Time dependent CPV in the beauty sector

Time-dependent $CP$ violating phenomena probe the time evolution and the decay of beauty hadrons and allow access to the underlying dynamics. We present various time-dependent $CP$ violation measurements in the $B^0$ and $B_s^0$ meson systems that are performed using $pp$ collisions by LHCb and using $e^{+}e^{-}$ collisions by the B factory experiments BaBar and Belle. For LHCb, we report measurements of the quantum-loop mediated $B_s^0 \to \left( K^- \pi^+ \right) \left( K^+ \pi^- \right)$ and $B_s^0 \to \phi \phi$ decays, and measurements of $B^0 \to D^{\mp} \pi^{\pm}$ and $B_s^0 \to h^{+} h^{-}$ decays. For Belle, we report new results for the charmless $B^0 \to \pi^0 \pi^0 K^0_S$ and $B^0 \to K^0_S \eta \gamma$ decays. In addition, we present a measurement of $\cos 2\beta$ obtained by a time-dependent Dalitz plot analysis of $B^0 \to D^* h^{0}$ with $D \to K^0_S \pi^+ \pi^-$ that combines the final BaBar and Belle data sets.