Predicting B->K* form factors in light-cone QCD

Abstract

We use QCD light-cone sum rules with holographic anti de Sitter/Chromodynamics (AdS/QCD) Distribution Amplitudes (DAs) for the $K^{\ast }$ meson in order to predict the full set of seven $B\to K^{\ast }$ transition form factors for intermediate-to-high recoil of the vector meson. We provide simple parametrizations for the form factors that fit our AdS/QCD predictions. We also provide parametrizations that fit both our AdS/QCD predictions and the most recent lattice data for low recoil. We use our form factors to predict the differential and total branching fraction of the rare dileptonic decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ which we compare to the recent LHCb data.

16 pages, 9 figures

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Cited by in corpus (20)

• Light-Front Holographic QCD and Emerging Confinement
• Analysis of Charmless Two-body B decays in Factorization Assisted Topological Amplitude Approach
• Analysis of Two-body Charmed $B$ Meson Decays in Factorization-Assisted Topological-Amplitude Approach
• Time dependence in $B\to V\ell \ell$ decays
• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays
• Form factors and transverse charge and magnetization densities in the hard-wall AdS/QCD model
• $B\to K^{\ast }$ Transition Form Factors and the Semi-leptonic Decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$
• Generalized parton distributions in the soft-wall model of AdS/QCD
• Reconsideration of the $B\to K^{\ast }$ Transition Form Factors within the QCD Light-Cone Sum Rules
• Application of the light-front holographic wavefunction for heavy-light pseudoscalar meson in $B_{d,s}\to D_{d,s}P$ decays
• Analysis of three-body charmless $B$-meson decays under the factorization-assisted topological-amplitude approach
• Effect of $c\overline{c}$ resonances in the branching ratio and forward-backward asymmetry of the decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$
• Probing transition form factors in the rare $B\to K^{\ast }\nu \bar{\nu }$ decay
• Extraction of the CKM phase $\gamma$ from charmless two-body B meson decays
• Re-examination of the rare decay $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ using holographic light-front QCD
• Light-Front Holography in QCD and Hadronic Physics
• Light-front holography in $B$ physics
• Holographic QCD predictions for rare B decays
• The application of light front holographic QCD to B physics