Direct Measurement of the Pseudoscalar Decay Constant,fDs

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Abstract

The Beijing Spectrometer (BES) experiment has observed purely leptonic decays of the ${D}_{s}$ meson in the reaction ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}_{s}^{+}{D}_{s}^{\ensuremath{-}}$ at a c.m. energy of 4.03 GeV. Three events are observed in which one ${D}_{s}$ decays hadronically to $\ensuremath{\varphi}\ensuremath{\pi}$, ${\overline{K}}^{*0}K$, or ${\overline{K}}^{0}K$, and the other decays leptonically to $\ensuremath{\mu}{\ensuremath{\nu}}_{\ensuremath{\mu}}$ or $\ensuremath{\tau}{\ensuremath{\nu}}_{\ensuremath{\tau}}$. With the assumption of $\ensuremath{\mu}\ensuremath{-}\ensuremath{\tau}$ universality, values of the branching fraction, $B({D}_{s}\ensuremath{\rightarrow}\ensuremath{\mu}{\ensuremath{\nu}}_{\ensuremath{\mu}})\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}({1.5}_{\ensuremath{-}0.6\ensuremath{-}0.2}^{+1.3+0.3})%$, and the ${D}_{s}$ pseudoscalar decay constant, ${f}_{{D}_{s}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}({4.3}_{\ensuremath{-}1.3\ensuremath{-}0.4}^{+1.5+0.4})\ifmmode\times\else\texttimes\fi{}{10}^{2}$ MeV, are obtained.

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