Time-dependent Dalitz-plot formalism for B_q -> J/\psi\ h+ h-

TL;DR

This paper develops a formalism for analyzing time-dependent CP violation in B_q decays to J/ and h+ h- final states, accommodating multiple angular momentum states and interference effects.

Contribution

It introduces a comprehensive Dalitz-plot formalism for B_q decays with multiple final states, enhancing CP violation measurement capabilities.

Findings

Formalism accounts for multiple h+ h- states and their interferences.

Potential to utilize more final states in CP violation studies.

Framework applicable to general spinless meson final states.

Abstract

A formalism for measuring time-dependent CP violation in B_q -> J/\psi h+ h- decays with J/\psi-> mu+ mu- is developed for the general case where there can be many h+ h- final states of different angular momentum present. Here h refers to any spinless meson. The decay amplitude is derived using similar considerations as those in a Daltiz like analysis of three-body spinless mesons taking into account the fact that the J/\psi is spin-1, and the various interferences allowed between different final states. Implementation of this procedure can, in principle, lead to the use of a larger number of final states for CP violation studies.