Triple-product asymmetry in the radiative two-pion tau decay

Abstract

In this work, we perform a detailed study of the ${\tau }^{-}\to {\pi }^{-}{\pi }^0\gamma \nu$ decay process within the resonance chiral theory. We pay special attention to the triple-product asymmetry in the ${\tau }^{-}\to {\pi }^{-}{\pi }^0\gamma \nu$ process. The minimal resonance chiral Lagrangian and the odd-intrinsic parity resonance operators are simultaneously included to calculate the decay amplitudes. Various invariant-mass distributions in the ${\pi }^{-}{\pi }^0$, ${\pi }^{-}\gamma$ and ${\pi }^0\gamma$ systems are studied and they reveal different resonance dynamics. We further predict the intriguing nonzero triple-product asymmetry distributions, which may provide useful guidelines for future experimental measurements conducted at the Belle-II and super tau-charm facilities.

32 pages, 9 figures. To match the published version

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• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• Sizing the double pole resonant enhancement in $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\gamma$ cross section and ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }\gamma$ decay
• CP violation in two-meson Tau decays induced by heavy new physics
• Polarized tau decay and CP violation in ultraperipheral heavy-ion collisions