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

Asri, S. El; Mouslih, S.; Jakha, M.; Manaut, B.; Attaourti, Y.; Taj, S.; Benbrik, Rachid

doi:10.1103/physrevd.104.113001

Cited by 9 publications

(13 citation statements)

References 58 publications

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“…The authors of this work found that the distributions of a multi-photon energy transfer spectrum and the Differential Cross-Section are significantly changed when a strong laser field is present. Recently, we have also studied this process in the framework of Fermi theory, but in the presence of a circularly polarized laser field [34]. Our results show that the laser field has a significant effect on the DCS as well as on the process of photons exchange between the laser and scattering process.…”

Section: Introductionmentioning

confidence: 81%

“…In this case, the kinetic energy of the incoming electron and muon neutrino are taken as E kin e = 100 GeV and E kin ν = 10 GeV, respectively. According to figure 5, we notice that, at high energies, the DCS in the framework of the electroweak theory is the most dominant compared to that of the Fermi for different geometry parameters in both electroweak theory (equation ( 16)) and Fermi theory [34]. The kinetic energy of the incident muon neutrino is taken as E kin ν = 10 GeV .…”

Section: In the Absence Of The Laser Fieldmentioning

confidence: 99%

“…For more details and explanations about the sum-rule, see [34]. To investigate the effect of the laser parameters on the summed DCS of the scattering process (1), we have plotted in Figure 10 its variation as a function of the laser field strength for various frequencies which are ω = 0.117 eV (CO 2 laser), ω = 1.17 eV (Nd:YAG laser) and ω = 2 eV (He-Ne laser).…”

Section: In the Presence Of The Laser Fieldmentioning

confidence: 99%

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Laser-assisted scattering of a muon neutrino by an electron within the Electroweak theory

Asri¹,

Mouslih²,

Ouali³

et al. 2022

Preprint

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In accordance with the electroweak theory, we perform, in the first-Born approximation, a detailed analytical treatment of the differential cross-section (DCS) for the elastic scattering process e − +ν µ −→ e − + ν µ in both absence and presence of a circularly polarized laser field. This scattering process is examined by using Dirac-Volkov wave functions for charged particles within an external laser field. The theoretical results obtained for the differential cross-section without laser field are compared with other theoretical results within the framework of Fermi theory. These results revealed to us the most important points that contribute to the understanding of the electroweak theory role in solving the problem of unitarity violation of the differential cross-section in Fermi theory. The differential cross section is modified significantly by inserting the electrons into an electromagnetic field. In addition, the influence of the laser strength and its frequency on the photons exchange between the colliding system and the laser field are also included and discussed. These effects are heavily related to the order and argument of the ordinary Bessel functions introduced in the theoretical calculation.

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Section: Introductionmentioning

confidence: 81%

Section: In the Absence Of The Laser Fieldmentioning

confidence: 99%

Section: In the Presence Of The Laser Fieldmentioning

confidence: 99%

See 1 more Smart Citation

Laser-assisted scattering of a muon neutrino by an electron within the Electroweak theory

Asri¹,

Mouslih²,

Ouali³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The authors of this work found that the distributions of a multiphoton energy transfer spectrum and the differential crosssection are significantly changed when a strong laser field is present. Recently, we have also studied this process in the framework of Fermi theory, but in the presence of a circularly polarized laser field [34]. Our results show that the laser field has a significant effect on the DCS as well as on the process of photons exchange between the laser and scattering process.…”

Section: Introductionmentioning

confidence: 81%

Laser-assisted scattering of a muon neutrino by an electron within the framework of electroweak theory

Asri¹,

Mouslih²,

Ouali³

et al. 2022

Laser Phys.

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In accordance with the electroweak theory, we perform a detailed analytical treatment of the differential cross-section (DCS) for the elastic scattering process e − + ν μ ⟶ e − + ν μ in both absence and presence of a circularly polarized laser field. This scattering process is examined, in the first-Born approximation, by using Dirac–Volkov wave functions for charged particles within an external laser field. The theoretical results obtained for the differential cross-section without a laser field are compared with other theoretical results within the framework of Fermi theory. These results revealed to us the importance of using electroweak theory instead of Fermi approximation for studying high energy electroweak interactions. The differential cross section is modified significantly by inserting the electrons into an electromagnetic field. In addition, the influence of the laser strength and its frequency on the photons exchange between the colliding system and the laser field is also included and discussed. These effects are heavily related to the order and argument of the ordinary Bessel functions introduced in the theoretical calculation.

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“…The study of laser-assisted processes provides important information about behavior of particles and their properties. In this respect, a significant deal of theoretical works has been consecrated to the study of weak decay and scattering processes [8,9], and it is found that the circularly polarized laser field prolongs the particle's lifetime and enhances its modes decay. In the past few years, there has been particular interest in the study of the electron-positron interactions in the presence of an external field.…”

Section: Introductionmentioning

confidence: 99%

Laser-assisted doubly charged Higgs pair production in Higgs triplet model (HTM)

aali¹,

Ouali²,

Ouhammou³

et al. 2022

Preprint

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In the framework of Higgs triplet model (HTM), we study the pair production process of doubly charged Higgs bosons via e + e − annihilation in the presence of a laser field with circular polarization . We begin our work by presenting the theoretical calculation of the differential cross section in the centre of mass frame including both Z and γ diagrams. Then, from the numerical analysis of the production cross section's dependence on the laser field parameters, we have shown that the laser-assisted total cross section decreases as far as the electromagnetic field intensity enhances or by decreasing its frequency. Finally, we analyze the variation of the total cross section versus the mass of the doubly charged Higgs boson by fixing the laser field parameters and the centre of mass energy, and we have found that the order of magnitude of the cross section decreases as long as M H ±± increases.

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

Cited by 9 publications

References 58 publications

Laser-assisted scattering of a muon neutrino by an electron within the Electroweak theory

Laser-assisted scattering of a muon neutrino by an electron within the Electroweak theory

Laser-assisted scattering of a muon neutrino by an electron within the framework of electroweak theory

Laser-assisted doubly charged Higgs pair production in Higgs triplet model (HTM)

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