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

## TL;DR

This paper measures the decay constant fDs+ and branching fractions of Ds+ leptonic decays using e+e- collision data, providing experimental values that test theoretical predictions in particle physics.

## Contribution

First measurement of fDs+ using e+e- collisions at 4170 MeV, with improved precision and comparison to theoretical models.

## Key findings

- Measured B(Ds+ --> mu+ nu) = (0.594 +- 0.066 +- 0.031)%
- Determined fDs = (274 +- 13 +- 7) MeV
- Found ratio fDs/fD+ = 1.23 +- 0.11 +- 0.04

## Abstract

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.