Proton-antiproton annihilation into massive leptons

TL;DR

This paper extends calculations of polarization observables in proton-antiproton annihilation to include heavy leptons like the tau, analyzing polarization effects and cross sections with respect to kinematic variables.

Contribution

It introduces the first detailed analysis of polarization observables for heavy lepton production in proton-antiproton annihilation, including mass effects and polarization dependencies.

Findings

Derived expressions for unpolarized cross section and angular asymmetry.

Analyzed polarization observables with respect to kinematic variables.

Highlighted the impact of lepton mass on polarization effects.

Abstract

We extend previous calculations of polarization observables for the annihilation reaction $\bar p +p\to \ell^{-}+\ell^{+}$ to the case of heavy leptons, such as the $\tau$-lepton. We consider the case when the beam and/or the target are polarized, as well as the polarization of the outgoing leptons. We give the dependence of the unpolarized cross section, angular asymmetry, and various polarization observables on the relevant kinematical variables in the center of mass and in the laboratory system, with particular attention to the effect of the mass induced terms.