Study of anomalous tau lepton decay using chiral Lagrangian with vector mesons

TL;DR

This paper investigates the intrinsic parity violating decay of the tau lepton into hadrons, extending the chiral Lagrangian with vector mesons to predict spectra and compare with experimental data.

Contribution

It introduces an extended chiral Lagrangian incorporating intrinsic parity violation and vector mesons, enabling predictions of tau decay spectra.

Findings

Predicted hadronic invariant mass spectra for tau decay.

Fitted coefficients for parity violating terms using experimental branching fractions.

Enhanced theoretical framework for tau decay analysis.

Abstract

An intrinsic parity violating hadronic tau lepton decay is investigated. $\tau \to \pi \pi \eta \nu$ is the process in which the dominant contribution to the amplitude is due to the intrinsic parity violation. To predict the hadronic invariant mass spectra and to compare them with experimental data, we extend the chiral Lagrangian with vector mesons so that it incorporates the intrinsic parity violating terms and $\phi$ and $\eta^\prime$ mesons. The coefficients of the intrinsic parity violating terms will be determined by fitting the branching fractions for $V^I \rightarrow P \gamma$, $V^I \rightarrow 3 P$ and $P \to V^I \gamma $ where $V^I$ denotes vector mesons $1^-$ and $P$ denotes pseudo-scalar mesons $0^-$.