The $CP$ violations and branching ratios for $B_c^+\to D_{(s)}^+\pi^+\pi^-(K^{+}K^{-})$ from interference of the vector mesons in Perturbative QCD

TL;DR

This paper investigates CP violations and branching ratios in specific Bc+ meson decays using perturbative QCD, highlighting the impact of vector meson interference and mixing effects on observable asymmetries.

Contribution

It introduces a detailed analysis of CP violation and branching ratios in Bc+ decays considering vector meson interference and mixing within the perturbative QCD framework, which is a novel approach.

Findings

Observed significant CP violation effects due to vector meson interference.

Predicted branching ratios show notable changes with interference effects.

Provided theoretical evidence for local CP violations in Bc+ decays.

Abstract

Within the framework of the perturbative QCD approach utilizing $K_T$ factorization, we have investigated the CP violations and branching ratios in the decay processes of $B_{c}^{+}\to D_{(s)} ^{+}V(V\rightarrow\pi^{+}\pi^{-})$ and $B_{c}^{+}\to D_{(s)}^{+}V(V\rightarrow K^{+}K^{-})$, where V denotes three vector mesons $\rho^0$, $\omega$, and $\phi$. During the $V\to \pi^+\pi^-$ and $V\to K^+K^-$ decay processes, we incorporated the $\rho^{0}-\omega-\phi$ mixing mechanism to describe the amplitudes of these quasi-two-body decay processes. Within the interference regime of the three vector particles, we observed distinct changes in both CP violations and branching ratios. Furthermore, our study presents evidence for local CP violations and branching ratios that warrants further investigation through experiments.