Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays

Abstract

We study three-body nonleptonic decays $B\to VVP$ by introducing two-meson distribution amplitudes for the vector-pseudoscalar pair, such that the analysis is simplified into the one for two-body decays. The twist-2 and twist-3 $\varphi K$ two-meson distribution amplitudes, associated with longitudinally and transversely polarized $\varphi$ mesons, are constrained by the experimental data of the $\tau \to \varphi K\nu$ and $B\to \varphi K\gamma$ branching ratios. We then predict the $B\to \varphi K\gamma$ and $B\to \varphi \varphi K$ decay spectra in the $\varphi K$ invariant mass. Since the resonant contribution in the $\varphi K$ channel is negligible, the above decay spectra provide a clean test for the application of two-meson distribution amplitudes to three-body $B$ meson decays.

9 pages, 1 figure, Revtex4, version to appear in PRD

References in corpus (54)

• Weak Decays Beyond Leading Logarithms
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• 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
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Asymptotics of Heavy-Meson Form Factors
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• 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
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• The B-Meson Distribution Amplitude in QCD
• Hard exclusive electroproduction of two pions and their resonances
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• B to light meson transition form factors calculated in perturbative QCD approach
• 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
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Exclusive production of pion pairs in gamma^* gamma collisions at large Q^2
• B meson light-cone distribution amplitudes in the heavy-quark limit
• Three-Scale Factorization Theorem and Effective Field Theory
• Transverse Momentum and Sudakov Effects in Exclusive QCD Processes: gamma* gamma pi0 Form Factor
• Three-body nonleptonic B decays in perturbative QCD
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• Perturbative QCD analysis of $B\to \varphi K$ decays and Power counting
• Study of three-body charmless B decays
• 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 $B\to \gamma (\pi )l\bar{\nu }$
• The systematic study of $B\to \pi$ form factors in pQCD approach and its reliability
• Sudakov effects in B -> pi l nu form factors
• Charmless Three-Body Baryonic B Decays
• Nonresonant Three-body Decays of D and B Mesons
• $k_T$ factorization of exclusive processes
• Possible Large Direct CP Violations in Charmless B-Decays
• Gauge Invariant and Infrared Finite Theory of Nonleptonic Heavy Meson Decays
• The Scalar $B\to \pi$ and $D\to \pi$ Form Factors in QCD
• The CP violating asymmetry in $B^{\pm }\to M\bar{M}{\pi }^{\pm }$ decays
• The perturbative limit of the two-pion distribution amplitude
• Direct CP Violation in $B\to {\pi }^{+}{\pi }^{-}\pi$: Determination of $\alpha$ without discrete ambiguity
• Three-Body Charmful Baryonic B Decays $\bar{B}\to D(D^{\ast })N\bar{N}$
• Evidence for Factorization in Three-body B --> D(*) K- K0 Decays
• Chiral Perturbation Theory for $\tau \to \rho \pi {\nu }_{\tau }$, $\tau \to K^{\ast }\pi {\nu }_{\tau }$, and $\tau \to \omega \pi {\nu }_{\tau }$
• Semi-leptonic B-decays and the two-pion distribution amplitudes
• Observation of B -> phi phi K
• QCD aspects of exclusive B meson decays
• Observation of radiative B -> phi K gamma decays
• A Novel PQCD Approach in Charmless B-meson Decays
• The B^- -> phi phi K^- decay rate with phi phi invariant mass below charm treshold

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• First Observation of Radiative B^0 -> ϕK^0 γDecays and Measurements of Their Time-Dependent CP Violation
• Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach
• Observation of B+ -> Phi Phi K+ and evidence for B0 -> Phi Phi K0 below Eta_C threshold
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