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Extragalactic background light

The extragalactic background light (EBL) is the diffuse, isotropic radiation field comprising the integrated emission from all unresolved extragalactic sources across cosmic history, spanning ultraviolet to far-infrared wavelengths (0.1–1000 μm) and originating primarily from star formation, galaxies, and active galactic nuclei, with subsequent modification by redshift and dust reprocessing.^[1]^[2] This cosmic glow, second in intensity only to the cosmic microwave background, encodes essential information about the universe's energy budget, structure formation, and evolution since recombination.^[2]^[3] The EBL spectrum exhibits two primary peaks: one near 1 μm from direct stellar and active galactic nuclei emission, and another at 100–200 μm from dust-reprocessed infrared radiation, with total integrated intensity estimated at 21–66 nW m⁻² sr⁻¹.^[1] Its measurement is challenging due to overwhelming foregrounds like zodiacal light and galactic cirrus, necessitating space-based observations to subtract these contaminants.^[2] Direct detection relies on telescopes such as COBE/DIRBE for infrared limits, Spitzer for mid-infrared constraints, and more recent missions like Herschel and JWST for resolved galaxy contributions that provide lower bounds via integrated galaxy light.^[1]^[4] Indirect probes, particularly valuable for the ultraviolet-to-optical regime, exploit the EBL's interaction with high-energy gamma rays from distant blazars, where pair-production absorption (γ-γ → e⁺e⁻) imprints energy-dependent opacity on spectra observed by telescopes like Fermi-LAT, MAGIC, H.E.S.S., and VERITAS.^[1]^[5] These methods have tightened EBL density limits, revealing consistency with standard galaxy evolution models while ruling out excessive contributions from exotic sources like primordial black holes or dark matter decay.^[2] Recent ground-based measurements, such as the cosmic optical background flux of 16.37 ± 1.47 nW m⁻² sr⁻¹ at 0.608 μm from New Horizons, further refine the spectrum and highlight ongoing discrepancies between direct and indirect approaches that continue to drive research.^[5]^[6] In cosmology, the EBL serves as a tracer of star formation history, supernova rates, and the intergalactic medium's role in light scattering, offering complementary insights to cosmic microwave background studies and aiding tests of dark energy models.^[2]^[3] Future observatories like the Cherenkov Telescope Array (CTA) and enhanced JWST surveys promise even stricter constraints, potentially resolving remaining tensions in EBL intensity and evolution with redshift.^[1]^[5]

Definition and Properties

Definition

The extragalactic background light (EBL) is the diffuse radiation field comprising all photons emitted by stars, galaxies, active galactic nuclei, and other extragalactic processes since the Big Bang, integrated over cosmic history and excluding contributions from the Milky Way Galaxy and local foregrounds such as zodiacal light.^[7]^[8] This integrated emission traces the buildup of cosmic structure through redshifted light from distant sources, providing a fossil record of star formation and galaxy evolution across the electromagnetic spectrum from ultraviolet to far-infrared wavelengths.^[9] Unlike the cosmic microwave background (CMB), which is the thermal relic radiation from the early universe at a temperature of approximately 2.725 K and follows a blackbody spectrum, the EBL is predominantly non-thermal and originates from discrete sources formed during the epoch of structure formation.^[8] The CMB represents the primordial photon field with the highest energy density in the universe, while the EBL captures the secondary, evolved radiation from baryonic processes like stellar nucleosynthesis.^[10] The concept of the EBL was first conceptualized in the 1960s, contemporaneous with the discovery of the CMB in 1965, as astronomers sought to understand the integrated light from unresolved distant galaxies.^[11] A seminal early prediction came from Partridge and Peebles (1967), who modeled the optical EBL as arising from young galaxies forming at high redshifts in the context of gravitational instability, estimating its detectability in the wavelength range from 0.5 to 15 micrometers.^[11] The EBL is typically quantified in units of spectral intensity, such as nanowatts per square meter per steradian (nW m⁻² sr⁻¹) for the monochromatic intensity νI_ν, or as energy density u(ν) in units of erg cm⁻³ Hz⁻¹ sr⁻¹, allowing comparisons across wavelengths and with foreground-subtracted observations.^[8]^[9]

Spectrum and Intensity

The extragalactic background light (EBL) spans a broad spectral range from ultraviolet (UV) to far-infrared wavelengths of approximately 0.1 to 1000 μm.^[12] Within this range, the EBL exhibits distinct peaks: one in the optical-near-IR at around 1 μm arising from direct stellar and active galactic nucleus (AGN) emission, and a more prominent peak in the far-infrared (far-IR) at 100–200 μm due to thermal re-emission by interstellar dust absorbing UV-optical light.^[12] ^[8] This far-IR dominance reflects the redistribution of energy from higher-energy stellar processes into longer wavelengths by dust grains throughout cosmic history.^[12] The total integrated intensity of the EBL across the optical-to-IR portion is estimated at 20–70 nW m⁻² sr⁻¹, significantly lower than the cosmic microwave background (CMB) intensity of 960 nW m⁻² sr⁻¹ but distinct in its non-thermal, extragalactic origin.^[8] ^[12] ^[1] More specifically, the cosmic optical background (COB) contributes approximately 16 ± 1.5 nW m⁻² sr⁻¹ at ∼0.6 μm from recent direct measurements, though indirect estimates suggest around 24 nW m⁻² sr⁻¹ near 1 μm, highlighting ongoing discrepancies between approaches.^[13] ^[14] The cosmic infrared background (CIB) adds roughly 27 ± 2 nW m⁻² sr⁻¹ peaking at ∼100 μm (as of 2025).^[15] These intensities encompass both resolved emission from detected galaxies and an unresolved fraction, which accounts for 20–50% of the total light, primarily from faint, undetected sources below current observational limits.^[16] ^[8] The EBL's energy density evolves with cosmic redshift, reflecting the buildup of light from star formation and galaxy evolution over time; for instance, the CIB intensity peaks at redshifts z ≈ 2–3, corresponding to the era of peak star formation activity.^[8] This evolution is captured theoretically through the spectral energy density, expressed as the integrated contribution from the luminosity function of sources:

I_\lambda(\lambda) = \int dz \int dL \, L_\lambda(z, L) \, \phi(L, z) / [4\pi (1+z)^3]

where I_\lambda(\lambda) is the specific intensity at observed wavelength \lambda, L_\lambda(z, L) is the luminosity at rest-frame wavelength \lambda(1+z) for luminosity L at redshift z, and \phi(L, z) is the luminosity function giving the comoving number density of sources.^[12] This formulation integrates the emitted light over cosmic volume, accounting for redshift dimming and cosmological expansion, providing a foundational framework for understanding the EBL's cumulative nature.^[12]

Origins and Sources

Stellar Contributions

The stellar contributions to the extragalactic background light (EBL) arise predominantly from emission in normal galaxies driven by star formation processes across cosmic history. These sources account for the bulk of the EBL, with models indicating that 70–90% of the total intensity originates from stellar emission, much of which is absorbed by interstellar dust and reprocessed into infrared wavelengths.^[17] This direct stellar output and dust-reemitted radiation form the primary component at optical to near-infrared wavelengths (0.1–5 μm), reflecting the integrated light from nucleosynthesis in galaxies.^[18] The evolution of these stellar contributions closely mirrors the cosmic star formation rate density (SFRD), which quantifies the rate of star formation per unit comoving volume. Observations and models show the SFRD rising from low values at z ≈ 0 (~0.01 M_⊙ yr⁻¹ Mpc⁻³) to a peak at z ≈ 1–2 of approximately 0.1 M_⊙ yr⁻¹ Mpc⁻³, before declining toward higher redshifts up to z ≈ 10, where it stabilizes at similar low levels. This peak corresponds to "cosmic noon," a period of intense star formation activity around 10 billion years ago, when the universe's stellar mass assembly was most rapid. The EBL thus serves as an integrated record of this history, with redshifted ultraviolet photons from early epochs contributing to longer-wavelength backgrounds. Recent James Webb Space Telescope (JWST) observations have confirmed a high abundance of galaxies at z ≃ 9–11, refining constraints on early stellar contributions to the EBL.^[19] Stellar populations play distinct roles in these contributions: Population I and II stars, formed in metal-enriched environments, dominate the overall EBL due to their prevalence in later cosmic epochs (z < 6). In contrast, Population III stars—massive, metal-poor stars from the first generation (z > 10)—provide only a minor fraction, limited by their short lifetimes and the small total mass locked in such systems, which models suggest is unlikely to significantly impact the observed EBL intensity. Models predict their contribution to the near-infrared EBL is less than 5 nW m⁻² sr⁻¹ at 2 μm from redshifted UV light.^[20] Ultraviolet light from young, massive stars in these populations is efficiently absorbed by dust grains in star-forming regions and re-emitted as thermal infrared radiation, shifting a substantial portion of the energy to mid- and far-infrared bands and shaping the EBL spectrum accordingly.^[18] To model the collective stellar emission from galaxies, astronomers employ the Schechter luminosity function, which parameterizes the distribution of galaxy luminosities as \phi(L) \propto (L/L_*)^\alpha \exp(-L/L_*), where L_* is a characteristic luminosity, \alpha describes the faint-end slope, and the exponential cutoff accounts for the scarcity of bright galaxies. Integrating this function over redshift and luminosity yields the expected EBL intensity from unresolved galaxy populations, providing a framework to link individual galaxy properties to the diffuse background.^[17]

Non-Stellar Contributions

Active galactic nuclei (AGN) and quasars represent key non-stellar sources of the extragalactic background light (EBL), primarily through accretion onto supermassive black holes, contributing an estimated 5–15% to the total EBL intensity across various wavelengths.^[17] In the mid-infrared regime, particularly around 24 μm, AGN power approximately 15% of the EBL, arising from dust re-emission in the torus surrounding the accreting black hole.^[1] These contributions are modeled by integrating the AGN luminosity function, which accounts for the evolution of accreting black hole populations over cosmic time.^[21] In the X-ray band, AGN dominate the cosmic X-ray background, resolving over 80% at energies of 2–9 keV, reflecting their role as primary emitters of high-energy radiation.^[18] Unlike the extended emission from stellar processes in galaxies, AGN and quasar contributions are predominantly point-like, making them challenging to resolve observationally, especially at high redshifts where cosmological dimming exacerbates detection limits. Recent JWST observations have identified potential AGN at z ≃ 9–11, providing new insights into their early contributions.^[19] During the epoch of reionization (z > 6), early AGN may supply a notable fraction of the ultraviolet EBL, potentially contributing up to 23% of the ionizing photon budget through their hard UV spectra.^[22] This input complements stellar sources but remains subdominant overall. Additional non-stellar processes include dust heating driven by AGN activity rather than star formation, which enhances mid- and far-infrared emission without direct stellar involvement. Hypothetical exotic sources, such as dark matter annihilation, offer speculative contributions below 1% to the EBL, primarily in gamma-rays, though current limits from Fermi-LAT observations constrain such signals tightly.^[23]

Observations and Measurements

Direct Measurements

Direct measurements of the extragalactic background light (EBL) rely on space-based photometry and imaging to capture the diffuse sky brightness, with careful subtraction of foreground contaminants to isolate the extragalactic component. Instruments such as the Diffuse Infrared Background Experiment (DIRBE) on the Cosmic Background Explorer (COBE), launched in 1989, provided all-sky surveys in ten bands from 1.25 to 240 μm during the 1990s, enabling absolute photometry of the infrared sky after foreground removal. Similarly, the Galaxy Evolution Explorer (GALEX), operational from 2003 to 2013, mapped the ultraviolet sky at 152 nm (far-UV) and 231 nm (near-UV), while the AKARI satellite (2006–2011) and Herschel Space Observatory (2009–2013) targeted far-infrared wavelengths beyond 100 μm with higher resolution to probe dust emission. Ground-based radio telescopes, complemented by balloon-borne experiments like ARCADE-2 in 2006, have measured the low-frequency end. These efforts focus on photon-counting detections of the isotropic extragalactic flux, distinct from integrated light from resolved sources. A primary challenge in direct EBL measurements is subtracting dominant foregrounds, particularly zodiacal light from scattered sunlight on interplanetary dust, which overwhelms the signal in optical and near-infrared bands by factors of 10–100. DIRBE exploited Earth's orbital modulation—annual variations in viewing geometry—to model and subtract zodiacal emission, achieving residuals below 10% in infrared bands. In the far-infrared, Galactic cirrus clouds from interstellar dust contribute structured emission that must be modeled using ancillary data like 100 μm maps from IRAS or Planck, often via correlation analysis or multi-band fitting. Ultraviolet measurements with GALEX face additional airglow and scattered light from the Galaxy, requiring high-latitude fields and statistical subtraction. Radio observations contend with synchrotron emission from the Milky Way and cosmic microwave background, addressed through absolute calibration against known sources. Key results from these instruments highlight the EBL spectrum peaking in the infrared. In the optical, a reanalysis of Pioneer 10 and 11 photometer data (1972–2003) yields a residual intensity of 7.9 ± 4.0 nW m⁻² sr⁻¹ at ~0.44 μm after zodiacal and Galactic subtraction, consistent with integrated starlight but subject to instrumental uncertainties. Recent New Horizons Long Range Reconnaissance Imager (LORRI) observations, using data acquired up to 2023 at heliocentric distances beyond 50 AU, provide refined measurements with minimized zodiacal contamination, reporting 16.37 ± 1.47 nW m⁻² sr⁻¹ at 0.608 μm.^[6] The far-infrared EBL, detected by COBE's Far Infrared Absolute Spectrophotometer (FIRAS), yields an integrated intensity of 30 ± 10 nW m⁻² sr⁻¹ from 140–500 μm, representing relic emission from dust-obscured star formation. At ultraviolet wavelengths, GALEX provides upper limits around 10–20 nW m⁻² sr⁻¹ near 150 nm, limited by unresolved sources and foregrounds. AKARI and Herschel confirm the far-infrared peak with measurements near 20–40 nW m⁻² sr⁻¹ at 100–200 μm, refining DIRBE results through better cirrus subtraction in confusion-limited fields. In the radio regime, ARCADE-2 detected an isotropic excess of approximately 0.001 nW m⁻² sr⁻¹ (in νI_ν units) at 3–90 GHz, exceeding expectations from known extragalactic sources by a factor of ~5–10, though its origin—possibly faint radio galaxies or new populations—remains debated. Recent James Webb Space Telescope (JWST) observations since 2022 have resolved faint galaxies down to magnitudes ~30 AB in deep fields, accounting for up to 80–90% of predicted EBL in near-infrared bands and tightening upper limits on the diffuse component to below 10 nW m⁻² sr⁻¹ at 1–5 μm.

Indirect Measurements

Indirect measurements of the extragalactic background light (EBL) infer its intensity and spectrum from secondary astrophysical effects, rather than direct detection, providing complementary constraints on unresolved components. One primary technique exploits the absorption of high-energy gamma rays from distant extragalactic sources through pair production with EBL photons, where a TeV gamma ray (γ) interacts with an EBL photon (γ_EBL) to produce an electron-positron pair via the process γ + γ_EBL → e⁺ + e⁻. This interaction attenuates the observed gamma-ray flux, with the degree of attenuation depending on the EBL density along the line of sight, allowing inversion to estimate EBL properties. The optical depth τ(ε, z) quantifies this attenuation for a gamma ray of observed energy ε from a source at redshift z, representing the expected number of pair-production interactions. It is derived by integrating the interaction probability along the photon path in an expanding universe: the differential probability dP of interaction in a comoving distance element dl is dP = n(ε') σ(ε, ε') dε' dl, where n(ε') is the proper number density of EBL photons at energy ε' and σ(ε, ε') is the pair-production cross section. The total τ is the integral of this probability, or -ln(transmission), yielding

\tau(\epsilon, z) = \int_0^z \frac{dz'}{H(z') (1 + z')} \int_0^\infty d\epsilon' \, n_{\rm EBL}(\epsilon', z') \, \bar{\sigma}(\epsilon (1+z'), \epsilon'),

where H(z') is the Hubble parameter at redshift z', and \bar{σ} accounts for averaging over the photon interaction angle (typically assuming isotropic EBL). The pair-production cross section σ(s), with center-of-momentum energy squared s = 2 ε ε' (1 - μ) (1 + z') / (m_e c^2)^2 and μ = cos θ the angle between photons, peaks near threshold s ≈ 2 (in units m_e c^2 = 1) and is given by the Breit-Wheeler formula:

\sigma(s) = \frac{3 \sigma_T}{16} (1 - \beta^2) \left[ (3 - \beta^4) \ln \left( \frac{1 + \beta}{1 - \beta} \right) - 2 \beta (2 - \beta^2) \right],

where β = \sqrt{1 - 2/s} for s > 2, and zero otherwise; the full angular-averaged form \bar{σ} integrates σ(s) over μ from -1 to 1. This formulation traces back to QED calculations adapted for astrophysical propagation.^[24] Observations of TeV blazars and gamma-ray bursts with ground-based Cherenkov telescopes have provided stringent limits on the infrared EBL using this method. Data from the H.E.S.S. and VERITAS collaborations in the 2000s–2020s, analyzing spectra from sources up to z ≈ 0.2–0.6, constrain the infrared EBL intensity to levels within 10–20% of semi-analytic models, ruling out higher densities that would imply excessive absorption. Similarly, Fermi-LAT analyses in the 2010s, leveraging GeV–TeV spectra from over 100 active galactic nuclei out to z > 1, yield upper limits on the infrared–optical EBL opacity consistent with models, with the EBL intensity constrained to less than 10% above predictions from galaxy evolution simulations. These results indicate minimal evolution in EBL beyond z ≈ 1 and support star-formation-driven origins.^[25]^[26]^[27]^[28] Another indirect approach measures anisotropies in the cosmic infrared background (CIB), the integrated far-infrared emission dominated by EBL at wavelengths 100–500 μm, to probe clustering of unresolved dusty star-forming galaxies. Fluctuation power spectra from Spitzer and Herschel observations reveal angular correlations in CIB maps after masking resolved sources, attributed to galaxy clustering at redshifts z ∼ 1, where luminous infrared galaxies contribute significantly to the unresolved flux. These measurements constrain the CIB shot noise and clustering bias, yielding EBL intensity limits in the mid- to far-infrared that align with gamma-ray opacity results, with power spectra indicating halo masses of 10^{12}–10^{13} M_⊙ for contributing galaxies.^[29]^[30] These indirect techniques offer advantages over direct measurements by mitigating foreground contamination from zodiacal light and circumventing detection limits for faint unresolved emission, thus effectively probing the diffuse EBL component integrated over cosmic history.^[31]

Theoretical Models

Empirical Models

Empirical models of the extragalactic background light (EBL) adopt data-driven parameterizations that integrate observations of resolved galaxies to estimate the diffuse radiation field across cosmic history. These approaches primarily rely on the backward evolution of luminosity functions, where present-day galaxy distributions in multi-wavelength surveys are extrapolated to higher redshifts with the assumption of minimal evolution in luminosity density following the peak of the cosmic star formation rate density at redshift z \approx 2. By fitting Schechter or similar functions to galaxy counts from ultraviolet to far-infrared wavelengths, the models construct the EBL spectrum and its redshift dependence without incorporating full hydrodynamic simulations of galaxy evolution.^[32]^[33] Prominent examples include the model developed by Franceschini et al. (2008), which spans the infrared-optical regime using data from deep surveys such as those conducted with Spitzer and ISO, deriving contributions from stellar and dust emission in normal galaxies and active galactic nuclei. Another influential model is that of Domínguez et al. (2011), based on galaxy counts and spectral energy distribution type fractions from the AEGIS survey, which quantifies the evolving roles of quiescent, star-forming, and active galaxies up to redshift z \approx 4. In these frameworks, the EBL intensity is often parameterized as I_\nu \propto \nu^\beta, with the spectral index \beta typically ranging from -1 in the optical to -2 in the mid-infrared, capturing the shift from direct stellar light to dust-reprocessed emission.^[32]^[33] These models successfully reproduce integrated intensities from direct measurements and galaxy count extrapolations within uncertainties of 20–50%, particularly in the optical-near-infrared bands, and serve as benchmarks for predicting gamma-ray opacity in the intergalactic medium through pair-production interactions.^[1] However, their reliance on resolved sources limits their ability to account for potential diffuse or intra-halo light, and they tend to underpredict the observed radio excess suggested by measurements like those from ARCADE-2.^[32]^[33]

Semi-Analytic Models

Semi-analytic models (SAMs) simulate the extragalactic background light (EBL) by integrating physical processes of galaxy formation and evolution within a hierarchical structure formation paradigm based on Lambda-CDM cosmology. These models, such as GALFORM and the Santa Cruz SAM, start from dark matter halo merger trees derived from N-body simulations and apply semi-analytic prescriptions for baryonic physics, including gas accretion, cooling, star formation, supernova feedback, and mergers. Stellar population synthesis is incorporated to generate spectral energy distributions (SEDs), often using libraries like those from Bruzual & Charlot (2003), which model the evolution of starlight from young populations to old stellar systems across ultraviolet to infrared wavelengths. Dust physics is handled through attenuation of ultraviolet-optical light and re-emission in the infrared, typically via radiative transfer codes such as GRASIL in GALFORM.^[34]^[35]^[36] These frameworks enable forward predictions of the EBL by evolving the cosmic star formation rate density (SFRD) over cosmic time, capturing how stellar emission is processed by interstellar dust and active galactic nuclei (AGN). For example, the GALFORM model, calibrated to reproduce observed galaxy properties like luminosity functions and colors, forecasts the infrared EBL peaking at around 100 μm due to dust-reprocessed starlight, aligning closely with constraints from Herschel number counts at far-infrared wavelengths. Similarly, the Santa Cruz SAM incorporates AGN feedback to suppress excessive star formation in massive halos, yielding integrated EBL intensities that match mid- to far-infrared observations while accounting for ~90% of the total EBL arising from z < 2 activity in the infrared bands.^[36] Central to SAMs are treatments of dust reprocessing via radiative transfer, which redistribute absorbed ultraviolet photons into the infrared spectrum, and the inclusion of AGN feedback mechanisms that heat gas and quench star formation, influencing the EBL's redshift evolution. Models extend to high redshifts up to z ≈ 20, predicting a nascent ultraviolet EBL component from the first stars and galaxies during cosmic reionization, with minimal infrared contribution at these epochs due to limited metal enrichment. Prior to James Webb Space Telescope (JWST) data, SAM predictions often overpredicted the ultraviolet EBL by a factor of several at z > 2 compared to integrated luminosity functions, attributed to assumptions about faint galaxy contributions; subsequent refinements using updated SFRD observations from surveys like JWST have reduced these discrepancies. Recent JWST observations (as of 2025) reveal an abundance of luminous galaxies at z ≃ 9–14, prompting further updates to SAMs to account for enhanced early star formation, which may increase predicted UV EBL levels and better align with high-z constraints.^[34]^[36]^[37]^[38]

Implications and Applications

Galaxy Formation and Evolution

The extragalactic background light (EBL) integrates the cumulative emission from stars across cosmic history, providing a direct constraint on the total stellar mass density in the universe. Models and measurements of the EBL, particularly in the optical and infrared bands, imply a cosmic stellar mass density of approximately $6 \times 10^8 \, M_\odot \, \mathrm{Mpc}^{-3}, accounting for the fraction of baryons locked in long-lived stellar remnants after accounting for recycling through stellar evolution. This value represents a lower limit derived from the observed EBL intensity, assuming minimal contributions from exotic sources, and aligns with the integrated light from resolved galaxies. However, when compared to direct estimates of the star formation rate density (SFRD) from galaxy surveys, particularly at redshifts z > 8, notable tensions emerge; the observed EBL requires a higher integrated SFRD than previously inferred from pre-JWST data, pointing to bursty episodes of star formation rather than smooth, continuous processes in early galaxies.^[39]^[40] A key application of EBL studies lies in constraining cosmic reionization, the epoch when ultraviolet photons from the first luminous sources ionized the neutral intergalactic medium (IGM). The UV component of the EBL, dominated by massive stars in young galaxies and active galactic nuclei (AGN), supplied the necessary ionizing photons during reionization at z \sim 6--$10. This process is characterized by the Thomson [scattering](/page/Thomson_scattering) [optical depth](/page/Optical_depth) \tau_e \sim 0.05

--&#36;0.09

, as measured from the cosmic microwave background polarization by the Planck satellite, which quantifies the cumulative ionized fraction along the line of sight. EBL models incorporating these sources reproduce the observed \tau_e only if the escape fraction of ionizing photons from early galaxies is modest (\sim 10--$20\%) and AGN contribute significantly at z > 7$, highlighting the interplay between galaxy assembly and IGM evolution. The EBL also illuminates major milestones in galaxy formation and evolution, such as the peak of cosmic star formation at z \sim 2, when the SFRD reached its maximum of \sim 0.1 \, M_\odot \, \mathrm{yr}^{-1} \, \mathrm{Mpc}^{-3}, driving much of the optical EBL through efficient dust-reprocessed stellar light. Galaxy mergers played a pivotal role during this era and earlier, facilitating the rapid assembly of massive ellipticals by funneling gas inflows that triggered starbursts and built up the bulk of their old stellar populations, which dominate the present-day optical EBL. These hierarchical mergers, observed in simulations and deep surveys, explain the color and intensity of the EBL in the optical near-infrared range without requiring excessive dust obscuration. Recent James Webb Space Telescope (JWST) observations from 2022--2025 have uncovered a higher SFRD at z > 8 than prior estimates, with stellar mass densities approaching $10^6 \, M_\odot \, \mathrm{Mpc}^{-3} in massive systems, thereby reducing longstanding deficits between predicted and observed EBL levels from high-redshift contributions.^[41]^[42]

High-Energy Astrophysics

The extragalactic background light (EBL) serves as a primary source of opacity for very high-energy (VHE) gamma rays propagating through the universe, primarily through the process of electron-positron pair production. In this mechanism, a VHE gamma ray with energy E_\gamma interacts with a lower-energy EBL photon of energy \epsilon, producing an electron-positron pair when the center-of-momentum energy exceeds the threshold of $2m_e c^2 \approx 1.022 MeV, following the reaction \gamma + \gamma_{\text{EBL}} \to e^+ + e^-. This interaction is most efficient when E_\gamma \epsilon (1 - \cos\theta) \approx (m_e c^2)^2, where \theta is the angle between the photons, leading to significant attenuation for TeV-scale gamma rays over extragalactic distances. For instance, 1 TeV photons face an absorption horizon where the optical depth \tau \approx 1 at approximately 100 Mpc, beyond which their flux is substantially suppressed.^[12]^[43] This EBL-induced absorption has key applications in high-energy astrophysics, particularly for studying blazars, which are active galactic nuclei with relativistic jets pointed toward Earth. By modeling the observed VHE spectra of blazars and correcting for EBL opacity, astronomers can infer intrinsic emission properties and constrain source redshifts when direct distance measurements are unavailable. Combined analyses of Fermi Large Area Telescope (Fermi-LAT) GeV spectra and Imaging Atmospheric Cherenkov Telescope (IACT) TeV data, such as those anticipated from the Cherenkov Telescope Array (CTA), enable precise de-absorption to reveal underlying spectral features like cutoffs or breaks in blazar emission. Additionally, the energy-dependent nature of EBL opacity provides a probe for Lorentz invariance violation (LIV), where quantum gravity effects could alter the dispersion relation of photons, leading to modified pair-production thresholds and anomalous opacity at high energies; current observations show no significant deviations from standard LIV-free predictions.^[44]^[45]^[46] Key observational results from the 2010s, particularly from the High Energy Stereoscopic System (H.E.S.S.), have used blazar spectra to confirm EBL intensity levels consistent with galaxy evolution models. For example, reanalyses of high-quality VHE spectra from multiple blazars extracted the EBL absorption signature, yielding measurements of the EBL spectral energy distribution that align with direct and indirect determinations, without requiring exotic physics beyond the standard model. These studies found no evidence for LIV or other non-standard effects in the observed energy-dependent attenuation. Looking ahead, the CTA, operational in the 2020s–2030s, is expected to achieve \sim 10\% precision in EBL opacity measurements up to redshift z \approx 0.5 through large blazar samples, enhancing constraints on fundamental physics. Furthermore, accurate EBL modeling from CTA will refine interpretations of extragalactic gamma-ray signals in dark matter indirect detection searches, where absorption affects the propagation of annihilation or decay products from cosmic structures.^[24]^[47]^[48]

References

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[21]
[PDF] arXiv:0802.0129v1 [astro-ph] 1 Feb 2008
Feb 1, 2008 · If the optical depth τ(E,z) from the EBL attenuation is known for an energy E and red- shift z, the intrinsic spectrum Fint(E) can be calcu- ...Missing: equation | Show results with:equation
[22]
New constraints on the Mid-IR EBL from the HESS discovery of VHE ...
Sep 28, 2007 · Abstract page for arXiv paper 0709.4584: New constraints on the Mid-IR EBL from the HESS discovery of VHE gamma rays from 1ES 0229+200.Missing: VERITAS | Show results with:VERITAS
[23]
EBL constraints with VERITAS gamma-ray observations - NASA/ADS
The extragalactic background light (EBL) contains all the radiation emitted by nuclear and accretion processes since the epoch of recombination.Missing: HESS TeV
[24]
FERMI LARGE AREA TELESCOPE CONSTRAINTS ON THE ...
We investigate the effect of γ-ray flux attenuation by the EBL. We place upper limits on the γ-ray opacity of the universe at various energies and redshifts.
[25]
Updated Fermi-LAT Constraints on the Extragalactic Background Light
Nov 29, 2017 · The Fermi-LAT instrument, with its long exposure of the extragalactic sky, holds an extensive sample of AGN extending out to large redshifts (z ...
[26]
HerMES: COSMIC INFRARED BACKGROUND ANISOTROPIES ...
We present measurements of the auto- and cross-frequency power spectra of the cosmic infrared background (CIB) at 250, 350, and 500 μm (1200, 860, and 600 GHz) ...
[27]
[1208.5049] HerMES: Cosmic Infrared Background Anisotropies and ...
Aug 24, 2012 · We present measurements of the auto- and cross-frequency power spectra of the cosmic infrared background (CIB) at 250, 350, and 500um (1200, 860 ...Missing: Spitzer | Show results with:Spitzer
[28]
Very high-energy constraints on the infrared extragalactic ...
The present paper aims to assess the possibility of evaluating the IR EBL from a few micrometers up to the peak of the emission at > 100 μm using an indirect ...
[29]
[0805.1841] The extragalactic optical-infrared background radiations ...
We have modelled the extragalactic optical and IR backgrounds using available information on cosmic sources in the universe from far-UV to sub-mm wavelengths.Missing: et | Show results with:et
[30]
Extragalactic Background Light Inferred from AEGIS Galaxy SED ...
Jul 8, 2010 · Abstract:The extragalactic background light (EBL) is of fundamental importance both for understanding the entire process of galaxy evolution ...
[31]
[1104.0671] Semi-analytic modeling of the EBL and consequences ...
Apr 4, 2011 · We present results from our latest semi-analytic models (SAMs), which employ the main ingredients thought to be important to galaxy formation and evolution.
[32]
Stellar population synthesis at the resolution of 2003
### Confirmation
[33]
Semi-analytic modelling of the extragalactic background light and ...
We present results from our latest semi-analytic models (SAMs), which employ the main ingredients thought to be important to galaxy formation and evolution.
[34]
Faint Galaxies, Extragalactic Background Light, and the ...
... stellar mass density that produced the integrated light observed today. The ... The optical/FIR background therefore requires that about 10% of the ...
[35]
Modeling the Extragalactic Background Light and the Cosmic Star ...
Oct 3, 2022 · We present an updated model for the extragalactic background light (EBL) from stars and dust, over wavelengths approximately 0.1 to 1000 \mum.
[36]
Cosmic Star Formation History - Piero Madau & Mark Dickinson
(2008) is (6.0 ± 1.0) × 108 M⊙ Mpc-3 (scaled up from a Chabrier to a Salpeter IMF), in excellent agreement with ρ∗ = 5.8 × 108 M⊙ Mpc-3 predicted by our model ...
[37]
High-redshift Galaxies from Early JWST Observations - IOP Science
Oct 12, 2022 · Early observations with JWST have led to the discovery of an unexpectedly large density (stellar-mass density ρ* ≈ 106 M⊙ Mpc−3) of massive ...
[38]
Fermi-LAT high-z active galactic nuclei and the extragalactic ...
One of the main scientific objectives of the Fermi-LAT instrument was to measure the effect of the EBL attenuation of high-energy gamma-rays. In Ackermann ...
[39]
[PDF] Constraints on redshifts of blazars from extragalactic background ...
Nov 13, 2023 · We then rerun the LAT spectral analysis with these values fixed as the intrinsic spectrum. The resultant redshift distributions are consistent ...
[40]
On the detectability of Lorentz invariance violation through ...
The sign assumed above is one where an interesting anomaly (i.e. decreasing opacity for increasing en- ergy) is displayed for every value of ELIV. The ELIV term ...
[41]
Measurement of the EBL spectral energy distribution using the VHE ...
Other EBL constraints and measurements using γ rays have been conducted as well, for example with Fermi LAT, MAGIC, and VERITAS (Ackermann et al. 2012 ...
[42]
[PDF] PoS(ICRC2017)623 - Proceeding of science
The future Cherenkov Telescope Array (CTA), with its unprecedented γ- ray ... the EBL opacity at the ±10 % level in the redshift range [0 ; 0.5] ...<|separator|>
[43]
[PDF] Dark matter indirect detection in γ-rays
Jun 19, 2018 · DM masses, the choice of EBL absorption model, halo dark matter ... Implications of high-resolution simulations on indirect dark matter searches.