Direct CP Violation in Charm Decays due to Left-Right Mixing

Motivated by the $3.8\sigma$ deviation from no CP violation hypothesis for the CP asymmetry (CPA) difference between $D^0\to K^{+}{K}^{-}$ and $D^0\to \pi^+ \pi^-$, reported recently by LHCb and CDF, we investigate the CP violating effect due to the left-right (LR) mixing in the general LR symmetric model. In particular, in the non-manifest LR model we show that the large CPA difference could be explained, while the constraints from $({ϵ}^{\mathrm{\prime }}\mathrm{/}ϵ{)}_K$ and $D^0$-${\bar{D}}^0$ are satisfied.