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

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

14 pages, 3 figures, 3 tables, 65 references, 1 appendix

References in corpus (8)

• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Laser-Assisted Pion Decay
• Laser effect on the final products of $Z$-boson decay
• Effective neutrino masses in KATRIN and future tritium beta-decay experiments
• Muon decay in a laser field
• Elastic electron-proton scattering in the presence of a circularly polarized laser field
• Muon decay in a linearly polarized laser field
• Leptonic Decays of the W-Boson in a Strong Electromagnetic Field

Cited by in corpus (4)

• New phenomena in laser-assisted leptonic decays of the negatively charged boson $W^{-}$
• Effect of electron spin polarization in laser-assisted electron-proton scattering
• Relativistic elastic scattering of a muon neutrino by an electron in an elliptically polarized laser field
• Laser-assisted scattering of a muon neutrino by an electron within the Electroweak theory