Abstract
In this paper we discuss the Bhabha and Compton scattering for the quantum electrodynamics defined in the framework of very special relativity (VSR). The main aspect of the VSR setting is that it admits different types of interactions appearing in a nonlocal form due to the modified gauge invariance. We explore the richness of these new couplings in the evaluation of the differential cross-section for these tree-level processes. We assess the behavior of the leading VSR Lorentz violation modifications by considering some special limits for the Bhabha and Compton cross-section expressions.
Highlights
In the description of nature, our experimentally verified theories, such as the Standard Model (SM) of particles and general relativity, are fundamentally understood in terms of gauge invariance and spacetime symmetries
Any deviation from these symmetries is expected to signal manifestations of physics beyond the Standard Model, that are hoped to be revealed in high-energy experiments
Physical phenomena that are not adequately explained by the known theories, e.g., neutrino masses, matter-antimatter asymmetry, quantum gravity, etc. [4], can be suitably described by the addition of new degrees of freedom (d.o.f.), that are governed by a new symmetry principle
Summary
In the description of nature, our experimentally verified theories, such as the Standard Model (SM) of particles and general relativity, are fundamentally understood in terms of gauge invariance and spacetime symmetries. Since we have the presence of VSR nonlocal terms implying massive modes and new gauge invariant couplings, there are still further scattering processes involving electrons, such as Bhabha, Møller, and Compton, that could be investigated in this Lorentz violating framework in order to highlight the behavior of the VSR effects. In this sense, we believe that the present analysis will complement the study of phenomenological aspects of QED within the framework of VSR. IV, we summarize the results and present our final remarks
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