A QCD sum rule calculation with dimension-six condensates gives f_D+ = 203.0 ± 1.5 MeV and, with BESIII data, |Vcd| = 0.227 +0.002 -0.001.
Study of the decays $D^+\rightarrow\eta^{(\prime)} e^+\nu_{e}$
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abstract
The charm semileptonic decays $D^+\to\eta e^+\nu_{e}$ and $D^+\to\eta'e^+\nu_{e}$ are studied with a sample of $e^+e^-$ collision data corresponding to an integrated luminosity of 2.93 fb$^{-1}$ collected at $\sqrt{s}$ = 3.773 GeV with the BESIII detector. We measure the branching fractions for $D^+\to\eta e^+\nu_{e}$ to be $(10.74\pm0.81\pm0.51)\times10^{-4}$, and for $D^+\to\eta'e^+\nu_{e}$ to be $(1.91\pm0.51\pm0.13)\times10^{-4}$, where the uncertainties are statistical and systematic, respectively. In addition, we perform a measurement of the form factor in the decay $D^+\to\eta e^+\nu_{e}$. All the results are consistent with those obtained by the CLEO-c experiment.
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Prospective analysis of CKM element $|V_{cd}|$ and $D^+$-meson decay constant from leptonic decays $D^+ \to \ell^+ \nu$
A QCD sum rule calculation with dimension-six condensates gives f_D+ = 203.0 ± 1.5 MeV and, with BESIII data, |Vcd| = 0.227 +0.002 -0.001.