Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering

Abstract

We propose a new \emph{CPT}-even and Lorentz-violating nonminimal coupling between fermions and Abelian gauge fields involving the CPT-even tensor $(K_F{)}_{\mu \nu \alpha \beta }$ of the standard model extension. We thus investigate its effects on the cross section of the electron-positron scattering by analyzing the process $e^{+}+e^{-}\to {\mu }^{+}+{\mu }^{-}$. Such a study was performed for the parity-odd and parity-even nonbirefringent components of the Lorentz-violating $(K_F{)}_{\mu \nu \alpha \beta }$ tensor. Finally, by using experimental data available in the literature, we have imposed upper bounds as tight as $10^{-12}(eV{)}^{-1}$ on the magnitude of the CPT-even and Lorentz-violating parameters while nonminimally coupled.

LaTeX2e, 06 pages, 01 figures

References in corpus (28)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Matter-gravity couplings and Lorentz violation
• Constraints on Torsion from Lorentz Violation
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• 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
• Addendum: Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Compton Scattering in the Presence of Lorentz and CPT Violation
• CPT and Lorentz violation effects in hydrogen-like atoms
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
• Lorentz violation bounds on Bhabha scattering
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
• On the superfield supersymmetric aether-like Lorentz-breaking models
• Optical-cavity tests of higher-order Lorentz violation
• Induced Chern-Simons-like action in Lorentz-violating massless QED
• Influence of Lorentz violation on Dirac quasinormal modes in the Schwarzschild black hole spacetime

Cited by in corpus (2)

• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• Lorentz-violating effects in three-dimensional $QED$