Measurement of $\phi_s$, $\Delta\Gamma_s$ and Lifetime in $B_s \rightarrow J/\psi\phi$ at ATLAS and CMS

The $B_s \rightarrow J/\psi\phi$ decay is characterized by the decay width $\Gamma_s$, the decay width difference $\Delta\Gamma_s$ and the CP violating phase $\phi_s$. The final state is a mixture of CP even and CP odd components that are disentangled via an angular analysis. The measurement of the decay channel provides the possibility to test the predictions of the Standard Model. In particular the measurement of the CP violating phase $\phi_s$ has the capability to unveil New Physics induced enhancement of the small Standard Model value. In this document the analyses of the $B_s \rightarrow J/\psi\phi$ decay with the ATLAS and CMS detectors at the LHC are presented.