Measurement of Branching Fractions in Tau Decays

TL;DR

This paper presents a precise measurement of tau lepton decay branching fractions using extensive LEP-I data, with improved analysis techniques and systematic studies, providing insights into weak current universality and isospin invariance.

Contribution

It introduces improved methods for measuring tau decay branching fractions, including better photon and $$ handling, and applies corrections for exclusive final states, enhancing the accuracy of previous results.

Findings

Branching fractions for leptonic and hadronic tau decays are measured.

Results support universality in the leptonic charged weak current.

Evidence for isospin invariance in $a_1$ decays.

Abstract

Full LEP-I data collected by the ALEPH detector during 1991-1995 running are analyzed in order to measure the $\tau$ decay branching fractions. The analysis follows the global method used in the published study based on 1991-1993 data, with several improvements, especially concerning the treatment of photons and $\pi^0$'s. Extensive systematic studies are performed, in order to match the large statistics of the data sample corresponding to 327148 measured and identified $\tau$ decays. Preliminary values for the branching fractions are obtained for the 2 leptonic channels and 11 hadronic channels defined by their respective numbers of charged particles and $\pi^0$'s. Using previously published ALEPH results on final states with charged and neutral kaons, corrections are applied so that branching ratios for exclusive final states without kaons are derived. Some physics implications of the results are given, in particular concerning universality in the leptonic charged weak current, isospin invariance in $a_1$ decays, and the separation of vector and axial-vector components of the total hadronic rate.