Measurement of indirect $CP$ asymmetries in $D^0\to K^{-}{K}^{+}$ and $D^0\to \ddot{I}{€}^{-}\ddot{I}{€}^{+}$ decays using semileptonic $B$ decays

Abstract

Time-dependent $CP$ asymmetries in the decay rates of the singly Cabibbo-suppressed decays $D^0\to K^{-}{K}^{+}$ and $D^0\to \ddot{I}{€}^{-}\ddot{I}{€}^{+}$ are measured in $pp$ collision data corresponding to an integrated luminosity of 3.0 fb${}^{-1}$ collected by the LHCb experiment. The $D^0$ mesons are produced in semileptonic $b$-hadron decays, where the charge of the accompanying muon is used to determine the initial state as $D^0$ or ${\bar{D}}^0$. The asymmetries in effective lifetimes between $D^0$ and ${\bar{D}}^0$ decays, which are sensitive to indirect $CP$ violation, are determined to be \begin{align*} A_Γ(K^-K^+) = (-0.134 \pm 0.077 \; {}^{+0.026}_{-0.034})\% \, A_Γ(π^-π^+) = (-0.092\pm 0.145 \; {}^{+0.025}_{-0.033})\% \, \end{align*} where the first uncertainties are statistical and the second systematic. This result is in agreement with previous measurements and with the hypothesis of no indirect $CP$ violation in $D^0$ decays.

20 pages, 4 figures