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Indirect CP violation in the $D^0$ system can be probed by measuring theparameter $A_{\Gamma}$, defined as the CP asymmetry of the effective lifetimeof the $D^0$ meson decaying to a CP eigenstate. This can be significantlyenhanced beyond Standard Model predictions by new physics. Measurements of$A_{\Gamma}$ using $D^0 \rightarrow K^+K^-$ and $D^0\rightarrow \pi^+\pi^-$decays reconstructed from pp collisions collected by the LHCb experiment,corresponding to an integrated luminosity of 1.0 fb$^{-1}$, are presented. Theresults are \begin{align*}  A_{\Gamma} (\pi\pi) = (+0.33 \pm 1.06 \pm 0.14) \times 10^{-3},\quad  A_{\Gamma} (KK) = (-0.35 \pm 0.62 \pm 0.12) \times 10^{-3}, \end{align*}where the uncertainties are statistical and systematic, respectively. These arethe most precise measurements of their kind to date, and show no evidence of CPviolation.

Indirect $\boldsymbol{CP}$ Violation in $\boldsymbol{D^0 \rightarrow h^+ h^-}$ Decays at LHCb