Hyperon production in quasielastic $\bar{\nu}_{\tau}-$nucleon scattering

TL;DR

This paper presents theoretical calculations of hyperon production cross sections and polarization in quasielastic antineutrino-tau scattering, analyzing uncertainties and comparing lepton flavor effects to explore lepton universality.

Contribution

It provides the first comparison of total cross sections for electron, muon, and tau production in this context, highlighting implications for lepton flavor universality.

Findings

Cross sections and polarization components calculated for tau hyperon production.

Uncertainties due to form factors and SU(3) symmetry breaking analyzed.

Comparison of lepton flavor effects on cross sections presented.

Abstract

The theoretical results for the total cross sections and polarization components of the $\tau^{+}$ lepton produced in the charged current induced $|\Delta S| = 1$ quasielastic $\bar\nu_\tau - N$ scattering leading to hyperons ($\Lambda, \Sigma$) have been presented assuming T invariance. The theoretical uncertainties arising due to the use of different vector, axial vector and pseudoscalar form factors as well as the effect of SU(3) symmetry breaking have been studied. We have also presented, for the first time, a comparison of the total cross sections for the production of $e,\mu,\tau$ leptons to facilitate the implications of lepton flavor universality~(LFU) in the $|\Delta S| = 1$ quasielastic reactions induced by the antineutrinos of all flavors i.e., $\nu_{l};~l=e,\mu,\tau$.