Analysis of the semileptonic transitions and non-leptonic decay in the AdS/QCD correspondence

S. Momeni; R. Khosravi

doi:10.1140/epjc/s10052-018-6275-1

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2018) 78: 805
https://doi.org/10.1140/epjc/s10052-018-6275-1

Regular Article - Theoretical Physics

Analysis of the semileptonic $B\rightarrow K_1 \ell ^+ \ell ^-$ transitions and non-leptonic $B \rightarrow K_1 \gamma$ decay in the AdS/QCD correspondence

S. Momeni and R. Khosravi^*

Department of Physics, Isfahan University of Technology, Isfahan, 84156-83111, Iran

^* e-mail: rezakhosravi@cc.iut.ac.ir

Received: 21 May 2018
Accepted: 22 September 2018
Published online: 4 October 2018

Abstract

We consider the axial-vector mesons $$K_1(1270)$$ and $$K_1(1400)$$ as a mixture of two $|^3P_1\rangle$ and $|^1P_1\rangle$ states with the mixing angle $\theta$ that equal to $(-34\pm 13)^\circ$ . We calculate the light-front distribution amplitudes (LFDAs) and decay constant formulas for both the axial-vector mesons $$K_1$$ in the AdS/QCD correspondence. The transition form factors of the semileptonic $B\rightarrow K_1$ decays are derived in terms of the LFDAs for $$K_1$$ mesons. Using these form factors and decay constant values, the differential branching ratios of $B\rightarrow K_1 (1270, 1400) \ell ^+ \ell ^-$ , $\ell =\mu ,\tau$ transitions are plotted with respect to the four-momentum transfer squared, $$q^2$$ . In addition, the branching ratio values of these decays and the non-leptonic $B \rightarrow K_1(1270, 1400) \gamma$ decays are estimated. A comparison is made between our results for the branching ratios of $B\rightarrow K_1(1270, 1400) \gamma$ decays in the AdS/QCD model and predictions obtained from the light-cone sum rules (LCSR) as well as the experimental values. Finally, the forward-backward asymmetries for the aforementioned semileptonic decays are plotted on $$q^2$$ in both the AdS/QCD correspondence and two Higgs doublet model (2HDM) in order to test the standard model (SM) and search for the new physics (NP).