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

We study the quasi-two-body D -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 the D -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 fT 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 -TP decays. Among the data, the D+ -> f(2)pi(+) and D+ -> (K) over bar (2)*pi(+) branching fractions are not self-consistent and further clarification is called for.

Automated summary

In this study, we investigate the three-body D decays proceeding through intermediate tensor resonances and the quasi-two-body D-TP decays. We find that the decay rates calculated using light cone sum rules and the covariant light-front quark model show better agreement with experimental data. We also discover that, unlike three-body B decays, the tensor-mediated D decays are more affected by finite-width effects and require corrections.