Helicity form factors for D(s)→AℓνD_{(s)} \to A \ell ν process in the light-cone QCD sum rules approach

preprint2020arXivOpen access

Abstract

The helicity form factors of the D(s)→Aℓ+νD_{(s)}\to A \ell^+ ν with A=a1−,a10,b1−,b10,K1(1270)A=a_{1}^{-}, a_{1}^{0}, b_{1}^{-}, b_{1}^{0}, K_{1}(1270) and K1(1400)K_{1}(1400) are calculated in the light-cone sum rules approach, up to twist-3 distribution amplitudes of the axial vector meson AA. In the helicity form factors parametrization the unitarity constraints are applied to the fitting parameters. In addition, the effects of the low-lying resonances are included in series expansions of aforementioned form factors. The properties of the D(s)→Aℓ+νD_{(s)}\to A \ell^+ ν semileptonic decays are studied by extending the form factors to the whole physical region of q2q^2. For a better analysis, a comparison is also made between our results and the predictions obtained using transition form factors via LCSR, 3PSR and CLFQM methods.

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