Semileptonic $D_q\to K_1\ell \nu$ and nonleptonic $D\to K_1\pi$ decays in three--point QCD sum rules and factorization approach

Abstract

We analyze the semileptonic $D_q\to K_1\ell \nu$ transition with $q=u,d,s$, in the framework of the three--point QCD sum rules and the nonleptonic $D\to K_1\pi$ decay within the QCD factorization approach. We study $D_q$ to $K_1(1270)$ and $K_1(1400)$ transition form factors by separating the mixture of the $K_1(1270)$ and $K_1(1400)$ states. Using the transition form factors of the $D\to K_1$, we analyze the nonleptonic $D\to K_1\pi$ decay. We also present the decay amplitude and decay width of these decays in terms of the transition form factors. The branching ratios of these channel modes are also calculated at different values of the mixing angle ${\theta }_{K_1}$ and compared with the existing experimental data for the nonleptonic case.

arXiv comment28 Pages, 20 Figures and 9 Tables

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• $D\to a_1,f_1$ transition form factors and semileptonic decays via 3-point QCD sum rules
• Up-down Asymmetries and Angular Distributions in $D\to K_1(\to K\pi \pi ){\ell }^{+}{\nu }_{\ell }$
• $B_{(s)}\to D_{(s)}^{\ast \ast }$ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• First Measurement of the Decay Dynamics in the Semileptonic Transition of the $D^{+(0)}$ into the Axial-vector Meson ${\bar{K}}_1(1270)$
• Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons
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• Observation of $D\to {\bar{K}}_1(1270){\mu }^{+}{\nu }_{\mu }$ and test of lepton flavor universality with $D\to {\bar{K}}_1(1270){\ell }^{+}{\nu }_{\ell }$
• Weak Annihilation Contribution to Angular Observables in $B_c^{+}\to D^{\ast +}{\ell }^{+}{\ell }^{-}$ Decays
• A proposal to the '$\frac{1}{2}$ vs. $\frac{3}{2}$ puzzle'