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Improved Measurement of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">B</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi>ν</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>and the Pseudoscalar Decay Constant<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>f</…
We extract a relatively precise value for the decay constant of the ${D}^{+}$ meson by measuring $\mathcal{B}({D}^{+}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}\ensuremath{\nu})=(4.40\ifmmode\pm\else\textpm\fi{}{0.66}_{\ensuremath{-}0.12}^{+0.09})\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ using $281\text{ }\text{ }{\mathrm{pb}}^{\ensuremath{-}1}$ of data taken on the $\ensuremath{\psi}(3770)$ resonance with the CLEO-$c$ detector. We find ${f}_{{D}^{+}}=(222.6\ifmmode\pm\else\textpm\fi{}{16.7}_{\ensuremath{-}3.4}^{+2.8})\text{ }\text{ }\mathrm{MeV}$, and compare with current theoretical calculations. We also set a 90% confidence upper …