The asymmetries of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay and the search of new physics beyond the Standard Model

Abstract

In this paper, we compute the forward-backward asymmetry and the isospin asymmetry of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay. The $B\to K^{\ast }$ transition form factors (TFFs) are key components of the decay. To achieve a more accurate QCD prediction, we adopt a chiral correlator for calculating the QCD light-cone sum rules for those TFFs with the purpose of suppressing the uncertain high-twist distribution amplitudes. Our predictions show that the asymmetries under the Standard Model and the Minimal Supersymmetric Standard Model with minimal flavor violation are close in shape for $q^2\ge 6{\mathrm{GeV}}^2$ and are consistent with the Belle, LHCb and CDF data within errors. When $q^2<2{\mathrm{GeV}}^2$, their predictions behave quite differently. Thus a careful study on the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay within small $q^2$-region could be helpful for searching new physics beyond the Standard Model. As a further application, we also apply the $B\to K^{\ast }$ TFFs to the branching ratio and longitudinal polarization fraction of the $B\to K^{\ast }\nu \bar{\nu }$ decay within different models.

11 pages, 6 figures, references updated and revised version to be published in Phys. Rev. D

References in corpus (12)

• Big-Bang Nucleosynthesis
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Search for $\mathbf{B}\to \mathbf{h\nu }\bar{\mathbf{\nu }}$ decays with semileptonic tagging at Belle
• New strategies for New Physics search in B -> K* nu anti-nu, B -> K nu anti-nu and B -> X(s) nu anti-nu decays
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Penguins with Charm and Quark-Hadron Duality
• An estimate of the B-->K*gamma form factor
• The isospin asymmetry in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ using AdS/QCD
• $B\to \rho$ transition form factors within the QCD light-cone sum rules and the $\rho$-meson leading-twist distribution amplitude
• Reconsideration of the $B\to K^{\ast }$ Transition Form Factors within the QCD Light-Cone Sum Rules
• Revisiting $B\to K^{\ast }(\to K\pi )\nu \bar{\nu }$ decays

Cited by in corpus (1)

• Branching fractions and polarizations of $D\to V(\omega ,\rho ,K^{\ast })\ell {\nu }_{\ell }$ within QCD LCSR