Comment on "New constraints of a light CP-odd Higgs boson and related NMSSM Ideal Higgs Scenarios" by Dermisek and Gunion (arXiv:1002.1971 [hep-ph])

TL;DR

This paper critiques recent constraints on a light CP-odd Higgs in the NMSSM, emphasizing the importance of considering eta_b mixing and proposing alternative experimental approaches for detection.

Contribution

It highlights the need for careful analysis within a narrow mass window and suggests lepton universality tests and bottomonium spectrum studies as alternative detection methods.

Findings

Eta_b mixing affects light Higgs constraints.

Lepton universality tests can signal Higgs presence.

Bottomonium spectrum distortions offer alternative detection.

Abstract

In two recent papers (arXiv:1002.1971 [hep-ph] and arXiv:0911.2460 [hep-ph]) Dermisek and Gunion provide new constraints on a light CP-odd Higgs boson in the framework of the NMSSM (or similar models) based on experimental data from LEP, CLEO, BaBar and CDF experiments. In this brief comment we argue that special care is still needed inside a narrow mass window where mixing with $\eta_b$ resonances below $B\bar{B}$ can occur. We also stress that observables testing lepton universality and a possible distorsion of the bottomonium mass spectrum can provide an alternative analysis at (Super) B-factories in the search of such an elusive light pseudoscalar Higgs-like object.