Improved measurement of absolute branching fraction ofDs+→τ+ντ

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Abstract

We have studied the leptonic decay ${D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\tau}}^{+}{\ensuremath{\nu}}_{\ensuremath{\tau}}$, via the decay channel ${\ensuremath{\tau}}^{+}\ensuremath{\rightarrow}{e}^{+}{\ensuremath{\nu}}_{e}{\overline{\ensuremath{\nu}}}_{\ensuremath{\tau}}$, using a sample of tagged ${D}_{s}^{+}$ decays collected near the ${D}_{s}^{*\ifmmode\pm\else\textpm\fi{}}{D}_{s}^{\ensuremath{\mp}}$ peak production energy in ${e}^{+}{e}^{\ensuremath{-}}$ collisions with the CLEO-c detector. We obtain $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\tau}}^{+}{\ensuremath{\nu}}_{\ensuremath{\tau}})=(5.30\ifmmode\pm\else\textpm\fi{}0.47\ifmmode\pm\else\textpm\fi{}0.22)%$ and determine the decay constant ${f}_{{D}_{s}}=(252.5\ifmmode\pm\else\textpm\fi{}11.1\ifmmode\pm\else\textpm\fi{}5.2)\text{ }\text{ }\mathrm{MeV}$, where the first uncertainties are statistical and the second are systematic.

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