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 $({e}^{\ensuremath{-}}{\ensuremath{\nu}}_{\ensuremath{\mu}}\ensuremath{\rightarrow}{e}^{\ensuremath{-}}{\ensuremath{\nu}}_{\ensuremath{\mu}})$ 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.
Highlights
In particle physics, the scattering experiments are the most effective research tools that allow us to study the interactions between particles and probe the structure of matter
This section will be devoted to the presentation and discussion of numerical results related to the differential cross section (DCS) of the electron and muon-neutrino elastic scattering process (1) in the absence and presence of the electromagnetic field
Considering the effects of relativity and spin, we choose the kinetic energy of the incoming electron as Ekein 1⁄4 106 eV, and that of muon neutrinos varies in the range between 0.1 and 1015 eV depending on their sources [49]
Summary
The scattering experiments are the most effective research tools that allow us to study the interactions between particles and probe the structure of matter. From Rutherford’s gold-foil experiment [1] revealing the atomic nucleus to the discovery of the Higgs boson at the Large Hadron Collider [2], the observation and interpretation of quantum scattering processes have been pivotal to the advancement of particle physics. Laser-assisted or -induced scattering processes are types of scattering processes that have received considerable attention since the invention of the laser in the 1960s until the recent development of high-power optical lasers [3,4,5]. Strickland and Mourou were jointly awarded the 2018 Nobel Prize in Physics for inventing the use of chirped pulse amplification as a means to generate high-intensity and ultrashort optical pulses [6,7].
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