SciPost logo

Deriving experimental constraints on the scalar form factor in the second-class $\tau \to\eta \pi \nu$ mode

Bachir Moussallam

SciPost Phys. Proc. 16, 009 (2025) · published 14 July 2025

Proceedings event

16th International Workshop on Tau Lepton Physics

Abstract

The rare second-class decay mode of the $\tau$ into $\eta\pi\nu$ could be observed for the first time at Belle II. It is important to try to derive a reliable evaluation of the branching fraction and of the energy distribution of this mode within the standard-model. Many predictions exist already in the literature which can differ by one to two orders of magnitude. Here, an approach based on a systematic use of the property of analyticity of form factors and scattering amplitudes in QCD is discussed. In particular, we will show that the scalar form factor in the $\tau$ decay can be related to photon-photon scattering and radiative $\phi$ decay amplitudes for which precise experimental measurements have been performed by the Belle and KLOE collaborations.


Author / Affiliations: mappings to Contributors and Organizations

See all Organizations.
Funder for the research work leading to this publication