Mixing induced $CP$ violation in $B^0$ decays

Measurements of CP violating phases provide valuable tests of the flavour sector in the SM and offer opportunities to search for signs of beyond-SM physics. The LHCb experiment has mea- sured mixing-induced CP violation in various B 0 decay modes using proton-proton collision data, corresponding to an integrated luminosity of 3 fb − 1 , collected at √ s = 7 and 8 TeV. In this talk latest results on B 0 → J / ψ K 0 S , B 0 → D + D − and B 0 → J / ψ π − π + decays are reported. The mea- surements of the CP violating phases are presented and the contributions due to tree-level and loop processes are discussed.