Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis

Abstract

Semileptonic three-body $D\to M{\ell }^{+}{\nu }_{\ell }$ decays, non-leptonic $M\to VP$ decays, and semileptonic four-body $D\to M(M\to VP){\ell }^{+}{\nu }_{\ell }$ decays are analyzed using the SU(3) flavor symmetry/breaking approach, where $\ell =e/\mu$, $M=A/T$, and $A/T/V/P$ denote the axial-vector/tensor/vector/pseudoscalar mesons, respectively. In terms of SU(3) flavor symmetry/breaking, the decay amplitudes of the $D\to M{\ell }^{+}{\nu }_{\ell }$ decays and the vertex coefficients of the $M\to VP$ decays are related. The relevant non-perturbative parameters of the $D\to A{\ell }^{+}{\nu }_{\ell }$, $A\to VP$ and $T\to VP$ decays are constrained by the present experimental data, and the non-perturbative parameters of $D\to T{\ell }^{+}{\nu }_{\ell }$ decays are taken from the results in the light-front quark model since no experimental data are available at present. The branching ratios of the $D\to M{\ell }^{+}{\nu }_{\ell }$, $M\to VP$, and $D\to M(M\to VP){\ell }^{+}{\nu }_{\ell }$ decays are then predicted. We find that some processes receive both tensor and axial-vector resonant contributions, while other processes receive only axial-vector resonant contributions. In cases where both kinds of resonant contributions exist, the axial-vector contributions are dominant. Some branching ratios with axial-vector resonance states are large, and they may be measured experimentally in the near future. In addition, the sensitivities of the branching ratios of $D\to A{\ell }^{+}{\nu }_{\ell }$ and $A\to VP$ decays to the parameters are also investigated, and some decay branching ratios are found to be sensitive to the non-perturbative parameters.

27 pages, 6 figures

References in corpus (21)

• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Updating B --> PP, VP decays in the framework of flavor symmetry
• Charmless Hadronic B Decays into a Tensor Meson
• ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ Decay in the Standard Model and with New Physics
• Clues for the existence of two $K_1(1270)$ resonances
• Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3{)}_F$ breaking
• Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons
• Non-leptonic two-body weak decays of ${\Lambda }_c(2286)$
• Analysis of Charmless Two-body B decays in Factorization Assisted Topological Amplitude Approach
• Tensor meson exchange at low energies
• Sum rules for $CP$ asymmetries of charmed baryon decays in the $SU(3{)}_F$ limit
• 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
• Form factors of $P\to T$ transition within the light-front quark models
• Studying ${\mathcal{B}}_1({\frac{1}{2}}^{+})\to {\mathcal{B}}_2({\frac{1}{2}}^{+}){\ell }^{+}{\ell }^{-}$ Semi-leptonic Weak Baryon Decays with the SU(3) Flavor Symmetry
• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• Signatures of the two $K_1(1270)$ poles in $D^{+}\to \nu e^{+}VP$ decay
• $a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\to a_1(1260){\ell }^{+}{\nu }_{\ell }$ decay processes
• Helicity form factors for $D_{(s)}\to A\ell \nu$ process in the light-cone QCD sum rules approach
• $D\to a_1,f_1$ transition form factors and semileptonic decays via 3-point QCD sum rules
• Revisit of tensor-meson nonet in resonance chiral theory
• Inconsistency of the data on the $K_1(1270)\to \pi K_0^{\ast }(1430)$ decay width

Cited by in corpus (2)

• Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays