Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions

Abstract

We show the discrepancy between the isospin-rotated $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ cross-section -- measured by various collaborations -- and the Belle ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ spectrum, which cannot be explained by heavy new physics non-standard interactions. We give for the first time the framework needed to study these beyond the standard model contributions in three-meson tau decays.

arXiv comment17 pages, 5 figures, there is an ancillary Mathematica notebook file where the terms of the unpolarized squared amplitude can be consulted or modified. This is the version accepted for publication in Phys.Rev. D

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Cited by in corpus (3)

• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• CP violation in two-meson Tau decays induced by heavy new physics
• Electromagnetic corrections in hadronic tau decays