$CP$ violation for $B^+_{c}\rightarrow D_{(s)}^+\pi^+\pi^-$ in Perturbative QCD

TL;DR

This paper investigates direct CP violation in the decay of Bc+ mesons to D+ and pion pairs using perturbative QCD, highlighting the enhancement due to rho-omega mixing near the omega resonance.

Contribution

It introduces a detailed analysis of CP violation in Bc+ decays considering rho-omega mixing within the PQCD framework, providing quantitative predictions for CP asymmetry.

Findings

CP violation can reach up to 7.5% in certain decay channels.

Rho-omega mixing significantly enhances CP violation near the omega resonance.

The study offers theoretical predictions for experimental CP violation measurements.

Abstract

In the perturbative QCD (PQCD) approach we study the direct $CP$ violation in $B^+_{c}\rightarrow D_{(s)}^+\rho^0(\omega) \rightarrow D_{(s)}^+\pi^+\pi^-$ via the $\rho-\omega$ mixing mechanism. We find that the $CP$ violation can be enhanced by $\rho-\omega$ mixing when the invariant masses of the $\pi^+\pi^-$ pairs are in the vicinity of the $\omega$ resonance. For the decay process $B^+_{c}\rightarrow D^+\rho^0(\omega) \rightarrow D^+\pi^+\pi^-$, the maximum $CP$ violation can reach 7.5 {\%}.