$CP$ violation for $B_c^{+}\to D_{(s)}^{+}{\pi }^{+}{\pi }^{-}$ in Perturbative QCD

Abstract

In the perturbative QCD (PQCD) approach we study the direct $CP$ violation in $B_c^{+}\to D_{(s)}^{+}{\rho }^0(\omega )\to D_{(s)}^{+}{\pi }^{+}{\pi }^{-}$ 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 $B_c^{+}\to D^{+}{\rho }^0(\omega )\to D^{+}{\pi }^{+}{\pi }^{-}$, the maximum $CP$ violation can reach 7.5 {\%}.

arXiv admin note: text overlap with arXiv:1112.1257, arXiv:0704.3132 by other authors

References in corpus (2)

• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays
• Direct CP violation for ${\bar{B}}_s^0\to K^0{\pi }^{+}{\pi }^{-}$ decay in QCD factorization

Cited by in corpus (2)

• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD