Parton-model calculation of a nonstandard decay process in isotropic modified Maxwell theory

Abstract

We have performed a calculation in the parton-model approximation of a nonstandard decay process in isotropic modified Maxwell theory coupled to standard Dirac theory, with a single Lorentz-violating parameter $\kappa$ in the photonic sector. Previous calculations of this process (vacuum Cherenkov radiation by a proton for the theory with $\kappa >0$) were performed for pointlike particles, and an upper bound on $\kappa$ at the $10^{-19}$ level was obtained from experimental data on ultra-high-energy cosmic rays. The parton-model results change the decay rate by about an order of magnitude but give the same upper bound on $\kappa$ because the threshold energy is unchanged. The previous point-particle calculation of photon decay into an electron-positron pair for the theory with $\kappa <0$ remains valid, and experimental results on cosmic gamma rays provide a lower bound on $\kappa$ at the $-10^{-15}$ level.

16 pages, v5: published version

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• (Gravitational) Vacuum Cherenkov Radiation
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Nonminimal planar electrodynamics modified by higher-derivative terms
• A new bound on Lorentz violation based on the absence of vacuum Cherenkov radiation in ultra-high energy air showers
• New Constraint for Isotropic Lorentz Violation from LHC Data
• Lorentz symmetry and high-energy neutrino astronomy