Nonfactorizable contributions to $B\to D^{(\ast )}M$ decays

Abstract

While the factorization assumption works well for many two-body nonleptonic $B$ meson decay modes, the recent measurement of $\bar{B}\to D^{(\ast )0}{M}^0$ with $M=\pi$, $\rho$ and $\omega$ shows large deviation from this assumption. We analyze the $B\to D^{(\ast )}M$ decays in the perturbative QCD approach based on $k_T$ factorization theorem, in which both factorizable and nonfactorizable contributions can be calculated in the same framework. Our predictions for the Bauer-Stech-Wirbel parameters, $|a_2/a_1|=0.43\pm 0.04$ and $Arg(a_2/a_1)\sim -42^{\circ }$ and $|a_2/a_1|=0.47\pm 0.05$ and $Arg(a_2/a_1)\sim -41^{\circ }$, are consistent with the observed $B\to D\pi$ and $B\to D^{\ast }\pi$ branching ratios, respectively. It is found that the large magnitude $|a_2|$ and the large relative phase between $a_2$ and $a_1$ come from color-suppressed nonfactorizable amplitudes. Our predictions for the ${\bar{B}}^0\to D^{(\ast )0}{\rho }^0$, $D^{(\ast )0}\omega$ branching ratios can be confronted with future experimental data.

arXiv comment25 pages with Latex, axodraw.sty, 6 figures and 5 tables, Version published in PRD, Added new section 5 and references

References in corpus (58)

• Weak Decays Beyond Leading Logarithms
• An effective field theory for collinear and soft gluons: heavy to light decays
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• 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
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Exclusive Semileptonic and Rare B-Meson Decays in QCD
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD
• B->pi and B->K Transitions from QCD Sum Rules on the Light-Cone
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• A proof of factorization for B -> D pi
• Exclusive Radiative B-Decays in the Light-Cone QCD Sum Rule Approach
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• Charmless Hadronic Two-body Decays of B_u and B_d Mesons
• Perturbative QCD Analysis of $B$ Meson Decays
• Nonleptonic charmless B decays: factorization vs perturbative QCD
• Threshold resummation for exclusive B meson decays
• Factorization theorems, effective field theory, and nonleptonic heavy meson decays
• Predictions on $B\to \pi \bar{l}{\nu }_l$, $D\to \pi \bar{l}{\nu }_l$ and $D\to K\bar{l}{\nu }_l$ from QCD Light-Cone Sum Rules
• Collinear effective theory at subleading order and its application to heavy-light currents
• Two Body Non Leptonic Decays of B and B_s Mesons
• Three-Scale Factorization Theorem and Effective Field Theory
• A Complete Basis for Power Suppressed Collinear-Ultrasoft Operators
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• Strong Phases and Factorization for Color Suppressed Decays
• Perturbative QCD analysis of $B\to \varphi K$ decays and Power counting
• Threshold resummation for nonleptonic B meson decays
• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
• Perturbative QCD factorization of $\pi {\gamma }^{\ast }\to \gamma (\pi )$ and $B\to \gamma (\pi )l\bar{\nu }$
• Nonfactorizable Contributions to Nonleptonic Weak Decays of Heavy Mesons
• Comments on Color-Suppressed Hadronic B Decays
• $B\to \pi \pi$ Decay in QCD
• $k_T$ factorization of exclusive processes
• Possible Large Direct CP Violations in Charmless B-Decays
• Updated Analysis of a_1 and a_2 in Hadronic Two-body Decays of B Mesons
• Branching Ratios of $B\to D_{s}K$ Decays in Perturbative QCD Approach
• Observation of Color-suppressed ${\bar{B}}^0\to D^0{\pi }^0$, $D^{\ast 0}{\pi }^0$, $D^0\eta$, and $D^0\omega$ Decays
• Final State Rescattering and Color-suppressed \bar B^0-> D^{(*)0} h^0 Decays
• Observation of ${\bar{B}}^0\to D^0{\pi }^0$ and ${\bar{B}}^0\to D^{\ast 0}{\pi }^0$
• Gauge Invariant and Infrared Finite Theory of Nonleptonic Heavy Meson Decays
• ``Non-factorizable'' terms in hadronic B-meson weak decays
• Study of pure annihilation type decays $B\to D_s^{\ast }K$
• Nonfactorization in Hadronic Two-body Cabibbo-favored decays of D^0 and D^+
• Implications of Recent ${\bar{B}}^0\to D^{(\ast )0}{X}^0$ Measurements
• Final-State Phases in $B\to D\pi ,D^{\ast }\pi$, and $D\rho$ Decays
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• Internal W-emmission and W-exchange Contributions to {\bf B}\to {{\bf D}^{(*)} Decays
• Nonfactorization and Color-Suppressed $B\to \psi (\psi (2S))+K(K^{\ast })$ Decays

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