In this work, the transition form factors are calculated for the semileptonic D(s) → Aℓ+ν where A = a1, b1, K1(1270, 1400), i.e.
,
, and
in the frame work of the light-cone QCD sum rules (LCSR) approach up to the twist-3 distribution amplitudes (DAs). Since the masses of these axial vector mesons are comparable to the charm quark mass, we keep out in our calculations all terms including mA/mc (all orders) in expansion of two-parton DAs. Branching ratio values are estimated for the semileptonic D(s) → Aℓν and nonleptonic D→K1 (1270, 1400) π decays. A comparison is also made between our results and predictions of other methods and the existing experimental values.
The holographic distribution amplitudes (DAs) for the K pseudoscalar meson are derived. For this aim, the light-front wave function (LFWF) of the K meson is extracted within the framework of the antide Sitter/quantum chromodynamics (AdS/QCD) correspondence. We consider a momentumdependent (dynamical) helicity wave function that contains the dynamical spin effects. We use the LFWF to predict the radius and the electromagnetic form factor of the kaon and compare them with the experimental values. Then, the holographic twist-2 DA of K meson φ K (α, µ) is investigated and compared with the result of the light-cone sum rules (LCSR). The transition form factors of the semileptonic B → Kℓ + ℓ − decays are derived from the holographic DAs of the kaon. With the help of these form factors, the differential branching ratio of the B → K µ + µ − on q 2 is plotted. A comparison is made between our prediction in AdS/QCD and the results obtained from two models including the LCSR and the lattice QCD as well as the experimental values. *
We consider the axial-vector mesons K 1 (1270) and K 1 (1400) as a mixture of two | 3 P 1 and | 1 P 1 states with the mixing angle θ that equal to (−34 ± 13) • . 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 → 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 → K 1 (1270, 1400) + − , = μ, τ 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 → K 1 (1270, 1400)γ decays are estimated. A comparison is made between our results for the branching ratios of B → K 1 (1270, 1400)γ 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).
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