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The LHCb experiment at CERN's Large Hadron Collider will soon allow us toenter a new era in the exploration of B_s decays. A particularly promisingchannel for the search of "new physics" is B^0_s -> mu^+ mu^-. The systematickey uncertainty affecting the measurement of this -- and in fact all B_s-decaybranching ratios -- is the ratio of fragmentation functions f_d/f_s. As thepresently available methods for determining f_d/f_s are not sufficient to meetthe high precision at LHCb, we propose a new strategy using \bar B^0_s -> D_s^+pi^- and \bar B^0_d -> D^+ K^-. It allows us to obtain a lower experimentalbound on BR(B^0_s -> mu^+ mu^-) which offers a powerful probe for new physics.In order to go beyond this bound and to determine f_d/f_s with a theoreticalprecision matching the experimental one it is sufficient to know theSU(3)-breaking correction to a form-factor ratio from non-perturbative methodsat the level of 20%. Thanks to our strategy, we can detect new physics in B^0_s-> mu^+ mu^- at LHCb with 5 sigma for a branching ratio as small as twice theStandard-Model value, which represents an improvement of the new-physics reachby about a factor of two with respect to the current LHCb expectation.

New Strategy for B_s Branching Ratio Measurements and the Search for New Physics in B^0_s -> mu^+ mu^-