Probing NMSSM Scenarios with Minimal Fine-Tuning by Searching for Decays of the Upsilon to a Light CP-Odd Higgs Boson
Abstract
Completely natural electroweak symmetry breaking is easily achieved in supersymmetric models if there is a SM-like Higgs boson,
h
, with $m_h\lsim 100\gev$. In the minimal supersymmetric model, such an
h
decays mainly to $b\anti b$ 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
<2
m
b
, then the LEP constraints are satisfied. In this letter, 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 $BR(\Upsilon\to \gam a)$ that dedicated runs at present (and future)
B
factories can explore.