  A non-standard CP-odd Higgs boson could induce a slight (but observable)
lepton universality breaking in Upsilon leptonic decays. Moreover, mixing
between such a pseudoscalar Higgs boson and $\eta_b$ states might shift their
mass levels, thereby modifying the values of the
$M_{\Upsilon(nS)}-M_{\eta_b(nS)}$ hyperfine spplitings predicted in the
standard model. Besides, $\eta_b$ resonances could be broader than expected
with potentially negative consequences for discovery in both $e^+e^-$ and
hadron colliders. A scenario with a CP violating Higgs sector is also
considered. Finally, further strategies to search for a light Higgs particle in
bottomonium decays are outlined.
