Global Analysis of hadronic two-body B decays in the perturbative QCD approach

Abstract

Based on the flavor structure of four-quark effective operators, we develop an automatic computation program to calculate hadronic two-body $B$ meson decay amplitudes, and apply it to their global analysis in the perturbative QCD (PQCD) approach. Fitting the PQCD factorization formulas for $B\to PP,VP$ decays at leading order in the strong coupling ${\alpha }_s$ to measured branching ratios and direct CP asymmetries, we determine the Gegenbauer moments in light meson light-cone distribution amplitudes (LCDAs). It is found that most of the fitted Gegenbauer moments of the twist-2 and twist-3 LCDAs for the pseudoscalar meson $P$ ($P=\pi$, $K$) and vector meson $V$ ($V=\rho$, $K^{\ast }$) agree with those derived in QCD sum rules. The shape parameter for the $B_s$ meson distribution amplitude and the weak phase ${\varphi }_3(\gamma )=(75.1\pm 2.9{)}^{\circ }$ consistent with the value in Particle Data Group are also obtained. It is straightforward to extend our analysis to higher orders and higher powers in the PQCD approach, and to the global determination of LCDAs for other hadrons.

References in corpus (53)

• 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
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• The ratio of proton's electric to magnetic form factors measured by polarization transfer
• FLAG Review 2019
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• 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 Belle II Physics Book
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Implications of LHCb measurements and future prospects
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Exclusive Radiative B-Decays in the Light-Cone QCD Sum Rule Approach
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• Perturbative QCD Analysis of $B$ Meson Decays
• Nonleptonic charmless B decays: factorization vs perturbative QCD
• Threshold resummation for exclusive B meson decays
• $B\to \pi \rho$, $\pi \omega$ Decays in Perturbative QCD Approach
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• Factorization theorems, effective field theory, and nonleptonic heavy meson decays
• Radiative leptonic decays of B mesons in QCD
• Three-Scale Factorization Theorem and Effective Field Theory
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Next-to-leading-order corrections to $B\to \pi$ form factors in $k_T$ factorization
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• 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
• The systematic study of $B\to \pi$ form factors in pQCD approach and its reliability
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• $B\to \pi \pi$ Decay in QCD
• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• Two-body non-leptonic heavy-to-heavy decays at NNLO in QCD factorization
• Next-to-leading-order corrections to exclusive processes in $k_T$ factorization
• Joint resummation for pion wave function and pion transition form factor
• Gauge Invariant and Infrared Finite Theory of Nonleptonic Heavy Meson Decays
• The $\rho$-meson light-cone distribution amplitudes from lattice QCD
• QCD Form Factors and Hadron Helicity Non-Conservation
• Second moment of the pion distribution amplitude with the momentum smearing technique
• Subleading power corrections to the pion-photon transition form factor in QCD
• Two-loop non-leptonic penguin amplitude in QCD factorization
• Revisiting the B {\to} π ρ, π ω Decays in the Perturbative QCD Approach Beyond the Leading Order
• Measurement of CP violation in the decay $B^{+}\to K^{+}{\pi }^0$
• Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$
• CP Violation in $B^{\pm }\to {\rho }^0{\pi }^{\pm }$ and $B^{\pm }\to \sigma {\pi }^{\pm }$ Decays
• Extraction of the CKM phase $\gamma$ from charmless two-body B meson decays
• Next-to-Leading-logarithm threshold resummation for exclusive $B$ meson decays

Cited by in corpus (11)

• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Hochschild homology, trace map and $\zeta$-cycles
• Dispersive derivation of the pion distribution amplitude
• Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach
• Higher twist corrections to doubly-charmed baryonic $B$ decays
• Determination of pion distribution amplitudes from the electromagnetic form factor with the data-driven dispersion relation
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• $CP$-violating observables in four-body $B\to \varphi (\to K\bar{K})K^{\ast }(\to K\pi )$ decays
• Family Non-universal $Z^{\prime }$ Effects on $B_{d,s}\to K^{\ast 0}{\overline{K}}^{\ast 0}$ Decays in Perturbative QCD Approach
• $S$-wave contributions to the $B_{(s)}\to {\chi }_{c1}(\pi \pi ,K\pi ,KK)$ decays
• Revisiting $B_s\to PP$ and $PV$ Decays with Contributions from ${\varphi }_{B2}$ with perturbativen QCD approach