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Bibliographic Details
Main Authors: Bai, Yu-Xuan, Hao, Jin, Guo, Zhi-Hui
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.25673
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Table of Contents:
  • In this work we explore the semileptonic $τ$ decays into the axion-like particle ($a$)-meson final states within chiral effective field theory. The next-to-leading-order mixing matrix for the $π^0$-$η$-$η'$-$a$ system with the linear isospin-breaking effects, is exploited and then implemented to calculate the hadronic form factors relevant to the $τ$ decays. The resonance parameters entering the form factors are determined from fits to the experimental spectra of $τ^- \to π^- π^0 ν_τ$, $τ^- \to K_S π^- ν_τ$, and $τ^- \to K^- ην_τ$. We then focus on the predictions to the branching ratios, invariant-mass distributions, and forward-backward asymmetries from the $τ^-\to P a ν_τ$ processes, with $P=π^-$ and $K^-$. Our results provide a quantitative basis for future searches of the axion-like particle signals in semileptonic $τ$ decays.