Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays

Abstract

In this paper the dynamical spin effects of the light-front holographic wavefunctions for light pseudoscalar mesons are studied using two different assumptions. These improved wavefunctions are then confronted with a number of sensitive hadronic observables: the decay constants of $\pi$ and $K$ mesons, their $\xi$-moments, the pion-to-photon transition form factor, and the pure annihilation ${\bar{B}}_s\to {\pi }^{+}{\pi }^{-}$ and ${\bar{B}}_d\to K^{+}{K}^{-}$ decays. Taking $f_{\pi }$, $f_K$ and their ratio $f_K/f_{\pi }$ as constraint conditions, the ${\chi }^2$ analyses for holographic parameters, including the mass scale parameter $\sqrt{\lambda }$ and effective quark masses, are all consistent with the mass scale which controls the slopes of the light-quark hadronic Regge trajectories. In addition, we also show how the improved light-front holographic distribution amplitudes regulate the end-point divergences which appear in the annihilation amplitudes of $B\to PP$ decays.

28 pages, 4 figures and 4 tables

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Cited by in corpus (14)

• Self-consistency and covariance of light-front quark models: testing via $P$, $V$ and $A$ meson decay constants, and $P\to P$ weak transition form factors
• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons
• Pion-photon transition form factor in LCSR and tests of asymptotics
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• Light-front holographic radiative transition form factors for light mesons
• Application of the light-front holographic wavefunction for heavy-light pseudoscalar meson in $B_{d,s}\to D_{d,s}P$ decays
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• Extraction of the CKM phase $\gamma$ from charmless two-body B meson decays
• Analysis of the semileptonic $B\to K_1{\ell }^{+}{\ell }^{-}$transitions and non-leptonic $B\to K_1\gamma$ decay in the AdS/QCD correspondence
• Form Factors and Differential Branching Ratio of $B\to K{\mu }^{+}{\mu }^{-}$ in AdS/QCD
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models
• The pion in holographic light-front QCD