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LHCb, bolstered up by the 10^12 b-hadrons produced yearly, is an excellentplace to study rare B decays. The B_s to mu^+ mu^- decay, generated byflavour-changing neutral current, is strongly suppressed within the StandardModel (SM). However, its branching ratio can be significantly enhanced if NewPhysics (NP) exists. The current best limit is still an order of magnitudeabove the SM prediction, thus leaving room for observation of NP effects. Inthis document, the current LHCb analysis strategy for the B_s to mu^+ mu^-search is presented.

The LHCb analysis for B_s to mu^+ mu^-