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

Abstract

The helicity form factors of the $D_{(s)}\to A{\ell }^{+}\nu$ with $A=a_1^{-},a_1^0,b_1^{-},b_1^0,K_1(1270)$ and $K_1(1400)$ 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 $D_{(s)}\to A{\ell }^{+}\nu$ semileptonic decays are studied by extending the form factors to the whole physical region of $q^2$. 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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Cited by in corpus (6)

• Observation of $D^0\to K_1(1270{)}^{-}{e}^{+}{\nu }_e$
• $a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\to a_1(1260){\ell }^{+}{\nu }_{\ell }$ decay processes
• Up-down Asymmetries and Angular Distributions in $D\to K_1(\to K\pi \pi ){\ell }^{+}{\nu }_{\ell }$
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• Observation of the semileptonic decays $D^0\to K_S^0{\pi }^{-}{\pi }^0{e}^{+}{\nu }_e$ and $D^{+}\to K_S^0{\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• Longitudinal leading-twist distribution amplitude of the ${}^1{P}_1$-state $b_1(1235)$ meson and its implications on $B\to b_1(1235){\ell }^{+}{\nu }_{\ell }$ decays