Predicting the $B->\rho$ form factors using AdS/QCD Distribution Amplitudes for the $\rho$ meson

Abstract

We use QCD light-cone sum rules (LCSR) with holographic anti de Sitter/Chromodynamics (AdS/QCD) Distribution Amplitudes (DAs) for the $\rho$ meson to predict the form factors that govern the leading amplitudes of the rare radiative $B->\rho \gamma$ decay and the semileptonic decay $B->\rho l\nu$. We test the Isgur-Wise relation between the radiative and semileptonic form factors. We also compute the total width (in units of $|V_{ub}{|}^2$) for the semileptonic decay $B->\rho l\nu$ as well as ratios of partial decay widths which are independent of $|V_{ub}|$.

14 pages, 8 figures. Revised version after addressing Referee's comments

References in corpus (8)

• Light-Front Holography: A First Approximation to QCD
• B->V gamma Beyond QCD Factorisation
• Study of B --> pi l nu and B --> rho l nu Decays and Determination of |V_ub|
• Saturation QCD predictions with heavy quarks at HERA
• Meson wave function from holographic models
• Further success of the colour dipole model
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• Extracting the rho meson wavefunction from HERA data

Cited by in corpus (17)

• Light-Front Holographic QCD and Emerging Confinement
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• Meson structure in light-front holographic QCD
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• Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays
• Light-front holographic $\rho$-meson distributions in the momentum space
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• $B\to \rho$ transition form factors within the QCD light-cone sum rules and the $\rho$-meson leading-twist distribution amplitude
• Application of the light-front holographic wavefunction for heavy-light pseudoscalar meson in $B_{d,s}\to D_{d,s}P$ decays
• The $B\to \rho$ helicity form factors within the QCD light-cone sum rules
• Superconformal Algebraic Approach to Hadron Structure
• Probing transition form factors in the rare $B\to K^{\ast }\nu \bar{\nu }$ decay
• 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
• $D\to P(\pi ,K)$ helicity form factors within light-cone sum rule approach
• Form Factors and Differential Branching Ratio of $B\to K{\mu }^{+}{\mu }^{-}$ in AdS/QCD
• Light-Front Holography in QCD and Hadronic Physics
• The application of light front holographic QCD to B physics