Exploring the impact of magnetic fields, Lorentz violation and EDM on $e^+ e^-\rightarrow l^+ l^-$ scattering

TL;DR

This paper examines how external magnetic fields, Lorentz symmetry violations, and lepton EDMs affect electron-positron annihilation into heavier leptons, providing theoretical insights and experimental constraints on new physics effects.

Contribution

It introduces a comprehensive analysis of magnetic, Lorentz-violating, and EDM effects on lepton pair production, including graphical illustrations and bounds from experimental data.

Findings

Magnetic fields influence the scattering cross section.

Lorentz violation parameters are constrained using EDM data.

Strong magnetic field effects are analytically characterized.

Abstract

This paper explores the annihilation process of an electron-positron pair into a heavier lepton-antilepton pair, taking into account the presence of an external classical magnetic field. Additionally, it investigates corrections arising from the breakdown of Lorentz symmetries and the existence of Electric Dipole Moments (EDM) for leptons. Graphics are constructed to illustrate the influence of EDM and Lorentz violation on the cross section. Strong magnetic field limit is analyzed. Furthermore, the investigation utilizes experimental data on EDM values to explore the upper limits of the Lorentz violation parameters.