On Lorentz violation in $e^{-}+e^{+}\to {\mu }^{-}+{\mu }^{+}$ scattering at finite temperature

Abstract

Small violation of Lorentz and CPT symmetries may emerge in models unifying gravity with other forces of nature. An extension of the standard model with all possible terms that violate Lorentz and CPT symmetries are included. Here a CPT-even non-minimal coupling term is added to the covariant derivative. This leads to a new interaction term that breaks the Lorentz symmetry. Our main objective is to calculate the cross section for the $e^{-}+e^{+}\to {\mu }^{-}+{\mu }^{+}$ scattering in order to investigate any violation of Lorentz and/or CPT symmetry at finite temperature. Thermo Field Dynamics formalism is used to consider finite temperature effects.

12 pages, 1 figure, accepted for publication in PLB

References in corpus (8)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• 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
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Lorentz violation bounds on Bhabha scattering
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering

Cited by in corpus (1)

• Tree-level processes in very special relativity