Probing next-to-minimal-supersymmetric models with minimal fine tuning by searching for decays of the Upsilon to a light CP-odd Higgs boson

Completely natural electroweak symmetry breaking is easily achieved in supersymmetric models if there is a SM-like Higgs boson, h, with m_h<~100 GeV. In the minimal supersymmetric model, such an h decays mainly to b[overline b] and is ruled out by LEP constraints. However, if the MSSM Higgs sector is expanded so that h decays mainly to still lighter Higgs bosons, e.g. h-->aa, with Br(h-->aa)>0.7, and if m_a<2m_b, then the LEP constraints are satisfied even if m_h<~100 GeV. In this paper, we show that in the next-to-minimal supersymmetric model the above h and a properties (for the lightest CP-even and CP-odd Higgs bosons, respectively) imply a lower bound on Br(Upsilon-->gammaa) that dedicated runs at present (and future) B factories can explore.

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