Helicity form factors for $$D_{(s)} \rightarrow A \ell \nu $$ process in the light-cone QCD sum rules approach

Abstract

AbstractThe helicity form factors of the $$D_{(s)}\rightarrow A \ell ^+ \nu $$D(s)→Aℓ+ν with $$A=a_{1}^{-}, a_{1}^{0}, b_{1}^{-}, b_{1}^{0}, K_{1}(1270)$$A=a1-,a10,b1-,b10,K1(1270) and $$K_{1}(1400)$$K1(1400) are calculated in the light-cone sum rules approach, up to twist-3 distribution amplitudes of the axial vector meson A. 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 $$D_{(s)}\rightarrow A \ell ^+ \nu $$D(s)→Aℓ+ν semileptonic decays are studied by extending the form factors to the whole physical region of $$q^2$$q2. 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.