Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$

Abstract

Considering the $B$ mesonic distribution amplitude ${\varphi }_{B2}$, we reinvestigated the $B$ $\to$ $PP$ (where $P$ $=$ $\pi$ and $K$) decays with the perturbative QCD (pQCD) approach based on the $k_T$ factorization for three scenarios. It is found that the contributions of ${\varphi }_{B2}$ to formfactors $F_0^{B\to P}(0)$ and branching ratios are comparable with those from the NLO corrections. The $B$ $\to$ $K\pi$ decays could be well explained by considering the ${\varphi }_{B2}$. Hence, when the nonleptonic $B$ decays are studied withe the pQCD approach, the ${\varphi }_{B2}$ should be taken into account seriously.

arXiv comment32 pages, 9 figures

References in corpus (42)

• Weak Decays Beyond Leading Logarithms
• 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
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• FLAG Review 2019
• 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
• The Belle II Physics Book
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Asymptotics of Heavy-Meson Form Factors
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• B to light meson transition form factors calculated in perturbative QCD approach
• Resolution to the B -> pi K puzzle
• Nonleptonic charmless B decays: factorization vs perturbative QCD
• $|V_{ub}|$ from $B\to \pi \ell \nu$ decays and (2+1)-flavor lattice QCD
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Applicability of Perturbative QCD to $B\to D$ Decays
• QCD factorization for B -> PP
• Threshold resummation for nonleptonic B meson decays
• The systematic study of $B\to \pi$ form factors in pQCD approach and its reliability
• Sudakov effects in B -> pi l nu form factors
• Analysis of the Decays B-> ππand πK with QCD Factorization in the Heavy Quark Limit
• Phenomenological Analysis of B->PP Decays with QCD Factorization
• SCET Analysis of B -> K pi, B -> K Kbar, and B -> pi pi Decays
• The NLO twist-3 contributions to $B\to \pi$ form factors in $k_T$ factorization
• Infrared Divergence and Twist-3 Distribution Amplitudes in QCD Factorization For $B\to PP$
• Consistent Analysis of the $B\to \pi$ Transition Form Factor in the Whole Physical Region
• $B\to \pi \pi$ decays and effects of the next-to-leading order contributions
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• Reexamining $B\to \pi \pi ,\pi K$ Decays in QCD Factorization Approach
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• Uncertainty in the leading order PQCD calculations of $B$ meson decays
• Renormalization group equation improved analysis of $B\to \pi$ form factors from Light-Cone Sum Rules
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects
• Contributions from ${\Phi }_{B2}$ to the $B$ $\to$ $PP$ decays within the QCD factorization

Cited by in corpus (10)

• Hochschild homology, trace map and $\zeta$-cycles
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Global Analysis of hadronic two-body B decays in the perturbative QCD approach
• 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
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Revisiting $B_s\to PP$ and $PV$ Decays with Contributions from ${\varphi }_{B2}$ with perturbativen QCD approach
• Sensitivity of Two-Body Non-Leptonic Branching Fractions to Theoretical Mass Variations in Heavy-Light Mesons
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach