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

Abstract

Within the framework of electroweak theory, we investigate the elastic scattering process $e^{-}+{\nu }_{\mu }\to e^{-}+{\nu }_{\mu }$ 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.

14 pages, 10 figures, 1 Appendix

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