Photon splitting constraint on Lorentz Invariance Violation from Crab Nebula spectrum

Abstract

We calculate the decay width of the photon splitting into three photons in a model of quantum electrodynamics with broken Lorentz invariance. We show that this process can lead to a cut-off in the very-high-energy part of a photon spectra of astrophysical sources. We obtain the 95\% CL bound on the Lorentz violating mass scale for photons from the analysis of the very-high-energy part of the Crab Nebula spectrum, obtained by HEGRA. This bound improves previous constraints by more than an order of magnitude.

arXiv comment15 pages, 2 figures

References in corpus (47)

• Quantum Gravity at a Lifshitz Point
• Lorentz-Violating Extension of the Standard Model
• New Developments in FeynCalc 9.0
• Limits and Confidence Intervals in the Presence of Nuisance Parameters
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Ultraviolet modifications of dispersion relations in effective field theory
• Tests of Lorentz invariance: a 2013 update
• Cosmic Ray and Neutrino Tests of Special Relativity
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• The Crab Nebula and Pulsar between 500 GeV and 80 TeV: Observations with the HEGRA stereoscopic air Cherenkov telescopes
• Limits to Quantum Gravity Effects from Observations of TeV Flares in Active Galaxies
• Threshold effects and Planck scale Lorentz violation: combined constraints from high energy astrophysics
• Monte Carlo design studies for the Cherenkov Telescope Array
• Invariance Violation Extends the Cosmic Ray Horizon ?
• Constraints on Lorentz Invariance Violation from Fermi-Large Area Telescope Observations of Gamma-Ray Bursts
• Cross Sections and Lorentz Violation
• New Tests of Lorentz Invariance Following from Observations of the Highest Energy Cosmic Gamma Rays
• The extragalactic background light, the Hubble constant, and anomalies: conclusions from 20 years of TeV gamma-ray observations
• Lorentz-violating electrodynamics and the cosmic microwave background
• The Crab Nebula as a standard candle in very high-energy astrophysics
• Lorentz Violation for Photons and Ultra-High Energy Cosmic Rays
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Photon decay in a CPT-violating extension of quantum electrodynamics
• Gauge field theories with Lorentz-violating operators of arbitrary dimension
• Cosmogenic photon and neutrino fluxes in the Auger era
• GZK Photons as Ultra High Energy Cosmic Rays
• Lorentz Violation and Ultrahigh-Energy Photons
• Constraints on the diffuse photon flux with energies above $10^{18}$ eV using the surface detector of the Telescope Array experiment
• Inspecting absorption in the spectra of extra-galactic gamma-ray sources for insight into Lorentz invariance violation
• The 2014 TeV Gamma-ray Flare of Mrk 501 Seen with H.E.S.S.: Temporal and Spectral Constraints on Lorentz Invariance Violation
• Reanalysis of the high energy cutoff of the 1997 Mkn 501 TeV energy spectrum
• Space-Time Foam may Violate the Principle of Equivalence
• GZK photon constraints on Planck scale Lorentz violation in QED
• Improved limits on Lorentz invariance violation from astrophysical gamma-ray sources
• Scale hierarchy in Horava-Lifshitz gravity: a strong constraint from synchrotron radiation in the Crab nebula
• On the detectability of Lorentz invariance violation through anomalous multi-TeV $\gamma$-ray spectra of blazars
• Constraints on violation of Lorentz invariance from atmospheric showers initiated by multi-TeV photons
• Restrictions from Lorentz invariance violation on cosmic ray propagation
• Constraints on Lorentz Invariance Violating Quantum Gravity and Large Extra Dimensions Models using High Energy Gamma Ray Observations
• String Quantum Gravity, Lorentz-Invariance Violation and Gamma-Ray Astronomy
• On calculation of cross sections in Lorentz violating theories
• Limits on the Lorentz Invariance Violation from UHECR astrophysics
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Report of the Working Group on the Composition of Ultra High Energy Cosmic Rays
• On photon splitting in theories with Lorentz invariance violation
• Lorentz Invariance Violation and the QED Formation Length
• Search for Ultra-High Energy Photons with the Pierre Auger Observatory

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• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Constraints on Lorentz invariance violation from the LHAASO observation of GRB 221009A
• Strong constraints on Lorentz violation using new $\gamma$-ray observations around PeV
• Expected Signature For the Lorentz Invariance Violation Effects on $\gamma -\gamma$ Absorption
• Tests of Lorentz Invariance
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Two-sided constraints on Lorentz Invariance violation from Tibet-AS$\gamma$ and LHAASO Very-High-Energy photon observations
• Simulating Electromagnetic Cascades with Lorentz Invariance Violation
• Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect
• The implications of gamma-ray photons from LHAASO on Lorentz symmetry