Measurement of the absolute branching fractions for purely leptonic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>D</mml:mi><mml:mi>s</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:math> decays
Measurement of the absolute branching fractions for purely leptonic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>D</mml:mi><mml:mi>s</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:math> decays
We report new measurements of the branching fraction $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\ell}}^{+}\ensuremath{\nu})$, where ${\ensuremath{\ell}}^{+}$ is either ${\ensuremath{\mu}}^{+}$ or ${\ensuremath{\tau}}^{+}(\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\overline{\ensuremath{\nu}}}_{\ensuremath{\tau}})$, based on $6.32\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of electron-positron annihilation data collected by the BESIII experiment at six center-of-mass energy points between 4.178 and 4.226 GeV. Simultaneously floating the ${D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\nu}}_{\ensuremath{\mu}}$ and ${D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\tau}}^{+}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ components yields $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\tau}}^{+}{\ensuremath{\nu}}_{\ensuremath{\tau}})=(5.21\ifmmode\pm\else\textpm\fi{}0.25\ifmmode\pm\else\textpm\fi{}0.17)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}2}$, $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\nu}}_{\ensuremath{\mu}})=\phantom{\rule{0ex}{0ex}}(5.35\ifmmode\pm\else\textpm\fi{}0.13\ifmmode\pm\else\textpm\fi{}0.16)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$, …