Cerenkov-Like Emission of Pions by Photons in a Lorentz-Violating Theory

Abstract

In the presence of Lorentz violation, the Cerenkov-like process $\gamma \to \gamma +{\pi }^0$ may become allowed for sufficiently energetic photons. Photons above the threshold would lose energy rapidly through pion emission. The fact that propagating photons with energies of up to 80 TeV survive to be observed on Earth allows us to place a one-sided constraint on an isotropic Lorentz violating parameter at the $7\times 10^{-13}$ level; this is more than an order of magnitude better than best previous result.

9 pages, final version

References in corpus (8)

• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Lorentz-violating electrodynamics and the cosmic microwave background
• Direct Terrestrial Test of Lorentz Symmetry in Electrodynamics to 10${}^{-18}$
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
• Astrophysical Limits on Lorentz Violation for All Charged Species
• Bounds on Spin-Dependent Lorentz Violation From Inverse Compton Observations
• Astrophysical Limits on Lorentz Violation for Pions

Cited by in corpus (8)

• Signals for Lorentz violation in gravitational waves
• Vacuum Cherenkov radiation for Lorentz-violating fermions
• Hadronic Lorentz Violation in Chiral Perturbation Theory
• Gluonic Lorentz violation and chiral perturbation theory
• (Gravitational) Vacuum Cherenkov Radiation
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• New Constraint for Isotropic Lorentz Violation from LHC Data
• Lorentz symmetry and high-energy neutrino astronomy