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By analyzing 2.93 fb$^{-1}$ of data collected at $\sqrt s=3.773$ GeV with theBESIII detector, we measure the absolute branching fraction ${\mathcalB}(D^{+}\rightarrow\bar K^0\mu^{+}\nu_{\mu})=(8.72 \pm 0.07_{\rm stat.} \pm0.18_{\rm sys.})\%$, which is consistent with previous measurements withinuncertainties but with significantly improved precision. Combining the ParticleData Group values of ${\mathcal B}(D^0\to K^-\mu^+\nu_\mu)$, ${\mathcalB}(D^{+}\rightarrow\bar K^0 e^{+}\nu_{e})$, and the lifetimes of the $D^0$ and$D^+$ mesons with the value of ${\mathcal B}(D^{+}\rightarrow\bar K^0\mu^{+}\nu_{\mu})$ measured in this work, we determine the following ratios ofpartial widths: $\Gamma(D^0\to K^-\mu^+\nu_\mu)/\Gamma(D^{+}\rightarrow\barK^0\mu^{+}\nu_{\mu})=0.963\pm0.044$ and $\Gamma(D^{+}\rightarrow\bar K^0\mu^{+}\nu_{\mu})/\Gamma(D^{+}\rightarrow\bar K^0 e^{+}\nu_{e})=0.988\pm0.033$.

Improved measurement of the absolute branching fraction of $D^{+}\rightarrow \bar K^0 \mu^{+}\nu_{\mu}$