Mixing and $C\text{\hspace{0.17em}⁣}P$ violation in charm decays at LHCb

The LHCb experiment has collected the world’s largest sample of charmed hadrons. This sample is used to measure observables related to $D^0 -\overline{D}^0$mixing,direct$C!P$violationand$C!P$ violation in mixing and interference in the charm sector. In this document, the most recent results from LHCb on the search of direct $C\text{\hspace{0.17em}⁣}P$ violation in $D^0$ and $D_{(s)}^{+}$ decays are summarised, as well as the first observation of mass difference between neutral charm-meson eigenstates and the most precise measurement of time-dependent $C\text{\hspace{0.17em}⁣}P$ asymmetry in $D^0\to K^{+}{K}^{-}$ and $D^0\to {\pi }^{+}{\pi }^{-}$ decays.