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The study of CP violation in \Bs\, oscillations is a key measurement at theLHCb experiment. In this document, we discuss the latest LHCb results on theCP-violating phase, called $\phi_s$, using \BsJKK\, and \BsJpipi\, channels. Toconclude on the presence of New Physics in $\phi_s$, the estimation of thesub-dominant contributions from the Standard Model becomes crucial now. Weoutline a method to estimate the contribution of penguin diagrams in $\phi_s$.Branching fractions and upper limits of \BdKshh\,($ h^{(')}=K,\pi)$\, modes arepresented.

Measurement of CP violating phase $\phi_s$ and control of penguin pollution at LHCb