$τ^- \to ωπ^- ν_τ$ decay in R$χ$T with tensor sources

Fuente: arXiv
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Autores principales: Chen, Feng-Zhi, Li, Xin-Qiang, Zou, Yuan-He
Formato: Preprint
Publicado: 2026
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author Chen, Feng-Zhi
Li, Xin-Qiang
Zou, Yuan-He
author_facet Chen, Feng-Zhi
Li, Xin-Qiang
Zou, Yuan-He
contents We present a study of the $τ^- \to ωπ^-ν_τ$ decay in the framework of low-energy effective field theory. By analyzing the $J^{PG}$ quantum numbers of the quark currents and the $ωπ$ final state, we find that only the Standard Model (SM) vector interaction and the non-standard tensor interaction can contribute to this decay. We construct the resonance chiral theory Lagrangian with external tensor sources and calculate both the vector and tensor form factors, with resonance couplings determined through QCD short-distance constraints, spectral function fitting, and chiral perturbation theory matching. The new physics (NP) effect is investigated in the spectral function and forward-backward asymmetry distributions. Our results show that the spectral function is dominated by the SM, while the forward-backward asymmetry, which can only arise from a non-zero tensor interaction, provides a sensitive probe of this NP effect. Future measurements at Belle II, Tera-Z, and STCF facilities are therefore strongly motivated.
format Preprint
id arxiv_https___arxiv_org_abs_2605_14223
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle $τ^- \to ωπ^- ν_τ$ decay in R$χ$T with tensor sources
Chen, Feng-Zhi
Li, Xin-Qiang
Zou, Yuan-He
High Energy Physics - Phenomenology
We present a study of the $τ^- \to ωπ^-ν_τ$ decay in the framework of low-energy effective field theory. By analyzing the $J^{PG}$ quantum numbers of the quark currents and the $ωπ$ final state, we find that only the Standard Model (SM) vector interaction and the non-standard tensor interaction can contribute to this decay. We construct the resonance chiral theory Lagrangian with external tensor sources and calculate both the vector and tensor form factors, with resonance couplings determined through QCD short-distance constraints, spectral function fitting, and chiral perturbation theory matching. The new physics (NP) effect is investigated in the spectral function and forward-backward asymmetry distributions. Our results show that the spectral function is dominated by the SM, while the forward-backward asymmetry, which can only arise from a non-zero tensor interaction, provides a sensitive probe of this NP effect. Future measurements at Belle II, Tera-Z, and STCF facilities are therefore strongly motivated.
title $τ^- \to ωπ^- ν_τ$ decay in R$χ$T with tensor sources
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.14223