Measurement of the semileptonic $CP$ asymmetry in $B^0-\overline{B}{}^0$ mixing

Abstract

The semileptonic $CP$ asymmetry in $B^0-\overline{B}{}^0$ mixing, $a_{\mathrm{sl}}^d$, is measured in proton-proton collision data, corresponding to an integrated luminosity of 3.0 fb${}^{-1}$, recorded by the LHCb experiment. Semileptonic $B^0$ decays are reconstructed in the inclusive final states $D^{-}{\mu }^{+}$ and $D^{\ast -}{\mu }^{+}$, where the $D^{-}$ meson decays into the $K^{+}{\pi }^{-}{\pi }^{-}$ final state, and the $D^{\ast -}$ meson into the $\overline{D}{}^0(\to K^{+}{\pi }^{-}){\pi }^{-}$ final state. The asymmetry between the numbers of $D^{(\ast )-}{\mu }^{+}$ and $D^{(\ast )+}{\mu }^{-}$ decays is measured as a function of the decay time of the $B^0$ mesons. The $CP$ asymmetry is measured to be $a_{\mathrm{sl}}^d=(-0.02\pm 0.19\pm 0.30)\%$, where the first uncertainty is statistical and the second systematic. This is the most precise measurement of $a_{\mathrm{sl}}^d$ to date and is consistent with the prediction from the Standard Model.

arXiv comment10 pages, 2 figures

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