Hadronic and radiative decays of the tau lepton

TL;DR

This thesis analyzes specific hadronic and radiative tau decays using a Chiral Lagrangian with resonance fields, providing detailed theoretical insights and new material on decay structures and invariant mass distributions.

Contribution

It introduces a comprehensive analysis of tau decay modes with a Chiral Lagrangian including resonance fields, and discusses new aspects like structure functions and invariant mass distributions.

Findings

Analysis of decay modes to three-pion, KKpi, and eta pi pi states

Study of differential decay widths based on two-particle invariant masses

Simplified eta-eta' mixing scheme for tau decays

Abstract

This PhD thesis studies some hadronic and radiative decays of the tau lepton using a Chiral Lagrangian including resonance fields. After a theoretical introduction, the decays to the $(\pi \pi \pi)^-$, $(KK\pi)^-$ and $\eta^{(\prime)} \pi^- \pi^0$ hadronic states and $\tau \to (\pi/K)^- \gamma \nu_tau$ are analysed. Some material, which was not included in the corresponding references, is also discussed: The structure functions analysis for the 3 pion modes, the differential decay width as a function of the two-particle invariant masses in the considered three-meson modes and a simplified study of the $\tau\to$\eta^{(\prime)} \pi^- \pi^0 \nu_tau$ processes within a single-angle mixing scheme for the $\eta$ and $\eta^\prime$ mesons.