Elastic scattering of a muon neutrino by an electron in the presence of a circularly polarized laser field

TL;DR

This paper investigates how a circularly polarized laser field influences the elastic scattering of muon neutrinos by electrons, providing analytical expressions for the differential cross section and analyzing the effects of field parameters.

Contribution

It presents an analytical derivation of the differential cross section for neutrino-electron scattering in a laser field, including effects of neutrino mass and electromagnetic field parameters.

Findings

Laser field strength and frequency affect photon exchange and scattering cross section.

Massive neutrino effects modify the scattering process.

Analytical expressions enable better understanding of neutrino interactions in electromagnetic environments.

Abstract

In view of the great contribution of neutrino-electron scattering to the deep understanding of electroweak interactions, we focus in this paper on the study of elastic scattering of a muon neutrino by an electron $(e^{-}\nu_{\mu}\rightarrow e^{-}\nu_{\mu})$ in the presence of a circularly polarized electromagnetic field. We perform our theoretical calculation within the framework of Fermi theory using the exact wave functions of charged particles in an electromagnetic field. The expression of the differential cross section (DCS) for this process is obtained analytically in the absence and presence of the laser field. The effect of the field strength and frequency on the exchange of photons as well as on the DCS is presented and analyzed. Massive neutrino effects are also included and discussed. This study, added to the previous ones, will significantly enrich our knowledge in fundamental physics.