QCD Approach to B->D πDecays and CP Violation

Abstract

The branching ratios and CP violations of the $B\to D\pi$ decays, including both the color-allowed and the color-suppressed modes, are investigated in detail within QCD framework by considering all diagrams which lead to three effective currents of two quarks. An intrinsic mass scale as a dynamical gluon mass is introduced to treat the infrared divergence caused by the soft collinear approximation in the endpoint regions, and the Cutkosky rule is adopted to deal with a physical-region singularity of the on mass-shell quark propagators. When the dynamical gluon mass ${\mu }_g$ is regarded as a universal scale, it is extracted to be around ${\mu }_g=440$ MeV from one of the well-measured $B\to D\pi$ decay modes. The resulting predictions for all branching ratios are in agreement with the current experimental measurements. As these decays have no penguin contributions, there are no direct $CP$ asymmetries. Due to interference between the Cabibbo-suppressed and the Cabibbo-favored amplitudes, mixing-induced CP violations are predicted in the $B\to D^{\pm }{\pi }^{\mp }$ decays to be consistent with the experimental data at 1-$\sigma$ level. More precise measurements will be helpful to extract weak angle $2\beta +\gamma$.

21pages,5 figures,3 tables, typos corrected and numerical result for one of decay channels is improved

References in corpus (36)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Weak Decays Beyond Leading Logarithms
• An effective field theory for collinear and soft gluons: heavy to light decays
• 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
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• QCD factorization for B->PP and B->PV decays
• 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
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• A proof of factorization for B -> D pi
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Twist-4 Distributions and Meson Mass Corrections
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• Relating a gluon mass scale to an infrared fixed point in pure gauge QCD
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• Non-Leptonic Weak Decays of B Mesons
• Nonfactorizable contributions to $B\to D^{(\ast )}M$ decays
• Sudakov effects in B -> pi l nu form factors
• Charmless B -> VV Decays in QCD Factorization: Implications of Recent $B\to \varphi K^{\ast }$ Measurement
• Analysis of B-> ϕK Decays in QCD Factorization
• Symmetry Principle Preserving and Infinity Free Regularization and renormalization of quantum field theories and the mass gap
• $B\to \varphi \pi$ and $B^0\to \varphi \varphi$ in the Standard Model and new bounds on R parity violation
• All-orders infrared freezing of observables in perturbative QCD
• Symmetry-preserving Loop Regularization and Renormalization of QFTs
• Anomaly and Anomaly-Free Treatment of QFTs Based on Symmetry-preserving Loop Regularization
• On the Radiatively Induced Lorentz and CPT Violating Chern-Simons Term
• Rephase-Invariant CP-Violating Observables and Mixings in the $B^0$, $D^0$, $K^0$ Systems.
• All-orders infra-red freezing of R(e+e-) in perturbative QCD
• Revisiting the annihilation decay ${\bar{B}}_s\to {\pi }^{+}{\pi }^{-}$
• Improved Measurements of Color-Suppressed Decays B0bar -> D0 pi0, D0 eta, D0 omega, D*0 pi0, D*0 eta and D*0 omega
• Large Strong Phases and CP Violation in the Annihilation Processes ${\bar{B}}^0\to K^{+}{K}^{-}$, $K^{\ast \pm }{K}^{\mp }$, $K^{\ast +}{K}^{\ast -}$

Cited by in corpus (3)

• Revisiting the Annihilation Corrections in Non-leptonic ${\bar{B}}_s^0$ Decays within QCD Factorization
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach