Two- and three-body hadronic decays of charmed mesons involving a tensor meson

Abstract

We study the quasi-two-body $D\to TP$ decays and the three-body $D$ decays proceeding through intermediate tensor resonances, where $T$ and $P$ denote tensor and pseudoscalar mesons, respectively. We employ $D\to T$ transition form factors based upon light-cone sum rules and the covariant light-front quark model to evaluate the decay rates, with the former giving a better agreement with current data. Though the tree amplitudes with the emitted meson being a tensor meson vanish under factorization approximation, contributions proportional to the tensor decay constant $f_T$ can be produced from vertex and hard spectator-scattering corrections. We also investigate the finite-width effects of the tensor mesons and find that, contrary to three-body $B$ decays, the tensor-mediated $D$ decays are more seriously affected and the narrow width approximation has to be corrected. More experimental data are required in order to extract information topological amplitudes associated with quasi-two-body $D\to TP$ decays. Among the data, the $D^{+}\to f_2{\pi }^{+}$ and $D^{+}\to {\bar{K}}_2^{\ast 0}{\pi }^{+}$ branching fractions are not self consistent and further clarification is called for.

18 pages

References in corpus (7)

• Charmless Hadronic B Decays into a Tensor Meson
• B to tensor meson form factors in the perturbative QCD approach
• Hadronic D decays involving even-parity light mesons
• Finite-Width Effects in Three-Body B Decays
• Width effects in resonant three-body decays: $B$ decay as an example
• Amplitude analysis and branching fraction measurement of the decay $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$
• Semileptonic and nonleptonic decays of $D$ into tensor mesons with light-cone sum rule

Cited by in corpus (2)

• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays