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

Abstract

We consider the axial-vector mesons $K_1(1270)$ and $K_1(1400)$ as a mixture of two ${|}^3{P}_1⟩$ and ${|}^1{P}_1⟩$ states with the mixing angle $\theta$ that equal to $(-34\pm 13{)}^{\circ }$. We calculate the light-front distribution amplitudes (LFDAs) and decay constant formulas for both the axial-vector mesons $K_1$ in the AdS/QCD correspondence. The transition form factors of the semileptonic $B\to K_1$ decays are derived in terms of the LFDAs for $K_1$ mesons. Using these form factors and decay constant values, the differential branching ratios of $B\to K_1(1270,1400){\ell }^{+}{\ell }^{-}$,~$\ell =\mu ,\tau$ transitions are plotted with respect to the four-momentum transfer squared, $q^2$. In addition, the branching ratio values of these decays and the non-leptonic $B\to K_1(1270,1400)\gamma$ decays are estimated. A comparison is made between our results for the branching ratios of $B\to K_1(1270,1400)\gamma$ decays in the AdS/QCD model and predictions obtained from the light-cone sum rules (LCSR) as well as the experimental values. Finally, the forward-backward asymmetries for the aforementioned semileptonic decays are plotted on $q^2$ in both the AdS/QCD correspondence and two Higgs doublet model (2HDM) in order to test the standard model (SM) and search for the new physics (NP).

arXiv comment16 pages, 6 figures

References in corpus (49)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Linear Confinement and AdS/QCD
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• A Comparative Study of the Decays $B\to (K,K^{\ast }){\ell }^{+}{\ell }^{-}$ in Standard Model and Supersymmetric Theories
• Hadronic Spectrum of a Holographic Dual of QCD
• Generalized parton distributions in impact parameter space
• Light-Front Holography: A First Approximation to QCD
• Light-Front Hadron Dynamics and AdS/CFT Correspondence
• Structure of Vector Mesons in Holographic Model with Linear Confinement
• Light and heavy mesons in a soft-wall holographic approach
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Form Factors and Wave Functions of Vector Mesons in Holographic QCD
• An AdS/QCD holographic wavefunction for the rho meson and diffractive rho meson electroproduction
• QCD Sum Rule Analysis of the Decays $B\to K{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Light-Cone Distribution Amplitudes of Axial-vector Mesons
• Determination of the effective strong coupling constant alpha_{s,g_1}(Q^2) from CLAS spin structure function data
• Hadronic Charmed Meson Decays Involving Axial Vector Mesons
• Towards resolution of the enigmas of P-wave meson spectroscopy
• Transition form factors of B decays into p-wave axial-vector mesons in the perturbative QCD approach
• On the Couplings of Vector Mesons in AdS/QCD
• $B\to K_1\gamma$ Decays in the Light-Cone QCD Sum Rules
• Observation of B+ --> K1(1270)+ gamma
• Form Factors of $B_{u,d,s}$ Decays into P-Wave Axial-Vector Mesons in the Light-Cone Sum Rule Approach
• K1(1270)-K1(1400) Mixing Angle and New-Physics Effects in B to K1 l+ l- Decays
• Study of $B_s\to (\eta ,{\eta }^{\prime },\varphi )\ell \bar{\ell }$ Decays
• Exclusive B-> K_{1}l ^{+}l ^{-} decay in model with single universal extra dimension
• B -> K1 l^+l^- Decays in a Family Non-universal Z' Model
• Predicting $B->\rho \gamma$ and $B_s->\rho \gamma$ using holographic AdS/QCD Distribution Amplitudes for the $\rho$ meson
• Light-Cone Distribution Amplitudes for the Light $1^1{P}_1$ Mesons
• Predicting the isospin asymmetry in $B->K\ast \gamma$ using holographic AdS/QCD Distribution Amplitudes for the K*
• Spin effects in the pion holographic light-front wavefunction
• B to V, A, T Tensor Form Factors in the Covariant Light-Front Approach: Implications on Radiative B Decays
• Lepton polarization asymmetry and forward backward asymmetry in exclusive B->K_1 tau^(+)tau^(-) decay in universal extra dimension scenario
• Holographic Wave Functions, Meromorphization and Counting Rules
• Extracting the Distribution Amplitudes of the rho meson from the Color Glass Condensate
• Predicting the $B->\rho$ form factors using AdS/QCD Distribution Amplitudes for the $\rho$ meson
• The isospin asymmetry in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ using AdS/QCD
• Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays
• Branching Ratios, Forward-backward Asymmetry and Angular Distributions of $B\to K_1{l}^{+}{l}^{-}$ Decays
• Model Independent Analysis of the Forward-Backward Asymmetry for the $B\to K_1{\mu }^{+}{\mu }^{-}$ Decay
• K_1(1270)-K_1(1400) mixing and the fourth generation SM effects in B-->K_1l^+l^- decays
• FCNC transition of $B$ to $a_1$ with LCSR
• Meson distribution amplitudes in holographic models
• Forward-backward Asymmetry and Branching Ratio of $B \rar K_1 \ell^+ \ell^-$ Transition in Supersymmetric Models
• The Semileptonic $B$ to $K_1(1270,1400)$ Decays in QCD Sum Rules
• Asymmetry Parameter of the $K_1(1270,1400)$ by Analyzing the $B\to K_1\nu \bar{\nu }$ Transition Form Factors within QCD
• Form Factors and Differential Branching Ratio of $B\to K{\mu }^{+}{\mu }^{-}$ in AdS/QCD

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