Partial wave analysis of ${\tau }^{-}\to {\pi }^{-}{\pi }^{+}{\pi }^{-}{\nu }_{\tau }$ at Belle

Abstract

We present simulation studies in preparation for analyzing ${\tau }^{-}\to {\pi }^{-}{\pi }^{+}{\pi }^{-}{\nu }_{\tau }$ in data from the Belle experiment at the KEK ${\mathrm{e}}^{+}{\mathrm{e}}^{-}$ collider. Analyzing this decay can shed light on the ${\mathrm{a}}_1(1260)$ and ${\mathrm{a}}_1(1420)$ resonances and yield results that improve measurement of the $\tau$ electric and magnetic dipole moments. We show that we can achieve a higher signal efficiency than previous analyses of the same decay. We also demonstrate that neural networks can model our complicated six-dimensional background distributions and that quasi-model-independent partial-wave analysis can extract resonance masses, widths, and production amplitudes and phases.

arXiv commentsubmitted to Proceedings of Science, ICHE2022 poster session, 4 pages, 2 figures

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• Hadronic Structure in the Decay ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{\pi }^0{\pi }^0$ and the Sign of the Tau Neutrino Helicity
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• Light isovector resonances in ${\pi }^{-}p\to {\pi }^{-}{\pi }^{-}{\pi }^{+}p$ at 190 GeV/$c$
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Cited by in corpus (2)

• Effects of Final State Interactions on Landau Singularities
• Measurement of the presence of ${\mathrm{a}}_1(1420)$ and $\omega (782)$ in ${\tau }^{-}\to {\pi }^{-}{\pi }^{-}{\pi }^{+}{\nu }_{\tau }$ at Belle