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arXiv · 1710.10647

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

S. Momeni·R. Khosravi
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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.

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S. Momeni, R. Khosravi. 2017-10-29. Form Factors and Differential Branching Ratio of $B \to K \mu^+ \mu^-$ in AdS/QCD. https://doi.org/10.1103/physrevd.97.056005

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