TL;DR
This paper calculates the Bhabha scattering cross section within $z=2$ Lifshitz QED, analyzing deviations from standard QED to understand the theory's parameters and implications.
Contribution
It introduces the computation of Bhabha scattering in $z=2$ Lifshitz QED, including classical solutions, propagators, and the impact of the theory's free parameter.
Findings
Derived the differential cross section for Bhabha scattering in Lifshitz QED.
Identified bounds on the theory's free parameter based on deviations from standard QED.
Analyzed photon exchange and pair annihilation contributions.
Abstract
In this paper we compute and discuss the differential cross section of the Bhabha scattering in the framework of the Lifshitz QED. We start by constructing the classical solutions for the fermionic fields, in particular the completeness relations, and also deriving the theory's propagators. Afterwards, we compute the photon exchange and pair annihilation contributions for the Bhabha's process, and upon the results we establish the magnitude of the theory's free parameter by looking for small deviations of the QED tree results.
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