Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons

TL;DR

This paper uses partial wave analysis and covariant helicity formalism to explore how decay constraints influence the interaction terms in meson decay Lagrangians, providing predictions and confirming experimental results.

Contribution

It demonstrates how partial wave analysis constrains decay Lagrangian terms for J=1 and J=2 mesons and makes new predictions for unmeasured decay properties.

Findings

Agreement with LHCb results on axial-vector mesons

Confirmation of a large negative mixing angle in the pseudotensor sector

Predictions for unmeasured mesonic decay quantities

Abstract

We study the two-body decays of mesons using the covariant helicity formalism. In particular, we show how the partial wave analysis of decays constrains the interacting terms entering the Lagrangian describing the decays of mesons with $J=1$ and $J=2$. We use available information on partial wave analysis to study specific mesonic decays and to make predictions for not yet measured quantities as well as to investigate the isoscalar mixing angle in the axial-vector, pseudovector and pseudotensor sectors. In particular, in the axial-vector sector our result agrees with the LHCb one, and in the pseudotensor sector we confirm a quite large (and negative) angle in the nonstrange-strange basis, which is compatible with a large contribute of the axial anomaly.