Improved measurement of the absolute branching fraction of $D^{+}\rightarrow \bar{K}^0 \mu ^{+}\nu _{\mu }$
Here, by analyzing 2.93 fb -1 of data collected at √s = 3.773 GeV with the BESIII detector, we measure the absolute branching fraction B(D + → K¯ 0 μ + ν μ ) = (8.72 ± 0.07 stat. ± 0.18 sys. )%, which is consistent with previous measurements within uncertainties but with significantly improved precision. Combining the Particle Data Group values of B(D 0 → K - μ + ν μ ), B(D + → K¯ 0 e + ν e ), and the lifetimes of the D 0 and D + mesons with the value of B(D + → K¯ 0 μ + ν μ ) measured in this work, we determine the following ratios of partial widths: Γ(D 0 → K - μ + ν μ )/Γ(D + → K¯ 0 μ + ν μ ) = 0.963 ± 0.044 and Γ(D + → K¯ 0 μ + ν μ )/Γ(D + → K¯ 0 e + ν e ) = 0.988 ± 0.033.