Measurement of CP violation in the analysis of $B^{\,0} \to J/\psi K_s$ decays with the 2010 LHCb data

This thesis describes a measurement of the time dependent decay rate asym- metry in $B^{\,0} \to J/\psi K_s$ decays with the 2010 LHCb data sample. The found value for S is 0.881$^{+0.334}_{-0.301}$, which is compatible with the current world average. A Monte Carlo study has been performed to investigate the lifetime resolution model. Furthermore two Goodness-of-Fit tests applied to the analysis gave a statistical significance of p = 0.477 and p = 0.812.