QCD Approach to B->D πDecays and CP Violation

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dc.creatorSu, Fang
dc.creatorWu, Yue-Liang
dc.creatorYang, Ya-Dong
dc.creatorZhuang, Ci
dc.date2007-05-11
dc.date2007-11-14
dc.date.accessioned2026-07-07T11:56:49Z
dc.date.available2026-07-07T11:56:49Z
dc.descriptionThe branching ratios and CP violations of the $B\to Dπ$ 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 $μ_g$ is regarded as a universal scale, it is extracted to be around $μ_g = 440$ MeV from one of the well-measured $B\to Dπ$ 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 $B\to D^{\pm}π^{\mp}$ decays to be consistent with the experimental data at 1-$σ$ level. More precise measurements will be helpful to extract weak angle $2β+γ$.
dc.description21pages,5 figures,3 tables, typos corrected and numerical result for one of decay channels is improved
dc.identifierhttps://arxiv.org/abs/0705.1575
dc.identifierhttp://arxiv.org/abs/0705.1575
dc.identifierCommun.Theor.Phys.49:707-716,2008
dc.identifierdoi:10.1088/0253-6102/49/3/39
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205665
dc.subjectHigh Energy Physics - Phenomenology
dc.titleQCD Approach to B->D πDecays and CP Violation
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