Can the Higgs sector contribute significantly to the muon anomalous magnetic moment

A light CP-even Higgs boson (h) with a mass of about 10 GeV could explain the recent BNL measurement of the muon anomalous magnetic moment, in the framework of a general CP-conserving two-Higgs-doublet extension of the Standard Model with no tree-level flavor-changing neutral Higgs couplings. However, the allowed Higgs mass window is quite small and the corresponding model parameters are very constrained. The Higgs sector can contribute significantly to the observed BNL result for g-2 without violating known experimental constraints only if the hZZ coupling (approximately) vanishes and m_h lies between the Upsilon mass and 2m_B.