Form Factors and Differential Branching Ratio of $B\to K{\mu }^{+}{\mu }^{-}$ in AdS/QCD

Abstract

The light-front distribution amplitudes (LFDAs) and the decay constant of the $K$ pseudoscalar meson are extracted within the framework of the AdS/QCD correspondence. For the LFDAs calculation, we consider a momentum-dependent (dynamical) helicity wave function which contains the dynamical spin effects. We use the LFDAs to predict the transition form factors of the semileptonic $B\to K{\ell }^{+}{\ell }^{-}$ decay. With the help of these form factors, the differential branching ratio of the $B\to K{\mu }^{+}{\mu }^{-}$ on $q^2$ is plotted. A comparison is made between our prediction in AdS/QCD and the results obtained from two models including the light-cons sum rules (LCSR) and lattice QCD as well as the experimental values.

Comments: 11 pages, 6 figures