{ "id": "1805.07046", "version": "v1", "published": "2018-05-18T04:55:14.000Z", "updated": "2018-05-18T04:55:14.000Z", "title": "Analysis of the semileptonic $B\\to K_1 \\ell^+ \\ell^-$transitions and non-leptonic $B \\to K_1 γ$ decay in the AdS/QCD correspondence", "authors": [ "S. Momeni", "R. Khosravi" ], "comment": "16 pages, 6 figures", "categories": [ "hep-ph" ], "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 $B\\to K_1$ 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 $B\\to K_1 (1270, 1400) \\ell^+ \\ell^-$,~$\\ell=\\mu,\\tau$ 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 $B \\to K_1(1270, 1400) \\gamma$ decays are estimated. A comparison is made between our results for the branching ratios of $B\\to K_1(1270, 1400) \\gamma$ 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).", "revisions": [ { "version": "v1", "updated": "2018-05-18T04:55:14.000Z" } ], "analyses": { "keywords": [ "ads/qcd correspondence", "semileptonic", "branching ratio", "non-leptonic", "axial-vector mesons" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }