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

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Cited by in corpus (9)

• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• The Lorentz-violating real scalar field at thermal equilibrium
• Testing Lorentz-symmetry violation via electroweak decays
• Effects of Lorentz violation in the Bose-Einstein condensation
• Tree-level processes in very special relativity
• Effects of the CPT-even and Lorentz violation on the Bhabha scattering at finite temperature
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model