Measurement of B(D_s+ -> mu+ nu_mu)/B(D_s+ -> phi mu+ nu_mu) and Determination of the Decay Constant f_{D_s}

Abstract

We have observed $23.2\pm 6.0_{-0.9}^{+1.0}$ purely-leptonic decays of $D_s^{+}->{\mu }^{+}{\nu }_{\mu }$ from a sample of muonic one prong decay events detected in the emulsion target of Fermilab experiment E653. Using the $D_s^{+}->\varphi {\mu }^{+}{\nu }_{\mu }$ yield measured previously in this experiment, we obtain $B(D_s^{+}-->{\mu }^{+}{\nu }_{\mu })/B(D_s^{+}-->\varphi {\mu }^{+}{\nu }_{\mu })=0.16\pm 0.06\pm 0.03$. In addition, we extract the decay constant $f_{D_s}=194\pm 35\pm 20\pm 14MeV$.

15 pages including one figure

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