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We present the first measurement of the CP violating charge asymmetry in$B^\pm \to \mu^\pm \nu_\mu {D}^0$ decays using the full Run II integratedluminosity of 10.4 fb$^{-1}$ in proton-antiproton collisions collected with theD0 detector at the Fermilab Tevatron Collider. We measure a difference in theyield of $B^-$ and $B^+$ mesons in these decays by fitting the reconstructedinvariant mass distributions. This results in an asymmetry of $A^{\mu D^{0}}=\left[ -0.14 \pm 0.20 \right]\%$, which is consistent with standard modelpredictions.

Measurement of the direct CP violating charge asymmetry in $B^\pm \rightarrow \mu^\pm \nu_\mu D^{0}$ decays