The absolute branching fraction of is reported for the first time based on an annihilation sample of ten billion events collected with the BESIII detector at GeV. The branching fraction is determined to be ${\mathcal B}(\Lambda \to p\mu^- \bar{\nu}{\mu}) = [1.48\pm0.21(\rm stat) \pm 0.08(\rm syst)]\times 10^{-4}$, which is a significant improvement in precision over the previous indirect measurements. Combining this result with the world average of , we obtain the ratio, $\frac{\Gamma(\Lambda \to p \mu^- \bar{\nu}{\mu})}{\Gamma(\Lambda \to p e^- \bar{\nu}{e})}0.178 \pm 0.028$, which agrees with the standard model prediction assuming lepton flavor universality. The asymmetry of the branching fractions of and $\bar{\Lambda} \to \bar{p} \mu^+ \nu{\mu}CP$ violation is found.

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