Predicting $B->\rho \gamma$ and $B_s->\rho \gamma$ using holographic AdS/QCD Distribution Amplitudes for the $\rho$ meson

Abstract

We derive holographic AdS/QCD Distribution Amplitudes for the transversely polarised $\rho$ meson and we use them to predict the branching ratio for the decays ${\bar{B}}^{\circ }\to {\rho }^{\circ }\gamma$ and ${\bar{B}}_s^{\circ }\to {\rho }^{\circ }\gamma$ beyond leading power accuracy in the heavy quark limit. For ${\bar{B}}^{\circ }\to {\rho }^{\circ }\gamma$, our predictions agree with those generated using Sum Rules (SR) Distribution Amplitudes and with the data from the BaBar and Belle collaborations. In computing the weak annihilation amplitude which is power-supressed in ${\bar{B}}^{\circ }\to {\rho }^{\circ }\gamma$ but is the leading contribution in ${\bar{B}}_s^{\circ }\to {\rho }^{\circ }\gamma$, we find that, in its present form, the AdS/QCD DA avoids the end-point divergences encountered with the SR DA .

21 pages, 4 figures. A discussion of the influence of scale evolution of the DA on the infrared divergence problem is now included. Accepted by Physical Review D

References in corpus (32)

• Weak Decays Beyond Leading Logarithms
• Linear Confinement and AdS/QCD
• Systematic approach to exclusive B ->V l^+l^-, V gamma decays
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Light-Front Holography: A First Approximation to QCD
• The $\rho$ Meson Light-Cone Distribution Amplitudes of Leading Twist Revisited
• Flavor Physics in the Quark Sector
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Twist-4 Distributions and Meson Mass Corrections
• B->V gamma Beyond QCD Factorisation
• The Radiative Decays B -> V gamma at Next-to-Leading Order in QCD
• B- and D-meson decay constants from three-flavor lattice QCD
• Lattice QCD inputs to the CKM unitarity triangle analysis
• Colour dipoles and rho, phi electroproduction
• An AdS/QCD holographic wavefunction for the rho meson and diffractive rho meson electroproduction
• The B and B_s Meson Decay Constants from Lattice QCD
• Branching Ratios for $B\to K^{\ast }\gamma$ and $B\to \rho \gamma$ Decays in Next-to-Leading Order in the Large Eneregy Effective Theory
• Saturation QCD predictions with heavy quarks at HERA
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Meson wave function from holographic models
• High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD
• Coupling of the light vector meson to the vector and to the tensor current
• Radiative and Electroweak Penguin Decays of B Mesons
• Further success of the colour dipole model
• A lattice calculation of vector meson couplings to the vector and tensor currents using chirally improved fermions
• Gluon Saturation in the Colour Dipole Model?
• CP Asymmetry, Branching ratios and Isospin breaking effects in B-> rho gamma and B-> omega gamma decays with the pQCD approach
• Extracting the Distribution Amplitudes of the rho meson from the Color Glass Condensate
• Measurement of branching fractions, isospin and CP-violating asymmetries for exclusive \boldmath$b\to d\gamma$ modes
• Handbook of Higher Twist Distribution Amplitudes of Vector Mesons in QCD
• Theory Review of Exclusive Rare Radiative Decays
• Light-front holography - A new approach to relativistic hadron dynamics and nonperturbative QCD
• Estimating the annihilation decay B_s -> rho gamma with factorization

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• Light-Front Holographic QCD and Emerging Confinement
• Generalized Parton Distributions for the Proton in AdS/QCD
• Parton distribution amplitudes of light vector mesons
• Diffractive $\rho$ and $\varphi$ production at HERA using an AdS/QCD holographic light-front meson wavefunction
• Distribution amplitudes of light-quark mesons from lattice QCD
• Distribution amplitudes of radially-excited pi- and K-mesons
• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• Predicting the isospin asymmetry in $B->K\ast \gamma$ using holographic AdS/QCD Distribution Amplitudes for the K*
• Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson
• Transverse charge and magnetization densities in holographic QCD
• Predicting the $B->\rho$ form factors using AdS/QCD Distribution Amplitudes for the $\rho$ meson
• GPDs at non-zero skewness in ADS/QCD model
• Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays
• Longitudinal momentum densities in transverse plane for nucleons
• Model of the AdS/QFT duality
• Light-front holographic $\rho$-meson distributions in the momentum space
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Form factors and transverse charge and magnetization densities in the hard-wall AdS/QCD model
• Rho meson distribution amplitudes from QCD sum rules with nonlocal condensates
• $B\to \rho$ transition form factors within the QCD light-cone sum rules and the $\rho$-meson leading-twist distribution amplitude
• The $\rho$-meson longitudinal leading-twist distribution amplitude
• Generalized parton distributions in the soft-wall model of AdS/QCD
• Application of the light-front holographic wavefunction for heavy-light pseudoscalar meson in $B_{d,s}\to D_{d,s}P$ decays
• Re-examination of the rare decay $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ using holographic light-front QCD
• 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
• Light-front holography in $B$ physics
• Predicting radiative B decays to vector mesons in holographic QCD