PoS - Proceedings of Science
Volume 385 - 10th International Workshop on Charm Physics (CHARM2020) - Parallel programme
Study of $\tau^- \to\nu_{\tau} \pi^{-}\pi^{0}\ell^{+}\ell^{-}$ decays in the framework of Resonance Chiral Theory
J.L. Gutiérrez Santiago
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Pre-published on: September 16, 2021
Published on: November 10, 2021
In this study, the $\tau^- \to\nu_{\tau} \pi^{-}\pi^{0}\ell^{+}\ell^{-}$ ($\ell=e,\,\mu$) processes are analyzed. This are $O(\alpha^2)$-suppressed with respect to the dominant di-pion tau decay channel. Both the inner-bremsstrahlung and the structure- (and model-)dependent contributions are considered. In the $\ell=e$ case, structure-dependent effects are $\mathcal{O}(1\%)$ in the decay rate, yielding a clean prediction of its branching ratio, $2.3\times10^{-5}$, measurable with BaBar or Belle(-II) data. For $\ell=\mu$, both contributions
have similar magnitude and we get a branching fraction of $(1.6\pm0.3)\times10^{-7}$, reachable by the end of Belle-II operation. These decays allow to study the dynamics of strong interactions with simultaneous weak and electromagnetic probes; their knowledge will contribute to reducing backgrounds in lepton flavor/number violating searches.
DOI: https://doi.org/10.22323/1.385.0035
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