Improved measurement of the branching fraction of $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$

Abstract

Using $e^{+}{e}^{-}$ collision data with an integrated luminosity of $7.33{\mathrm{fb}}^{-1}$ collected at center-of-mass energies between 4.128 and 4.226 GeV with the BESIII detector operating at the BEPCII collider, the branching fraction of the leptonic decay $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$ is measured to be $(0.5294\pm 0.0108_{\mathrm{stat}}\pm 0.0085_{\mathrm{syst}})$\%. Based on this, the product of the $D_s^{+}$ decay constant $f_{D_s^{+}}$ and the magnitude of the $c\to s$ quark mixing matrix element $|V_{cs}|$ is determined to be $f_{D_s^{+}}|V_{cs}|=241.8\pm 2.5_{\mathrm{stat}}\pm 2.2_{\mathrm{syst}}\mathrm{MeV}$. Using the value of $|V_{cs}|$ given by the global standard model fit, $f_{D_s^{+}}$ is found to be $248.4\pm 2.5_{\mathrm{stat}}\pm 2.2_{\mathrm{syst}}$\,MeV. Alternatively, using the value of $f_{D_s^{+}}$ from a recent lattice quantum chromodynamics calculation, $|V_{cs}|$ is determined to be $0.968\pm 0.010_{\mathrm{stat}}\pm 0.009_{\mathrm{syst}}$.

12 pages, 4 figures (fix a typo in Table II, the previous 13717 should be 137317)

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Cited by in corpus (2)

• Charm Physics at the Super $\tau$-Charm Factory
• Measurement of the branching fraction of $D_s^{+}\to {\ell }^{+}{\nu }_{\ell }$ via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$