Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics

TL;DR

This paper investigates how generalized electrodynamics, incorporating Podolsky's mass, affects electron-positron scattering calculations and uses experimental data to estimate bounds on this new parameter within a causal theoretical framework.

Contribution

It introduces a generalized electrodynamics approach to Bhabha scattering, showing Podolsky's mass as a natural cut-off and providing bounds based on experimental data.

Findings

Podolsky's mass acts as a natural cut-off parameter.

Derived a modified cross section expression for Bhabha scattering.

Estimated lower bounds for Podolsky's mass from experimental data.

Abstract

In this paper we study the generalized electrodynamics contribution for the electron-positron scattering process, $e^{-}e^{+}\rightarrow e^{-}e^{+}$, the Bhabha scattering. Within the framework of the standard model, for energies larger when compared to the electron mass, we calculate the cross section expression for the scattering process. This quantity is usually calculated in the framework of the Maxwell electrodynamics and, by phenomenological reasons, corrected by a cut-off parameter. On the other hand, by considering the generalized electrodynamics instead of Maxwell's, we can show that the effects played by the Podolsky mass is actually a natural cut-off parameter for this scattering process. Furthermore, by means of experimental data of Bhabha scattering we will estimate its lower bound value. Nevertheless, in order to have a mathematically well defined description of our study we shall present our discussion in the framework of the Epstein-Glaser causal theory.