Correlation of Bs --> µ+µ and (g 2)µ in Minimal Supergravity

Athanasios Dedes, Herbert K. Dreiner and Ulrich Nierste 1 Physikalisches Institut, Universität Bonn, Nußallee 12, D-53115 Bonn, Germany 2 CERN, TH Division, CH-1211 Geneva 23, Switzerland We analyse the rare decay mode Bs → μ+μ− in the minimal supergravity scenario (mSUGRA). We find a strong correlation with the muon anomalous magnetic moment (g − 2)μ. An interpretation of the recently measured excess in (g − 2)μ in terms of mSUGRA corrections implies a substantial supersymmetric enhancement of the branching ratio B(Bs → μ+μ−): if (g−2)μ exceeds the Standard Model prediction by 3 ·10−9, B(Bs → μ+μ−) is larger by a factor of 100 than in the Standard Model and well within reach of Run-II of the Tevatron. Thus an experimental search for Bs → μ+μ− is a stringent test of the mSUGRA GUT scale boundary conditions. If the decay Bs → μ+μ− is observed at Run-II of the Tevatron, then we predict the mass of lightest supersymmetric Higgs boson to be less than 118 GeV. The decay Bs → μ+μ− can also significantly probe the favoured parameter range in SO(10) SUSY GUT models, possibly excluding them.