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Main Author:	Moussallam, B.
Format:	Preprint
Published:	2021
Subjects:	High Energy Physics - Phenomenology
Online Access:	https://arxiv.org/abs/2112.04429
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author	Moussallam, B.
author_facet	Moussallam, B.
contents	The rare second-class decay mode of the $τ$ into $ηπν$ 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 $τ$ decay can be related to photon-photon scattering and radiative $ϕ$ decay amplitudes for which precise experimental measurements have been performed by the Belle and KLOE collaborations.
format	Preprint
id	arxiv_https___arxiv_org_abs_2112_04429
institution	arXiv
publishDate	2021
record_format	arxiv
spellingShingle	Deriving experimental constraints on the scalar form factor in the second-class $τ\toηπν$ mode Moussallam, B. High Energy Physics - Phenomenology The rare second-class decay mode of the $τ$ into $ηπν$ 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 $τ$ decay can be related to photon-photon scattering and radiative $ϕ$ decay amplitudes for which precise experimental measurements have been performed by the Belle and KLOE collaborations.
title	Deriving experimental constraints on the scalar form factor in the second-class $τ\toηπν$ mode
topic	High Energy Physics - Phenomenology
url	https://arxiv.org/abs/2112.04429

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