Abstract

Inspired by recent improved measurements of charm semileptonic decays at BESIII, we study a large set of $D(D_s)$-meson semileptonic decays where the hadron in the final state is one of $D^0$, $\rho$, $\omega$, $\eta^{(\prime)}$ in the case of $D^+$ decays, and $D^0$, $\phi$, $K^0$, $K^\ast(892)^0$, $\eta^{(\prime)}$ in the case of $D^+_s$ decays. The required hadronic form factors are computed in the full kinematical range of momentum transfer by employing the covariant confined quark model developed by us. A detailed comparison of the form factors with those from other approaches is provided. We calculate the decay branching fractions and their ratios, which show good agreement with available experimental data. We also give predictions for the forward-backward asymmetry and the longitudinal and transverse polarizations of the charged lepton in the final state.

Highlights

  • Semileptonic DðDsÞ-meson decays provide a good platform to study both the weak and strong interactions in the charm sector

  • The average of the measurements of BABAR [2,3], Belle [4], BESIII [5], and CLEO [6] of the decays D → πðKÞlν was used to extract the elements jVcdðsÞj, as recently reported by the Particle Data Group (PDG) [7]. Such extraction of the CKM matrix elements from experiments requires theoretical knowledge of the hadronic form factors which take into account the nonperturbative quantum chromodynamics (QCD) effects

  • II, we briefly provide the definitions of the semileptonic matrix element and hadronic form factors

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Summary

Introduction

Semileptonic DðDsÞ-meson decays provide a good platform to study both the weak and strong interactions in the charm sector (for a review, see e.g., Ref. [1]). Measurements of their decay rates allow a direct determination of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements jVcsj and jVcdj. The average of the measurements of BABAR [2,3], Belle [4], BESIII [5], and CLEO [6] of the decays D → πðKÞlν was used to extract the elements jVcdðsÞj, as recently reported by the Particle Data Group (PDG) [7]. Such extraction of the CKM matrix elements from experiments requires theoretical knowledge of the hadronic form factors which take into account the nonperturbative quantum chromodynamics (QCD) effects

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