Effect of resonance for $CP$ asymmetry of the decay process $\bar{B}_{s}\rightarrow P\pi^+\pi^-$ in perturbative QCD

TL;DR

This paper investigates how resonance effects, specifically $ ho- ho$ mixing, can significantly enhance direct $CP$ asymmetry in the decay $ar{B}_{s} ightarrow P ext{ } ext{ extpi}^+ ext{ extpi}^-$ within the perturbative QCD framework, reaching up to 59%.

Contribution

It introduces the analysis of resonance-induced $CP$ asymmetry enhancement in $ar{B}_{s}$ decays using the PQCD approach, focusing on $ ho- ho$ mixing effects.

Findings

$CP$ asymmetry can reach up to 59% near resonance.

Resonance effects significantly enhance $CP$ asymmetry.

The $ ho- ho$ mixing mechanism is crucial for $CP$ asymmetry enhancement.

Abstract

In the framework of Perturbative QCD (PQCD) approach we study the direct $CP$ asymmetry for the decay channel $\bar{B}_{s}\rightarrow P\pi^+\pi^-$ around the resonance range via the $\rho-\omega$ mixing mechanism (where P refer to pseudoscalar meson). We find that the $CP$ asymmetry can be enhanced by $\rho-\omega$ mixing when the masses of the $\pi^+\pi^-$ pairs are at the area of $\rho-\omega$ resonance, and the maximum $CP$ asymmetry can reach 59{\%} for the relevant decay channels.