Factorization theorems, effective field theory, and nonleptonic heavy meson decays

Abstract

The nonleptonic heavy meson decays $B\to D^{(\ast )}\pi (\rho ),J/\psi K^{(\ast )}$ and $D\to K^{(\ast )}\pi$ are studied based on the three-scale perturbative QCD factorization theorem developed recently. In this formalism the Bauer-Stech-Wirbel parameters a_1 and a_2 are treated as the Wilson coefficients, whose evolution from the W boson mass down to the characteristic scale of the decay processes is determined by effective field theory. The evolution from the characteristic scale to a lower hadronic scale is formulated by the Sudakov resummation. The scale-setting ambiguity, which exists in the conventional approach to nonleptonic heavy meson decays, is moderated. Nonfactorizable and nonspectator contributions are taken into account as part of the hard decay subamplitudes. Our formalism is applicable to both bottom and charm decays, and predictions, including those for the ratios R and R_L associated with the $B\to J/\psi K^{(\ast )}$ decays, are consistent with experimental data.

39 pages, latex, 5 figures, revised version with some corrections

Cited by in corpus (140)

• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• 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
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Flavor Physics in the Quark Sector
• Resolution to the B -> pi K puzzle
• Nonleptonic charmless B decays: factorization vs perturbative QCD
• Charming Penguins Strike Back
• Semileptonic decays $B_c\to ({\eta }_c,J/\Psi )l\nu$ in the perturbative QCD approach
• The semileptonic decays $B/B_s\to (\pi ,K)(l^{+}{l}^{-},l\nu ,\nu \bar{\nu })$ in the perturbative QCD approach beyond the leading-order
• Three-body nonleptonic B decays in perturbative QCD
• Polarizations in B -> VV decays
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Nonfactorizable contributions to $B\to D^{(\ast )}M$ decays
• Perturbative QCD analysis of $B\to \varphi K$ decays and Power counting
• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
• Nonfactorizable soft gluons in nonleptonic heavy meson decays
• $B\to J/\psi K$ Decays in QCD Factorization
• Perturbative QCD factorization of $\pi {\gamma }^{\ast }\to \gamma (\pi )$ and $B\to \gamma (\pi )l\bar{\nu }$
• Sudakov effects in B -> pi l nu form factors
• Phenomenological Analysis of Charmless Decays Bs->PP,PV with QCD Factorization
• $k_T$ factorization of exclusive processes
• Possible Large Direct CP Violations in Charmless B-Decays
• Nonfactorizable contributions to $B$ meson decays into charmonia
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Measurement of branching fractions for exclusive B decays to charmonium final states
• Study of Bc --> J/psi pi, etac pi decays with perturbative QCD approach
• Final state interaction and $B\to KK$ decays in perturbative QCD
• Wave functions and decay constants of $B$ and $D$ mesons in the relativistic potential model
• Updated Analysis of a_1 and a_2 in Hadronic Two-body Decays of B Mesons
• Implications of Recent Measurements of Hadronic Charmless B Decays
• Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays
• Measurement of the B-->J/psi K^*(892) decay amplitudes
• Λ_b \to ΛJ/ψdecay in perturbative QCD
• Next-to-leading-order corrections to exclusive processes in $k_T$ factorization
• Analysis of B-> ϕK Decays in QCD Factorization
• $B$ meson wave function in $k_T$ factorization
• MSSM Anatomy of the Polarization Puzzle in B --> phi K* Decays
• Gauge Invariant and Infrared Finite Theory of Nonleptonic Heavy Meson Decays
• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Penguin pollution in the B^0 -> J/psi K_S decay
• Branching Ratio and CP Asymmetry of $B\to \pi {\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Branching Ratio and CP Asymmetry of $B\to \rho {\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Evading the CKM Hierarchy: Intrinsic Charm in B Decays
• Study of $B\to K^{\ast }\rho ,K^{\ast }\omega$ Decays with Polarization in Perturbative QCD Approach
• CP asymmetries in $B\to \varphi K_S$ and $B\to {\eta }^{\prime }{K}_S$ in MSSM
• Consistent Analysis of the $B\to \pi$ Transition Form Factor in the Whole Physical Region
• Study of $B_c^{-}$ $\to$ $J/\psi {\pi }^{-}$, ${\eta }_c{\pi }^{-}$ Decays with QCD Factorization
• Branching Ratio and Polarization of $B\to \rho (\omega )\rho (\omega )$ Decays in Perturbative QCD Approach
• Final-state interaction and s-quark helicity conservation in B -> J/psi K*
• CP Asymmetry, Branching ratios and Isospin breaking effects in B-> rho gamma and B-> omega gamma decays with the pQCD approach
• Applicability of perturbative QCD to ${\Lambda }_b\to {\Lambda }_c$ decays
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Understanding the penguin amplitude in $B\to \varphi K$ decays
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Productions of $K_0^{\ast }(1430)$ and $K_1$ in B decays
• Hochschild homology, trace map and $\zeta$-cycles
• Evidence for two-quark content of $f_0(980)$ in exclusive $b\to c$ decays
• $B\to {\eta }^{(\prime )}({\ell }^{-}{\bar{\nu }}_{\ell },{\ell }^{+}{\ell }^{-},K,K^{\ast })$ decays in the quark-flavor mixing scheme
• Nonfactorizable corrections to B -> J/psi K
• The ${\Lambda }_b\to pl\bar{\nu }$ decay in perturbative QCD
• Exclusive Decays of $B\to K^{(\ast )}{l}^{+}{l}^{-}$ in the PQCD
• Phenomenological study of the $B_c$ $\to$ $BP$, $BV$ decays with perturbative QCD approach
• Two-parton twist-3 factorization in perturbative QCD
• Reexamining $B\to \pi \pi ,\pi K$ Decays in QCD Factorization Approach
• Tree-Penguin Interference and Tests for $\cos \gamma <0$ in Rare $B\to PP$, $PV$ and $VV$ Decays
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• S-wave contributions in ${\bar{B}}_s^0\to (D^0,{\bar{D}}^0){\pi }^{+}{\pi }^{-}$ within perturbative QCD approach
• Semileptonic decays $B_c^{+}\to D_{(s)}^{(\ast )}(l^{+}\nu ,l^{+}{l}^{-},\nu \bar{\nu })$ in the perturbative QCD approach
• Direct CP Violation in Hadronic B Decays
• B meson wave function from the $B\to \gamma l\nu$ decay
• Expectations on $B\to (K_0^{\ast }(1430),K_2^{\ast }(1430))\varphi$ decays
• Helicity conservation in inclusive nonleptonic decay B to VX: Test of long-distance final state interaction
• Uncertainty in the leading order PQCD calculations of $B$ meson decays
• B \to K_0^*(1430) η^{(\prime)} decays in the pQCD approach
• Branching Ratio and CP Asymmetry of $B_s\to \rho (\omega )K$ Decays in the Perturbative QCD Approach
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Global Analysis of hadronic two-body B decays in the perturbative QCD approach
• $B \to (\jpsi,η_c) K$ decays in the perturbative QCD approach
• Charmless $B\to PP$ decays and the new physics effects in the minimal supergravity model
• Study of ${\rm Y}(nS)$ $\to$ $B_{c}P$ decays with perturbative QCD approach
• Branching Ratio and CP Asymmetry of $B_s\to {\pi }^0{\eta }^{(\prime )}$ Decays in the perturbative QCD Approach
• Perturbative approach to the penguin-induced $B\to \pi \varphi$
• Study of Bc->KK decay with perturbative QCD approach
• $B\to K_0^{\ast }(1430)K$ decays in the perturbative QCD approach
• Two-body charmed B(Bs) decays involving a light scalar meson
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• $B\to K{K}^{\ast }$ Decays in the Perturbative QCD Approach
• Reexamining charmless B\to PV decays in QCD factorization approach
• B\to πϕin SM and MSSM
• Weak phases from topological-amplitude parametrization
• Perturbative QCD study of the B-> K^* gamma decay
• Study of $B_c\to DS$ Decays in PQCD Approach
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• ${\rm Y}(1S)$ $\to$ $B_c\pi$, $B_{c}K$ decays with perturbative QCD approach
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• Space-and Time-like Electromagnetic Kaon Form Factors
• $J/\psi$ $\to$ $DP$, $DV$ decays in the QCD factorization approach
• CP asymmetry in B \to phi K_S in a SUSY SO(10) GUT
• Helicity conservation and factorization-suppressed charmless B decays
• Calculation of the $B\to K_{0,2}^{\ast }(1430)f_0(980)/\sigma$ decays in the Perturbative QCD Approach
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• The ${\rm Y}(1S)$ $\to$ $B_c\rho$ decay with perturbative QCD approach
• Sudakov effects in BBNS approach
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Charmless $B_s\to VS$ Decays in PQCD Approach
• Branching ratios of $B^{+}\to D^{(\ast )+}{K}^{(\ast )0}$ decays in perturbative QCD approach
• Possibility of searching for $B_c^{\ast }$ $\to$ $B_{u,d,s}V$, $B_{u,d,s}P$ decays
• f_0(1710) production in exclusive B decays
• $J/\psi$ $\to$ $D_{s,d}\pi$, $D_{s,d}K$ decays with perturbative QCD approach
• Study of the ${\rm Y}(1S)$ $\to$ $B_c{D}_s^{\ast }$ decay with pQCD approach
• Revisiting $B\to K^{\ast }\pi$ and $B\to K\rho$ decays using the modified perturbative QCD approach
• ${\rm Y}(nS)$ $\to$ $B_c^{\ast }D$ decays with perturbative QCD approach
• ${\rm Y}(nS)$ $\to$ $B_c\rho$, $B_c{K}^{\ast }$ decays with perturbative QCD approach
• Study of $J/\psi$ $\to$ $D_{s,d}V$ decays with perturbative QCD approach
• $B^{\ast }$ $\to$ $\bar{D}D$ decays with perturbative QCD approach
• $B\to K\pi$ Decays with $1/m_b$ Corrections in $QCD$ Factorization
• $B_s^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ decays in the pQCD approach
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• Selection rules in three-body B decay from factorization
• Study on the ${\rm Y}(1S)$ $\to$ $B_c{D}_s$ decay
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• The ${\rm Y}(nS)$ $\to$ $B_c^{\ast }\pi$, $B_c^{\ast }K$ decays with perturbative QCD approach
• PQCD approach to exclusive B decays
• Constrain the UT angle $\gamma$ by CP violation parameters in $B^0\to {\pi }^{+}{\pi }^{-}$
• Semi-inclusive nonleptonic decays B\to D_s^{(*)} X
• The semileptonic decays of $B/B_s$ meson in the perturbative QCD approach: A short review
• An analysis of B meson decays to two light pseudoscalar nonets with deltaS=1 in QCD factorization approach
• CP Violation in the $B_s^0$ system
• The ${\rm Y}(nS)$ $\to$ $B_c{D}_s$, $B_c{D}_d$ decays with perturbative QCD approach