Fermion Scattering in a CPT-Even Lorentz Violation Quantum Electrodynamics

Frederico Santos,Manoel Ferreira

doi:10.3390/sym10080302

Abstract

In this work, we reassess two known processes of Quantum Electrodynamics involving electrons and muons. The photon propagator is modified by a CPT-even Lorentz-violating (LV) tensor, while fermion lines and the vertex interaction are not altered. Using the Feynman rules, the associated cross sections for unpolarized scatterings are evaluated, revealing the usual energy dependence and Lorentz-violating contributions that induce space anisotropy. A possible route to constraining the LV coefficients is presented and the results properly commented.

Highlights

Particle physics has received a lot of attention in the so-called LHC (Large Hadron Collider) era, in which several predictions of the standard model of elementary particles (SM) were confirmed, including the very significant detection of the Higgs particle
This is different to what is observed in similar scatterings considered in nonminimal electrodynamics [32,36], where the LV parameter appears multiplied by the center of mass energy, s, implying better upper bounds by this factor
We have considered the contributions of a modified quantum electrodynamics for two known scattering processes, e+ + e− → μ+ + μ− and e− + μ− → e− + μ+

Summary

Introduction

Particle physics has received a lot of attention in the so-called LHC (Large Hadron Collider) era, in which several predictions of the standard model of elementary particles (SM) were confirmed, including the very significant detection of the Higgs particle. A model in this direction is the standard model extension (SME) [1], which proposes the possibility of violating Lorentz symmetry by including fixed terms in all sectors of the original SM Lagrangian. Out of the broad framework of the SME, a nonminimal CPT-odd interaction between fermions and photons was proposed [23], with interesting consequences in the nonrelativistic limit of Dirac equation concerning topological effects and geometrical phases [24,25,26,27,28,29,30], Landau level [31] and on the high energy Bhabha cross section [32]. Using the Feynman rules, we evaluate the corrected cross section for two processes with electrons and muons, identifying the way Lorentz violation affects the results

Aspects of the Photonic SME Minimal Sector

Conclusions