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 parapositronium is also obtained.

Testing Lorentz-symmetry violation via electroweak decays

“…One way to introduce LSV is by means of a non-minimal coupling, i.e., a modification to the minimal derivative through the inclusion of a term containing the field-strength tensor. This approach has been implemented in many different contexts, predominantly in connection with QED [24][25][26][27][28][29][30][31].…”

Tree-level processes in very special relativity

“…Scattering of standard model particles is an important scenario where deviations from standard physics can be widely explored, providing a ground and rich framework for testing many theoretical proposals in QFT. Furthermore, Bhabha scattering, e − + e + → e − + e + , and Compton scattering, e − + γ → e − + γ, are the most fundamental reactions in QED processes, so that its precision data have been used to obtain bounds in the context of Lorentz violating models [18,[20][21][22][23]].…”

“…In this sense, we believe that the present analysis will complement the study of phenomenological aspects of QED within the framework of VSR. Recently, many works have discussed electron scattering processes in order to elucidate the physical aspects of different Lorentz violating scenarios [18][19][20][21][22][23][24][25]. Hence, the main purpose of the present work is the discussion and evaluation of the cross section for the Bhabha and Compton scattering processes defined in the VSR quantum electrodynamics.…”

A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

“…Possible effects of Lorentz symmetry violation have been investigated in many contexts, for example, the Casimir effect [8][9][10][11], QED [12][13][14][15][16], hydrogen atom [17,18], noncommutative field theories [19][20][21], space-times with a non-trivial topology [22], gravity theory [23][24][25][26][27][28], electromagnetic wave propagation [29][30][31][32], studies of photon field quantization [33][34][35], effects on the classical electrodynamics [36][37][38][39][40][41], among others.…”