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

References in corpus (31)

• Weak Decays Beyond Leading Logarithms
• Soft-Collinear Factorization in Effective Field Theory
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• A proof of factorization for B -> D pi
• Rho-omega mixing, vector meson dominance and the pion form-factor
• An analysis of two-body non-leptonic B decays involving light mesons in the standard model
• Charmless Hadronic Two-body Decays of B_u and B_d Mesons
• CP-Violating Asymmetries in Charmless Non-Leptonic Decays $B\to PP,PV,VV$ in the Factorization Approach
• Measurement of CP violation in the phase space of $B^{\pm }\to K^{+}{K}^{-}{\pi }^{\pm }$ and $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ decays
• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays
• Prospects for the Bc Studies at LHCb
• CP Violation and Strong Phases from Penguins in ${\mathbf{B}}^{\pm }\to \mathbf{VV}$ Decays
• CP Violation and Strong Phases from Penguins in ${\mathbf{B}}^{\pm }\to \mathbf{PP}$ and ${\mathbf{B}}^{\pm }\to \mathbf{VP}$ Decays
• Rho-Omega Mixing and the Pion Form Factor in the Time-like Region
• Analysis of rho-omega interference in the pion form-factor
• The pure annihilation type B_c to M_2 M_3 decays in the perturbative QCD approach
• Rho-Omega Mixing and Direct CP Violation in Hadronic B-Decays
• Extracting the rho-omega mixing amplitude from the pion form-factor
• Enhanced Direct CP Violation in $B^{\pm }\to {\rho }^0{\pi }^{\pm }$
• Direct CP violation of B meson via rho-omega interference
• The two-body B_c {\to} D^{(*)}_{(s)}P, D^{(*)}_{(s)}V decays in the Perturbative QCD Approach
• Direct CP Violation in Λ_b -> n (Λ)π^+π^- Decays via ρ-ωMixing
• Direct CP Violation in $B\to {\pi }^{+}{\pi }^{-}\pi$: Determination of $\alpha$ without discrete ambiguity
• Direct CP Violation in Charmed Hadron Decays via $\rho -\omega$ Mixing
• Recent developments in rho-omega mixing
• Direct CP violation for ${\bar{B}}_s^0\to K^0{\pi }^{+}{\pi }^{-}$ decay in QCD factorization

Cited by in corpus (5)

• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
• Direct $CP$ violation of three bodies decay process from the resonance effect
• $CP$ violation induced by the double resonance for pure annihilation decay process in Perturbative QCD
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD