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

R. Chahri; S. El Asri; S. Mouslih; M. Jakha; B. Manaut; S. Taj

doi:10.1016/j.physletb.2022.137620

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arXiv · 2208.05048

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

R. Chahri·S. El Asri·S. Mouslih·M. Jakha·B. Manaut·S. Taj

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Abstract

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.

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R. Chahri, S. El Asri, S. Mouslih, M. Jakha, B. Manaut, S. Taj. 2022-08-09. Relativistic elastic scattering of a muon neutrino by an electron in an elliptically polarized laser field. https://doi.org/10.1016/j.physletb.2022.137620

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