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We analyse the rare decay mode B_s -> mu^+ mu^- in the minimal supergravityscenario (mSUGRA). We find a strong correlation with the muon anomalousmagnetic moment (g-2)_mu. An interpretation of the recently measured excess in(g-2)_mu in terms of mSUGRA corrections implies a substantial supersymmetricenhancement of the branching ratio Br(B_s -> mu^+ mu^-): if (g-2)_mu exceedsthe Standard Model prediction by 4*10^{-9}, Br(B_s -> mu^+ mu^-) is larger by afactor of 10-100 than in the Standard Model and within reach of Run-II of theTevatron. Thus an experimental search for B_s -> mu^+ mu^- is a stringent testof the mSUGRA GUT scale boundary conditions. If the decay B_s -> mu^+ mu^- isobserved at Run-II of the Tevatron, then we predict the mass of the lightestsupersymmetric Higgs boson to be less than 120 GeV. The decay B_s -> mu^+ mu^-can also significantly probe the favoured parameter range in SO(10) SUSY GUTmodels.Comment: bug in numerics (affecting the figs.) fixed, discussion of A_0<>0  added, accepted by PR

physical review letters

Correlation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi mathvariant="italic" /><mml:mo>→</mml:mo><mml:mi mathvariant="italic" /><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></…

Correlation ofBs→μ+μ−