Measurement of B(D_S^+ --> ell^+ nu) and the Decay Constant f_D_{S^+}

We examine e+e- --> Ds- Ds*+ and Ds*- Ds+ interactions at 4170 MeV using the CLEO-c detector in order to measure the decay constant fDs+. We use the Ds+ --> l+ nu channel, where the l+ designates either a mu+ or a tau+, when the tau+ –> pi+ nu. Analyzing both modes independently, we determine B(Ds+ --> mu+ nu) = (0.594 ± 0.066 ± 0.031)%, and B(Ds+ --> tau+ nu) = (8.0 ± 1.3 ± 0.4)%. We also analyze them simultaneously to find an effective value of B{eff}(Ds+ --> mu+ nu) = (0.638 ± 0.059 ± 0.033)% and extract fDs = (274 ± 13 ± 7) MeV. Combining with our previous determination of B(D+ -> mu+ nu), we also find the ratio fDs/fD+ = 1.23 ± 0.11 ± 0.04. We compare to current theoretical estimates. Finally, we find B(Ds+ --> e+ nu) < 1.3 x10^{-4} at 90% confidence level.