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.

11 pages, 6 figures

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Cited by in corpus (5)

• Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• Implication of family non-universal $Z^{\prime }$ model to rare exclusive $b\to s(l\bar{l},\nu \bar{\nu })$ transitions
• Study Standard Model and Majorana Neutrino Contributions to $B^{+}\to K^{(\ast )\pm }{\mu }^{+}{\mu }^{\mp }$
• 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