The isospin asymmetry in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ using AdS/QCD

Abstract

We compute the isospin asymmetry distribution in the rare dileptonic decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$, in the dimuon mass squared ($q^2$) region below the $J/\Psi$ resonance, using non-perturbative inputs as predicted by the anti-de Sitter/Quantum Chromodynamics (AdS/QCD) correspondence and by Sum Rules. We predict a positive asymmetry at $q^2=0$ which flips sign in the region $q^2 \in [1,2]~\mbox{GeV}^2$ to remain small ($\le 2\%$) and negative for larger $q^2$. While our predictions are distinct as $q^2\to 0$, they become hardly model-dependent $q^2 \ge 4~\mbox{GeV}^2$. We compare our predictions to the most recent LHCb data.

arXiv comment18 pages, 7 figures

References in corpus (35)

• Weak Decays Beyond Leading Logarithms
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Measurement of form-factor independent observables in the decay $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$
• Systematic approach to exclusive B ->V l^+l^-, V gamma decays
• Charm-loop effect in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }\gamma$
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Understanding the B->K*mu+mu- Anomaly
• Differential branching fractions and isospin asymmetries of $B\to K^{(\ast )}{\mu }^{+}{\mu }^{-}$ decays
• Light-Front Holography: A First Approximation to QCD
• Optimizing the basis of B->K*ll observables in the full kinematic range
• Lattice QCD calculation of form factors describing the rare decays $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ and $B_s\to \varphi {\ell }^{+}{\ell }^{-}$
• Measurement of Branching Fractions and Rate Asymmetries in the Rare Decays B -> K(*) l+ l-
• B->V gamma Beyond QCD Factorisation
• Differential branching fraction and angular analysis of the decay $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$
• An explicit Z'-boson explanation of the B->K*mu+mu- anomaly
• Measurements of the Angular Distributions in the Decays B -> K(*) mu+ mu- at CDF
• Left-handed Z' and Z FCNC quark couplings facing new b -> s mu^+ mu^- data
• On minimal Z' explanations of the B->K*mu+mu- anomaly
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
• On the LHCb anomaly in B -> K* l+ l-
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Isospin Breaking in B -> K^* gamma Decays
• Measurement of the B --> K^* gamma Branching Fractions and Asymmetries
• Forward-backward and isospin asymmetry for B -> K* l+ l- decay in the standard model and in supersymmetry
• Measurement of the isospin asymmetry in $B\to K^{(\ast )}{\mu }^{+}{\mu }^{-}$ decays
• Isospin asymmetries in $B\to (K^{\ast },\rho )\gamma /l^{+}{l}^{-}$ and $B\to K{l}^{+}{l}^{-}$ in and beyond the Standard Model
• Explaining the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ data with scalar interactions
• Rare B -> K^* l^+ l^- Decay in Light Cone QCD
• B -> K^* Form Factors from Flavor Data to QCD and Back
• New-physics contributions to the forward-backward asymmetry in B -> K* mu+ mu-
• Calculation of next-to-leading QCD corrections to b -> s gluon
• Measurement of Branching Fractions and CP and Isospin Asymmetries in B -> K*(892) gamma Decays
• Predicting the isospin asymmetry in $B->K\ast \gamma$ using holographic AdS/QCD Distribution Amplitudes for the K*
• Constraints on the mSUGRA parameter space from NLO calculation of isospin asymmetry in B -> K* gamma

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• Leading twist T-even TMDs for the spin-1 heavy vector mesons
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• 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
• Probing transition form factors in the rare $B\to K^{\ast }\nu \bar{\nu }$ decay
• Effect of $c\overline{c}$ resonances in the branching ratio and forward-backward asymmetry of the decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$
• 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
• The asymmetries of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay and the search of new physics beyond the Standard Model
• Holographic QCD predictions for rare B decays