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Search for di-muon decays of a low-mass Higgs boson in radiative decays of the Υ(1S)

We search for di-muon decays of a low-mass Higgs boson (A^0) produced in radiative Υ(1S) decays. The Υ(1S) sample is selected by tagging the pion pair in the Υ(2S, 3S) \to π^+ π^- Υ(1S) transitions, using a data sample of 92.8 \times 10^6 Υ(2S) and 116.8 \times 10^6 Υ(3S) events collected by the \babar\ detector. We find no evidence for A^0 production and set 90% confidence level upper limits on the product branching fraction \mathcal{B} (Υ(1S) \to γA^0) \times \mathcal{B} (A^0 \to \mumu) in the range of (0.28 - 9.7) \times 10^{-6} for 0.212 \le m_{A^0} \le 9.20 GeV/c^2. The results are combined with our previous measurements of Υ(2S,3S) \to γA^0, A^0 \to \mumu to set limits on the effective coupling of the \b-quark to the A^0.