Multiphoton processes in laser-assisted scattering of a muon neutrino by an electron

Abstract

We study the elastic scattering of a muon neutrino by an electron in the presence of a linearly polarized laser field in the frame of the standard model, and multiphoton processes are observed. The distributions of a multiphoton energy transfer (MPET) spectrum are greatly affected even by the laser fields in a moderate intensity range, while the total differential cross section can be largely changed by several orders of magnitude only in extreme strong laser fields with ultrarelativistic electrons. The method of stationary phase approximation is used for analyzing and elucidating the phenomena of cutoff, oscillation, and shift found in a MPET spectrum. We also analyze the reason giving rise to "dark windows" and geometric asymmetry initially noted in the potential scattering. By comparing the results we reach the conclusion that these effects are closely related to the order and arguments of generalized Bessel functions.

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

“…The results, which took into account the neutrino mass, proved that the effect of a nonzero neutrino mass is noticeable only in the case of very low field strengths and neutrino kinetic energies. However, this approach based on Fermi theory, although adopted here and in a previous work [27] for the same process, may not be practical in all situations, especially at high energies, due to the well-known limitations of Fermi theory. Therefore, the next stage of our research will be a study of this process within the framework of electroweak theory, in which the relevant scattering process is mediated only by the exchange of the neutral Z boson.…”

“…In our turn, we have decided to study, through this research paper, one of the most important scattering processes that have played an important role in the development of modern physics, namely the elastic scattering process of a muon neutrino by an electron (e − ν µ → e − ν µ ) in the presence of a circularly polarized electromagnetic field. Nine years ago, the same process has been studied, within the framework of Fermi's theory, in the presence of a linearly polarized laser field and the phenomena of multi photon absorption and emission are induced [27]; the authors found that the distributions of a multiphoton energy transfer (MPET) spectrum are largely affected by the laser even at moderate intensities, while the differential cross section (DCS) can be notably changed by several orders of magnitude only in superstrong fields with ultrarelativistic electrons. In general, the study of (anti)muon neutrino scattering on electrons has offered important results for understanding the electroweak sector of the Standard Model [28].…”

Mutual entropy of a single Cooper pair-box interacting with multi-photon field

“…The voltage difference, V , produced by the microwave across the junction may be written as [35], [38], [39] …”

Dynamical Properties of Multi-Photon Interaction Between a Cavity Field and a Single-Qubit

“…Furthermore, the multi-photon processes are observed in the study of the elastic scattering of a muon neutrino by an electron in the presence of a linearly polarized laser¯eld. 28 They reported that there are signi¯cant changes of the distributions of a multi-photon energy transfer spectrum by the laser¯eld in a moderate intensity range. On the other hand, the total di®erential cross section may be a®ected by several orders of magnitude only when a very strong laser¯eld is considered.…”