hadronic backgrounds. The ECAL provides coverage over pseudorapidity |η| < 3, essential for reconstructing decay products like photons from Higgs boson decays without significant gaps. The ECAL comprises a central barrel and two endcaps, with a total of approximately 76,000 PbWO₄ crystals: 61,200 in the barrel (|η| < 1.479) and 7,324 in each endcap (1.479 < |η| < 3). Each crystal is a tapered, longitudinally segmented rod (approximately 23 cm long in the barrel, equivalent to 25.8 radiation lengths) that produces scintillation light proportional to the deposited energy when traversed by electromagnetic particles. The fine granularity—crystals subtending about 0.0174 × 0.0174 in η-φ—allows precise reconstruction of shower shapes, aiding in particle identification. Readout is achieved via photosensitive detectors: avalanche photodiodes (APDs) in the barrel, which offer high quantum efficiency (>80% at 420-440 nm, matching PbWO₄ emission) and gain (~50) under a 400 V bias, and vacuum phototriodes (VPTs) in the endcaps for in higher regions. Each crystal-APD/VPT pair connects to dedicated very-front-end that amplify and shape signals, providing multi-gain ranges up to ~2 TeV. Stability is maintained by a monitoring system that injects pulsed light (at 440 nm and 796 nm wavelengths) into each crystal via optical fibers, allowing real-time measurement and correction of transparency changes due to or temperature variations (stabilized to <0.1°C). The ECAL achieves an energy resolution parametrized as \Delta E / E = 2\% / \sqrt{E(\text{GeV})} \oplus 0.1\% \times E(\text{GeV}) \oplus 0.55\%, dominated by the stochastic term from shower statistics at low energies and the constant term from calibration precision at high energies. This performance, verified in proton-proton collisions, yields better than 2% resolution for electrons from Z-boson decays in the barrel central region (|η| < 0.8). For the Higgs boson discovery in the diphoton (H → γγ) channel, the ECAL delivered ~1% resolution at 125 GeV, enabling a reconstructed mass peak width of ~2.4 GeV and contributing decisively to the 5σ observation. Electron identification is enhanced by associating ECAL clusters with tracks from the silicon tracker. To cope with the High-Luminosity LHC (HL-LHC) era's increased pileup (up to 200 interactions per crossing), ECAL upgrades focus on timing precision, incorporating enhanced laser monitoring with picosecond resolution to timestamp photon arrivals and suppress out-of-time pileup contributions. New front-end electronics will support higher sampling rates (up to 160 MS/s) and trigger primitives, preserving the ~30 ps timing resolution for electrons/photons above 50 GeV while maintaining energy precision.

Hadronic Calorimeter

The Compact Muon Solenoid (CMS) Hadronic Calorimeter (HCAL) is a sampling calorimeter designed to measure the energy of hadronic showers produced by jets and missing transverse energy, complementing the electromagnetic calorimeter for distinguishing electromagnetic from hadronic interactions. It employs a brass-scintillator sampling structure in its barrel (HB) and endcap (HE) regions, providing coverage up to a pseudorapidity of |η| < 3. The absorber consists of brass plates interleaved with plastic scintillator tiles, where charged particles in hadronic showers produce light via ionization, which is then collected and converted to electrical signals. In the barrel region, the HCAL extends radially from 1.8 m to 2.95 m, with a depth of approximately 80–90 cm corresponding to 5–6 nuclear interaction lengths, while the endcaps provide deeper coverage of up to 10 interaction lengths using thicker brass plates. The energy resolution for reconstructed jets is parameterized as \Delta E / E \approx 80\% / \sqrt{E(\text{GeV})} \oplus 5\%, achieving adequate precision for high-energy physics analyses despite the inherent fluctuations in hadronic showers. Signals are read out using hybrid photodiodes (HPDs), which offer a high dynamic range up to 10^5 photoelectrons and operate at gains of around 2000, with the system featuring longitudinal segmentation into five depths to better characterize shower development and improve jet reconstruction. The forward HCAL (HF) extends the coverage to 3 < |η| < 5, utilizing quartz fibers embedded in a copper absorber matrix to detect Cherenkov radiation from shower particles, which provides enhanced radiation tolerance in the high-flux environment near the beam pipe. This design withstands integrated doses up to 50 kGy and neutron fluences of 10^10–10^11 n/cm² over the LHC's operational lifetime, with tower segmentation into electromagnetic, hadronic, and tail-catcher sections for refined energy deposition profiling. As part of the Phase-1 upgrade implemented during the 2017–2018 long shutdown, the readout photodetectors in the HB and HE were replaced with silicon photomultipliers (SiPMs), which deliver sub-nanosecond timing resolution (around 0.5 ns) to mitigate pileup effects in high-luminosity running and enhance missing energy reconstruction. This upgrade, involving over 18,000 SiPMs, also incorporates time-to-digital converters in the front-end electronics for precise bunch-crossing identification, while maintaining the five-depth segmentation for improved shower profiling.

Superconducting Solenoid

The superconducting solenoid forms the central magnet system of the Compact Muon Solenoid (CMS) detector, generating a uniform axial magnetic field of 3.8 tesla (nominal operation) across its 6-meter-diameter bore and 12.5-meter length. This design achieves one of the highest field strengths among particle physics solenoids, balancing power density with structural integrity to support precise momentum resolution for charged particles. The solenoid coil consists of niobium-titanium (NbTi) superconducting strands embedded in a high-purity aluminum matrix for stabilization, wound into four layers using 20 flat cables with a total length of 45 kilometers. The cold mass, including the coil and support structures, weighs 220 tonnes and operates at 4.5 kelvin, cooled indirectly via a thermosiphon system circulating to prevent hotspots and maintain zero-resistance current flow up to 20 kiloamperes. At nominal operation, it stores 2.6 gigajoules of magnetic energy, equivalent to the output of a large power plant for several seconds, highlighting its engineering scale as the highest-energy thin solenoid ever built. In the event of a quench—where superconductivity is lost and the current must be rapidly reduced—the stored energy is dissipated through an external dump resistor connected via switches, limiting peak voltages and temperatures to protect the coil windings. The system's inductance of approximately 14 henry and dump resistance yield a time constant on the order of hundreds of seconds for safe energy extraction, with active quench detection using voltage taps across subsections to initiate the process within milliseconds. Construction of the solenoid involved international collaboration, with major contributions from US laboratories including Fermilab (responsible for conductor production and testing) and Lawrence Berkeley National Laboratory (supporting mechanical design), alongside winding at the CEA Saclay facility in France. The completed cold mass was fully tested at full field in the CERN surface assembly hall from August to November 2006, confirming stable operation without quenches up to 4 tesla. It was then inserted into the CMS barrel assembly on 28 February 2007 and lowered 100 meters into the underground cavern over 28 hours, a precise operation requiring specialized rigging to align the 230-tonne structure within millimeter tolerances. A critical aspect of the solenoid's design is its vacuum-tight cryostat, which doubles as the enclosing vessel for the inner silicon tracker and electromagnetic calorimeter, eliminating the need for separate vacuum chambers and enabling their direct immersion in the high-field volume. This integration minimizes material between the interaction point and outer detectors, reducing multiple scattering and preserving resolution in a compact 15-meter overall detector height. The strong field also bends muon tracks for momentum measurement with a resolution of about 1% at 100 GeV/c.

Muon System and Return Yoke

The muon system of the (CMS) detector is designed to identify and measure muons emerging from proton-proton collisions at the (LHC), leveraging their high penetrative power to traverse the inner detector components. Positioned outside the calorimeters and within the return yoke of the superconducting solenoid, the system provides precise tracking and triggering capabilities for muons, contributing to momentum measurements through curvature in the 3.8 T magnetic field generated by the solenoid. It consists of three complementary subdetectors: drift tube (DT) chambers in the barrel region, cathode strip chambers (CSC) in the endcaps, and resistive plate chambers (RPC) covering both barrel and endcap regions. These chambers enable high-efficiency muon detection over a wide pseudorapidity range, essential for physics analyses involving processes like W and Z boson decays. The DT chambers, numbering 250 in total, are installed in the central barrel and operate on the principle of drift ionization in gas-filled tubes. Each chamber features 12 layers of drift tubes, arranged in three superlayers for 3D position measurement, providing robust tracking in the low-pseudorapidity region. The CSC system comprises 540 chambers distributed across four stations on each of the five endcap disks, using multiwire proportional chambers with cathode strips for high-rate environments near the beam pipe. RPCs, totaling 610 chambers, serve primarily as fast trigger detectors with parallel-plate avalanche counters, offering timing resolution around 1-2 ns; they are placed in both the barrel (as square modules) and endcaps (as trapezoidal modules) to enhance redundancy. Together, these technologies ensure comprehensive coverage and minimize dead zones in the detector. The muon system's pseudorapidity coverage is |η| < 1.2 for DT chambers, 0.9 < |η| < 2.4 for CSC chambers, and |η| < 1.6 for RPC chambers, allowing efficient detection across most of the CMS acceptance. Spatial resolutions vary by chamber type: DT chambers achieve ~100 μm per station from single-hit resolutions of ~260 μm, while CSC resolutions range from 47 μm to 243 μm depending on the station. Momentum resolution from standalone muon tracks, derived from sagitta measurements in the solenoid field, reaches Δp_T / p_T < 15% at p_T = 1 TeV, sufficient for identifying high-energy muons in events with large backgrounds. Trigger efficiency exceeds 99% for muons with p_T > 10 GeV, supported by the redundant layering that rejects fakes from hadronic showers. The return yoke, constructed from 12,000 tons of low-carbon , serves a dual purpose: it closes the magnetic flux path from the to confine stray fields below 10 gauss outside the detector volume and provides structural support for the chambers. Segmented into five barrel wheels and six disks for ease of and access during and upgrades, the is interleaved with the muon stations, allowing muons to traverse multiple layers while hadrons are absorbed. This design enhances identification by isolating penetrating particles and supports the overall detector stability under LHC conditions.

Data Acquisition and Processing

Trigger and Readout Systems

The Compact Muon Solenoid (CMS) employs a two-level system to manage the high rate of proton-proton collisions at the (LHC), selecting potentially interesting events in while discarding the majority to fit within constraints. The Level-1 (L1) operates as a hardware-based system, processing data from the calorimeters and detectors at the LHC's 40 MHz bunch-crossing frequency and reducing the event rate to approximately 100 kHz with a of about 4 μs. This initial selection relies on coarse-grained trigger primitives, such as sums from the electromagnetic and hadronic calorimeters and segments from the muon chambers, evaluated using field-programmable gate arrays (FPGAs) in a pipelined architecture that assigns data to the correct bunch crossing with over 99% efficiency. Following L1 acceptance, the High-Level Trigger (HLT) performs software-based filtering on a farm of commercial processors, accessing the full detector readout to reconstruct events with higher precision and further reducing the rate to around 1 kHz for permanent storage. The HLT incorporates detailed tracking from the silicon pixel and strip detectors, along with calorimeter and muon information, enabling complex selections like multi-object correlations and particle-flow reconstruction, with typical processing times of 100-200 ms per event. This step achieves an overall rate reduction by a factor of about 10^4 from the initial bunch-crossing rate, prioritizing physics channels such as Higgs boson decays or supersymmetric signatures while supporting specialized streams for calibration and monitoring. During Run 3 (2022-2025), enhancements include 40 MHz L1 scouting for detailed calorimeter data, GPU-accelerated HLT processing, and machine learning-based triggers using algorithms like ParticleNet, enabling higher output rates up to ~1.5 kHz for prompt reconstruction while supporting specialized streams. The readout system transfers accepted event data from front-end electronics to the DAQ via over 1,000 links, achieving a total of approximately 1 Tbit/s to handle the ~1.5 average event size. Data from detectors like the and calorimeters are zero-suppressed and serialized into fragments by Front-End Drivers (FEDs), then assembled by the Event Builder into complete events for HLT processing, with synchronization ensured by the Timing, , and (TTC) system distributing a 40.08 MHz clock and bunch-crossing identifiers across all subsystems with sub-nanosecond precision. This infrastructure maintains quasi-deadtimeless operation, storing data in on-detector buffers during the L1 to align with the 25 bunch-crossing interval. As part of the Phase-1 upgrade implemented before LHC , the L1 trigger was enhanced with more powerful Virtex-7 FPGAs and high-bandwidth optical interconnects, improving processing flexibility for primitives at single-crystal granularity in the electromagnetic calorimeter and better muon track , which indirectly supports tracking-related decisions without full track finding at L1. These upgrades increased the system's adaptability to higher instantaneous luminosities, enabling refined algorithms for , , and triggers while maintaining the 100 kHz output rate.

Event Reconstruction

Event reconstruction in the Compact Muon Solenoid (CMS) experiment transforms raw detector data into physics objects such as tracks, vertices, jets, and missing transverse energy (MET), enabling the identification of particles and events from proton-proton collisions at the (LHC). This process occurs within the CMS Software (CMSSW) framework, a modular system that integrates simulation, reconstruction, and analysis modules to handle the high data rates and complexity of LHC events. The reconstruction pipeline begins with trigger-selected events and proceeds through iterative algorithms that account for the detector's layered structure, mitigating effects like pileup from multiple interactions per bunch crossing. Track finding for charged particles employs the Combinatorial Kalman Filter (CKF), an iterative algorithm that reconstructs trajectories by seeding with hit combinations in the silicon tracker, followed by pattern recognition and fitting. The CKF updates track parameters iteratively, incorporating measurements from the and detectors while propagating through the to predict subsequent hits. High-quality tracks from initial iterations have their hits removed, allowing subsequent passes to recover tracks from lower- particles, electrons from conversions, and by combining inner tracker hits with those from the muon system. This iterative removal enhances efficiency for electrons and muons, achieving reconstruction efficiencies above 99% for with transverse p_T > 10 GeV in the barrel . Calorimeter clustering identifies energy deposits from electromagnetic (EM) and hadronic showers using topological algorithms that group adjacent cells based on energy thresholds and connectivity. In the electromagnetic calorimeter (ECAL), clusters are seeded by local energy maxima and expanded to include neighboring cells, forming EM showers with energies calibrated to electron-equivalent scales. For the hadronic calorimeter (HCAL), topological clustering aggregates cells into hadronic showers, compensating for non-uniform response to distinguish hadron energies. These clusters serve as inputs to particle-flow reconstruction, which combines tracker, ECAL, and HCAL information for improved jet and MET resolution. Physics objects like jets are reconstructed using the anti-k_T clustering , which sequentially recombines particle-flow candidates into jets with a distance parameter R = 0.4 or 0.8, prioritizing collinear emissions for well-defined cone-like structures. The algorithm measures pairwise distances between candidates and a beam axis, merging the closest until all are clustered, providing - and collinear-safe jets suitable for perturbative QCD calculations. Missing transverse energy, \vec{E}_T^{miss}, is computed as the negative vector sum of transverse momenta from all particle-flow candidates: \vec{E}_T^{miss} = -\sum \vec{p}_T where \vec{p}_T represents the transverse momentum of visible particles; this quantifies the imbalance from undetected particles like neutrinos, with resolutions improved by particle-flow to about 10-15% better than calorimeter-only methods. Vertex fitting reconstructs interaction points using an adaptive weighted least-squares method on track clusters, robust against outliers from pileup. Tracks are first clustered deterministically based on impact parameters, then fitted with adaptive weights that downplay poorly measured tracks, yielding primary vertex resolutions of about 10-20 μm in the transverse plane for high-multiplicity events. This approach mitigates pileup by selecting the vertex with the highest summed track p_T^2, achieving efficient reconstruction even at instantaneous luminosities exceeding $10^{34} cm^{-2}s^{-1}. All components integrate within CMSSW's event data model, producing standardized outputs for downstream analysis.

Offline Data Analysis

Offline data analysis in the Compact Muon Solenoid (CMS) experiment involves the simulation of particle interactions, statistical interpretation of reconstructed events, and validation against data to ensure accurate physics modeling. Monte Carlo (MC) simulations are central to this process, generating synthetic events that mimic proton-proton collisions and propagate particles through a detailed detector model. The event generation typically employs or MadGraph5_aMC@NLO (MG5) for hard-scattering processes, parton showers, and , providing a realistic representation of and electroweak interactions. The detector response is then simulated using , which models energy deposits, particle trajectories, and interactions in the CMS components with high fidelity, enabling the comparison of simulated and observed data for physics analyses. Statistical methods form the backbone of offline analysis, allowing physicists to extract signals from background noise and quantify uncertainties. Likelihood fits, often implemented via the RooFit framework, are used to model distributions of reconstructed quantities such as invariant masses or kinematic variables, optimizing parameters that describe signal and background hypotheses. Systematic uncertainties are rigorously assessed and propagated, with examples including the jet energy scale uncertainty, which ranges from 2% to 5% depending on jet pseudorapidity and transverse momentum, arising from calibration procedures and modeling differences. These uncertainties are incorporated into profile likelihood ratios, enabling hypothesis tests that account for both statistical and systematic effects in searches for new physics. Validation of simulations relies on achieving good agreement between data and MC predictions, particularly through and procedures. The tracker and systems are aligned using tracks from Z boson decays to dimuons (Z → μμ), which provide a clean sample of well-measured leptons to minimize residuals and improve resolution to the percent level. This process ensures data-MC concordance in key observables like track efficiencies and momentum scales, with discrepancies typically below 1-2% after iterative refinements. The computational demands of offline analysis are met through the Worldwide LHC Computing Grid (WLCG), a distributed spanning over 170 sites worldwide that handles , , and workflows. As of 2025, CMS generates and processes petabytes of MC events annually, with collision exceeding 250 PB on disk and 1,200 PB on tape, accumulating roughly 30-50 PB per year during Run 3 operations and projected to reach 50-100 PB per year during future high-luminosity LHC operations including derived datasets. Machine learning techniques enhance precision, notably in b-jet tagging where deep neural networks like DeepCSV classify jets containing bottom quarks by learning from low-level features such as and information, achieving misidentification rates below 1% for light jets while maintaining high efficiency for b-jets. These methods, trained on large MC samples, are integrated into the CMS to improve flavor identification in and studies.

Operations and Upgrades

Construction and Installation Milestones

The construction of the Compact Muon Solenoid (CMS) detector involved the fabrication of its major components across multiple international sites, culminating in integration at . The silicon tracker, the innermost detector responsible for precise particle tracking, underwent final assembly at the CERN Tracker Integration Facility, with completion in March 2007 after substructure testing began in late 2006. The electromagnetic calorimeter (ECAL), composed of lead tungstate crystals for energy measurement, completed its assembly process in mid-2007, including the integration of supermodules with cooling and electronics systems. These fabrication efforts were coordinated by the , drawing on contributions from over 40 countries to ensure compatibility with the detector's high-field environment. Surface assembly of the CMS detector occurred in a dedicated building at Cessy, France, from 2006 to 2007, where components were integrated layer by layer into 15 large slices weighing up to 1,430 tonnes each. This phased approach allowed for testing and adjustments before underground installation, with the process spanning eight years of preparatory work in the surface hall. The superconducting , providing the 4-tesla , was the first major element fully assembled on the surface and tested there before descent. Lowering the assembled slices into the P5 experimental cavern, 100 meters underground near Cessy, took place from late 2006 to early 2008. The solenoid was the initial component lowered on December 26, 2006, followed by the barrel calorimeters in 2007 and the silicon tracker in December 2007. The process concluded with the final endcap slice on January 22, 2008, marking the completion of physical installation ahead of the Large Hadron Collider (LHC) startup. Commissioning began with cosmic ray tests in early 2008 to verify subsystem integration without interference, involving up to 60 personnel per session and recording millions of events. These tests transitioned to full operation by mid-2008, confirming alignment and performance. The first LHC beams circulated through on , 2008, enabling initial beam-halo and splash events for calibration. The entire project, valued at approximately $1 billion through international contributions, was completed on schedule for LHC operations.

Operational Runs and Performance

The Compact Muon Solenoid (CMS) detector commenced operations during LHC Run 1 from 2010 to 2012, with proton-proton collisions at center-of-mass energies of 7 TeV in 2010–2011 and 8 TeV in 2012, accumulating an integrated of approximately 25 fb⁻¹. The detector achieved high operational efficiency, with uptime exceeding 95% across the run periods, enabling stable data collection despite initial commissioning challenges. LHC Run 2, spanning 2015 to 2018, operated at 13 TeV for proton-proton collisions, delivering about 140 fb⁻¹ of integrated to . The experiment maintained uptime above 95%, with 95.87% efficiency recorded in 2018 alone, supported by automated recovery systems that minimized downtime from trigger and readout issues. A notable challenge occurred in 2018 when an LHC quench due to losses interrupted operations, requiring several days for recovery and affecting luminosity delivery in that year. Additionally, issues with the detector's DC-DC converters, stemming from charge buildup faults, prompted upgrades to enhance powering stability ahead of subsequent runs. Run 3 began in 2022 at 13.6 TeV for proton-proton collisions and extended through November 2025, achieving approximately 321 fb⁻¹ of integrated luminosity as of November 2025, including a record-breaking 125.4 fb⁻¹ delivered during the 2025 proton run, surpassing initial projections through improved machine performance. CMS sustained uptime greater than 95% throughout, bolstered by pre-run interventions such as refurbished CO₂ cooling connections in the forward pixel detector to address leaks and thermal management concerns from prior operations. By the end of 2025, the cumulative integrated luminosity across all runs reached approximately 486 fb⁻¹, underscoring the detector's reliability in high-intensity environments.

High-Luminosity LHC Upgrades

The High-Luminosity Large Hadron Collider (HL-LHC) upgrade, scheduled to begin operations around 2029, will increase instantaneous luminosities by a factor of 5 to 7.5 compared to the LHC design, aiming for an integrated luminosity of up to 3000–4000 fb⁻¹ over its lifetime, while delivering radiation doses up to 10¹⁶ n_eq/cm² in the innermost detector regions. To maintain CMS's physics performance under these conditions, including pileup of up to 200 interactions per bunch crossing, the experiment is undergoing phased upgrades to its subdetectors, with a focus on radiation tolerance, improved granularity, and enhanced timing capabilities. These modifications, planned during Long Shutdowns 2 (LS2, 2018–2019) and 3 (LS3, 2026–2029), ensure robust tracking, calorimetry, and muon identification for precision measurements in the HL-LHC era. Phase-1 upgrades, implemented primarily during 2017–2018, targeted immediate enhancements to handle increased pileup during Run 3 and early HL-LHC preparations. The pixel tracker was replaced with a new design featuring four barrel layers and three endcap disks, positioned closer to the interaction point for better and b-tagging , while incorporating CO₂ cooling and lightweight mechanics to reduce material. This upgrade improves tracking robustness in high-pileup environments up to 60 interactions per crossing. Concurrently, the hadronic calorimeter (HCAL) received a timing layer upgrade, replacing hybrid photodiodes with silicon s (SiPMs) in the barrel and endcaps, and multi-anode tubes in the forward region, along with depth segmentation and new front-end electronics using GBT optical links. These changes enhance timing , profiling, and rejection, with backend electronics installed by 2015 and full front-end deployment during LS2. Phase-2 upgrades, set for LS3 (2026–2029), involve more extensive replacements to cope with the full HL-LHC and demands. The tracker will be completely overhauled, with the outer tracker replaced by a system of approximately 13,000 modules comprising 1,250 pixel- (PS) and 1,000 stereo- (2S) modules, totaling around 218 million channels—roughly 10 times the current tracker's capacity—and extending coverage to |η| < 4.0. This new outer tracker, integrated with a pixel-based inner tracker featuring 2 × 10⁹ channels (pixel size 25 × 100 μm²), provides input to the Level-1 trigger for tracks with p_T > 2 GeV, enabling efficient pileup mitigation. The calorimeters (ECAL and HCAL) will be upgraded to a high-granularity (HGCAL) with 50 layers of sensors covering 1.5 < |η| < 3.0, offering about 6 million channels of 0.5–1 cm² granularity in the electromagnetic section and 240,000 scintillator channels in the hadronic section, operated at -35°C for hardness up to 2 MGy. Barrel calorimeters will receive new electronics, including Barrel Calorimeter Processor boards, to maintain performance. A key addition in Phase-2 is the Minimum Ionizing Particle (MIP) Timing Detector (MTD), designed to provide 30–65 ps resolution per track across |η| < 3.0, using crystal scintillators in the barrel timing layer (BTL, |η| < 1.45) and Low-Gain Avalanche Diodes (LGADs) in the endcap timing layer (ETL, 1.6 < |η| < 3.0). This system mitigates pileup by associating tracks to the correct vertex through 4D reconstruction, improving object isolation in dense events. For the muon system, Phase-2 upgrades focus on electronics replacements in the Drift Tubes (DT) and Cathode Strip Chambers (CSC) to handle Level-1 trigger rates up to 750 kHz, with new on-board processors (e.g., OBDT for DT, DCFEBv2 for CSC) supporting hit rates of ~50 Hz/cm² and optical links for high throughput. These enhancements, including improved algorithms for track reconstruction and displaced muon triggers, ensure >98% efficiency at 200 pileup while extending coverage with additional Gas Electron Multiplier () and improved Resistive Plate Chamber (iRPC) stations. Overall, these upgrades position CMS to collect and analyze data at unprecedented scales, targeting 3000 fb⁻¹ by around 2040.

Scientific Achievements

Major Discoveries

One of the landmark achievements of the Compact Muon Solenoid (CMS) experiment was its contribution to the observation of the in 2012. Analyzing proton-proton collision data collected at center-of-mass energies of 7 and 8 TeV, CMS identified a new scalar particle with a mass of 125.3 ± 0.4 (stat) ± 0.4 (syst) GeV in the diphoton (H → γγ) and four-lepton (H → ZZ → 4ℓ) decay channels, achieving local significances of 4.1σ and 3.2σ, respectively. When combined with results from the , the overall significance exceeded 5σ, confirming the existence of the long-sought predicted by the . This discovery, announced on July 4, 2012, at , validated the mechanism for electroweak symmetry breaking and particle mass generation. CMS has significantly advanced the understanding of properties through precise measurements during the early LHC runs. In analyses of top-antitop , CMS observed spin correlations between the top quarks, with a strength consistent with predictions at the level of 3.2σ significance using dilepton final states from 8 TeV data. Additionally, the experiment refined the mass measurement to an unprecedented precision of approximately 0.5 GeV, employing kinematic reconstruction in lepton+jets events and achieving a value of 172.44 ± 0.48 GeV from combined 7 and 8 TeV data. These results provided critical tests of and constraints on new physics models affecting heavy quark dynamics. The CMS detector enabled the first evidence for the rare decay B_s^0 → μ^+ μ^-, observed in 2013 using 7 and 8 TeV collision data corresponding to an integrated luminosity of 25 fb^{-1}. The measured branching fraction was (2.9 ± 0.6 (stat) ± 0.2 (syst)) × 10^{-9}, aligning with the Standard Model prediction of approximately 3.6 × 10^{-9} and yielding a significance of 4.3σ. This observation, later confirmed at over 6σ in combination with LHCb data, offered stringent tests of flavor-changing neutral currents and probes of physics beyond the Standard Model in the beauty sector. CMS investigations into diboson production contributed to electroweak studies by identifying mild excesses in the mass spectrum during Run 1. In searches for massive resonances decaying to or bosons plus jets at 8 TeV, a broad local excess of 2.7σ was noted around 1.9 TeV in the W-tagged dijet channel, with no significant deviation in or WW-specific analyses. These findings, while not establishing new particles, enhanced precision measurements of diboson cross sections and informed electroweak symmetry tests, with observed rates agreeing with expectations within uncertainties. Searches for (SUSY) by in early LHC data yielded no signals, setting robust lower mass limits on superpartners. Using simplified models from 8 TeV collisions with up to 19.4 fb^{-1} of data, excluded gluinos up to 1.6 TeV and squarks up to 1.1 TeV in scenarios with light neutralinos, depending on the decay topology. These limits, derived from multijet plus missing transverse energy final states, significantly constrained SUSY parameter space and motivated refined theoretical interpretations.

Recent Physics Results

In 2024, the CMS collaboration reported a high-precision measurement of the W boson mass using proton-proton collision data at 13 TeV from 2016, yielding a value of 80.3602 ± 0.0099 GeV. This result aligns closely with the prediction of approximately 80.360 ± 0.006 GeV, derived from global electroweak fits, and achieves a precision surpassing previous LHC measurements while resolving the discrepancy observed in the 2022 CDF result from data. The analysis focused on W → μν decays, leveraging improved detector calibrations and theoretical inputs to minimize systematic uncertainties from and electroweak effects. Recent measurements have advanced the of couplings to third-generation s, particularly in the H → b\overline{b} and H → ττ channels, reaching relative uncertainties of around 10% for fusion and associated modes using combined data. These results, incorporating up to 138 fb^{-1} of integrated , confirm the expectation of Yukawa couplings proportional to masses and help resolve earlier mild tensions between and rates observed in channels. For instance, the signal strength in VH → H → b\overline{b} (with V = W or Z) is measured at 1.02 ± 0.10, while for H → ττ it stands at 0.95 ± 0.09, both consistent with unity and enabling tighter constraints on effective field theory operators that could modify these interactions. The CMS collaboration received a share of the 2025 Breakthrough Prize in Fundamental Physics, awarded jointly with ATLAS, ALICE, and LHCb, recognizing transformative contributions from LHC Run 2 data (2015–2018) analyzed up to mid-2024. The prize highlights precise Higgs boson property determinations, electroweak symmetry breaking tests, and quantum chromodynamics validations, including over 100 peer-reviewed papers that established the Higgs mechanism and probed rare processes with unprecedented accuracy. CMS's $1 million portion supports doctoral grants via the CERN and Society Foundation, underscoring the impact of these results on fundamental physics. Searches for dark matter candidates using CMS data from Runs 2 and 3 have set stringent limits on mediators in simplified models, particularly through monojet events with large missing transverse energy (MET) and jets. For spin-1 vector mediators coupling quarks to dark matter particles, 95% confidence level exclusions extend up to mediator masses of 2.5 TeV for dark matter masses below 100 GeV, improving prior bounds by 20–30% with 139 fb^{-1} of Run 2 data. In 2025, reported the first observation of single production associated with a or (tW and tZ channels) using data at 13 TeV with an integrated of 138 fb^{-1}. The tW process was observed with a significance of 5.2σ (expected 4.8σ), and tZ with 4.1σ (expected 3.7σ), consistent with predictions. These rare electroweak processes, with cross sections of approximately 70 pb for tW and 0.2 pb for tZ, provide probes of couplings to vector bosons and constraints on new physics models involving flavor-changing neutral currents. In the top quark sector, CMS has constrained anomalous couplings via effective field theory interpretations of tt̄γ and tt̄Z production using 2024 analyses of up to 138 fb^{-1} at 13 TeV. Measurements of differential cross sections in tt̄ + γ events limit the top chromomagnetic to |κ_{tγ}| < 0.15 at 95% confidence level, while tt̄Z results bound the weak operator coefficient C_{tW} to |C_{tW}/Λ^2| < 0.02 TeV^{-2}, surpassing electroweak precision tests and revealing no deviations from predictions. These bounds, derived from b-tagged jet and final states, enhance sensitivity to new physics scales above 1 TeV and are combined with other top observables for model-independent EFT fits.

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