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A Combination of CDF and DØ Limits on the Branching Ratio of B 0 s ( d ) → μ + μ − Decays

We combine the results of CDF and DØ searches for the rare decays B0 s → μ+μ− and B0 d → μ+μ−. The experiments use 364 pb and 300 pb of data respectively. The limits on the branching ratios are obtained by normalizing the estimated sensitivity to the decay B+ → J/ψK+ taking into account the fragmentation ratios fu/fs(d). The combined results exclude branching ratios of BR(B0 s → μ+μ−) > 1.5 × 10−7 and BR(B0 d → μ+μ−) > 4.0 × 10−8 at 95% confidence level. These are the most stringent limits on these decays at the present time.