Production of $(\tau^+\tau^-)_b$ in electron positron collisions

TL;DR

This paper calculates the energy levels, decay widths, and production cross sections of tau lepton-antilepton bound states in electron-positron collisions, estimating their potential production rates at specific colliders.

Contribution

It provides the first detailed theoretical predictions for the properties and production rates of tauonium, a hydrogen-like tau lepton bound state, in electron-positron annihilation.

Findings

Estimated 886 tauonium atoms at BEPCII.

Estimated 29 tauonium atoms at VEPP-4M.

Calculated decay widths and energy levels of tauonium.

Abstract

$(\tau^+\tau^-)_b$ is an atom of simple hydrogenlike structure similar to positronium $(e^+e^-)_b$ and $(\mu^+\mu^-)_b$. In this paper energy levels and decay widths of different decay channels of $(\tau^+\tau^-)_b$ are given. Cross section of production of this atomic system in $e^+e^-$ annihilation taking into account radiative corrections is calculated. According to our estimates 886 $(\tau^+\tau^-)_b$ atoms may be produced at BEPCII and 29 $(\tau^+\tau^-)_b$ atoms are produced at VEPP-4M under the present experimental conditions.