Consistency of LEP Event Excesses with an $h\to aa$ Decay Scenario and Low-Fine-Tuning NMSSM Models

We examine the final LEP limits for the $Zh\to Zaa\to Zb\anti b b\anti b$ and $Zh\to Zb\anti b$ final states and find that the excess of observed events for $\mh\sim 105\gev$ found in both data sets correlates well with there being an $\mh\sim 105\gev$ Higgs boson with SM-like $ZZh$ coupling that decays partly via $h\to b\anti b+\tauptaum$ [with $\br(h\to b\anti b)\sim 0.2$] but dominantly via $h\to aa$ [with $\ma\sim 30-45\gev$ and $\br(h\to aa)\sim 0.75$] and with the CP-odd $a$ decaying to $b\anti b+\tauptaum$ [with $\br(a\to b\anti b)\sim 0.93$]. We note that this type of scenario is precisely of the type found in the Next-to-Minimal Supersymmetric Model for parameter choices yielding the lowest possible fine-tuning.