CVC and \tau \rightarrow \eta(\eta^\prime)\pi^{-}\pi^{0}\nu_{\tau}

TL;DR

This paper tests the conservation of vector current (CVC) hypothesis by comparing experimental data from electron-positron collisions and tau decays, and predicts branching fractions for specific tau decay modes.

Contribution

It provides a novel test of CVC using combined $e^+e^-$ and tau decay data and predicts branching fractions for $ au$ decays involving $ au^\prime$ mesons.

Findings

CVC hypothesis is consistent with experimental data

Predicted branching fractions align with observed data

Provides new predictions for $ au$ decay modes involving $ au^\prime$ mesons

Abstract

We use experimental data on $e^{+}e^{-} \rightarrow \eta\pi^{+}\pi^{-}$ and $\tau^{-} \to \eta\pi^{-}\pi^{0}\nu_{\tau}$ to test conservation of vector current (CVC) by comparing the predicted hadronic spectrum and branching fraction with the $\tau$ decay data. Based on the corresponding $e^+e^-$ data and CVC, we also calculate the branching fraction of $\tau^{-} \to \eta^\prime\pi^{-}\pi^{0}\nu_{\tau}$ decay.