Measurement of CP violating phase $\varphi_s$ in $B^0_s \rightarrow J/\psi h^+h^-$ Decays at LHCb

The measurement of the CP violating phase $\phi_s$ is one of the key goals of the LHCb experiment. A time-dependent amplitude analysis of $B^-0_s \rightarrow J/\psi h^+ h^-$ decays allows the determination of this theoretically precisely predicted phase. New Physics could significantly affect the measured $\phi_s$ value, making it experimentally very interesting. This poster shows the Run 1 analyses results, and a prospect of the precision that can be expected when analysing data from 2015 and 2016, leading to the the World's most precise determination of $\phi_s$