Study of the decays $D^+\rightarrow\eta^{(\prime)} e^+\nu_{e}$

TL;DR

This paper reports precise measurements of the branching fractions and form factors for the charm semileptonic decays D+ to eta and eta' e+ nu_e, using BESIII data, confirming previous results.

Contribution

First measurement of branching fractions and form factors for D+ to eta and eta' e+ nu_e decays with BESIII data, improving precision and confirming prior findings.

Findings

Branching fraction for D+ to eta e+ nu_e: (10.74±0.81±0.51)×10^{-4}

Branching fraction for D+ to eta' e+ nu_e: (1.91±0.51±0.13)×10^{-4}

Results consistent with CLEO-c measurements.

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.