Relativistic elastic scattering of a muon neutrino by an electron in an elliptically polarized laser field

Within the framework of electroweak theory, we investigate the elastic scattering process \( e^{-} + \nu_{\mu} \rightarrow e^{-} + \nu_{\mu}\) in the presence of an intense elliptically polarized laser field. We derive an analytical expression for the spin-unpolarized differential cross section usin...

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Bibliographic Details
Published in:arXiv.org 2022-08
Main Authors: Chahri, R, S El Asri, Mouslih, S, Jakha, M, Manaut, B, Taj, S
Format: Article
Language:English
Subjects:
Born approximation
Circular polarization
Cross-sections
Elastic scattering
Electrons
Linear polarization
Neutrinos
Online Access:Get full text
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Summary:Within the framework of electroweak theory, we investigate the elastic scattering process \( e^{-} + \nu_{\mu} \rightarrow e^{-} + \nu_{\mu}\) in the presence of an intense elliptically polarized laser field. We derive an analytical expression for the spin-unpolarized differential cross section using the first Born approximation and the Dirac-Volkov states to describe the incident and scattered electrons. Our results generalize those found for the linearly polarized field by Bai \textit{et al.} [Phys. Rev. A \textbf{85}, 013402 (2012)] and for the circularly polarized field by El Asri \textit{et al.} [Phys. Rev. D \textbf{104}, 113001 (2021)]. We find that the differential cross section is significantly enhanced for linear polarization and reduced for circular and elliptical polarizations.
ISSN:2331-8422
DOI:10.48550/arxiv.2208.05048