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 $(e^{-}{\nu }_{\mu }\to e^{-}{\nu }_{\mu })$ 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.

中文翻译：

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在圆偏振激光场存在下电子对 μ 中微子的弹性散射

鉴于中微子-电子散射对深入理解电弱相互作用的巨大贡献，本文重点研究电子对μ中微子的弹性散射。 $({\mathrm{电子}}^{-}{\nu }_{\mu }\to {\mathrm{电子}}^{-}{\nu }_{\mu })$在存在圆极化电磁场的情况下。我们在费米理论的框架内使用电磁场中带电粒子的精确波函数进行理论计算。该过程的微分横截面 (DCS) 表达式是在激光场不存在和存在的情况下通过分析获得的。介绍并分析了场强和频率对光子交换以及 DCS 的影响。还包括和讨论了巨大的中微子效应。这项研究与之前的研究相结合，将极大地丰富我们在基础物理学方面的知识。