Electroweak one-loop corrections to the process of fermion pair production in electron-positron annihilation

Authors

  • Uladzimir U. Khasianevich Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
  • Tatiana V. Shishkina Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

Keywords:

electroweak interaction, electron-positron beams, longitudinal polarization, one-loop corrections, bremsstrahlung

Abstract

Numerical results for the total cross section, polarization asymmetry, as well as forward-backward asymmetry are presented. Calculations were carried out for longitudinal polarization of the initial electron-positron beams, as well as for the unpolarized case in the one-loop approximation for the standard electroweak Glashow – Weinberg – Salam model  without considering quark fields. As a renormalization scheme, we used a non-minimal on-shell scheme with simultaneous renorma lization of the fields. In addition to considering the radiation of soft photons, numerical analysis of hard  bremsstrahlung was performed. Analysis of the effect of the cut-off parameters of the phase region of the three-particle  final state was made, which are the acollinearity angle between the final leptons, the detecting threshold energies of the  final particles, and the radiation energy of the soft photons. An algorithm for obtaining ultraviolet convergent expressions is described. The calculations were carried out in the formalism of the Passarino – Veltman functions in the light-lepton  approximation.

Author Biographies

  • Uladzimir U. Khasianevich, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    junior researcher at the research laboratory of scientific instrumentation, faculty of physics

  • Tatiana V. Shishkina, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    doctor of science (physics and mathematics), full professor; professor at the department of theoretical physics and astrophysics, faculty of physics

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Published

2019-10-03

Issue

No. 3 (2019): Journal of the Belarusian State University. Physics

Section

Atomic Nucleus and Elementary Particle Physics

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How to Cite

(1)
Khasianevich, U. U.; Shishkina, T. V. . Electroweak One-Loop Corrections to the Process of Fermion Pair Production in Electron-Positron Annihilation. Журнал Белорусского государственного университета. Физика 2019, No. 3, 31-40. https://doi.org/10.33581/2520-2243-2019-3-31-40.
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