Lorentz violation in simple QED processes

Abstract

We determine the effect of a CPT-even and Lorentz violating non-minimal coupling on the differential cross sections for some of the most important tree-level processes in QED, namely, Compton and Bhabha scatterings, as well as electron-positron annihilation. Experimental limits constraining the allowed deviation of the differential cross sections relative to pure QED allow us to place upper bounds on the Lorentz violating parameters. A constraint based on the decay rate of para-positronium is also obtained.

Final version, includind suggestions of the referee. Published in PRD

References in corpus (20)

• Data Tables for Lorentz and CPT Violation
• Modern tests of Lorentz invariance
• Electric dipole moments as probes of new physics
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Improved Measurement of the Hydrogen 1S - 2S Transition Frequency
• Precision Study of Positronium: Testing Bound State QED Theory
• Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
• Compton Scattering in the Presence of Lorentz and CPT Violation
• Lorentz violation bounds on Bhabha scattering
• He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• First Search for Lorentz and CPT Violation in Double Beta Decay with EXO-200
• Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments
• Electric Dipole Moments as Probes of CPT Invariance
• Probing Lorentz Violating (Stringy) Quantum Space-Time Foam
• Precision measurements of positronium decay rate and energy level
• On the Bhabha scattering for $z=2$ Lifshitz QED

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• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Elastic light-by-light scattering in a nonminimal Lorentz violation scenario
• Lorentz Violation, Gravitoelectromagnetic Field and Bhabha Scattering
• Experimental signatures of Kalb-Ramond-like particles
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• Lorentz-symmetry violation in the electroweak sector: scattering processes in future $e^{+}{e}^{-}$ colliders