Is there a light fermiophobic Higgs ?

TL;DR

This paper explores the phenomenology of two variants of the Two Higgs Doublet Model, analyzing how different potential restrictions affect Higgs couplings and decay processes, and discusses the potential existence of a light fermiophobic Higgs.

Contribution

It introduces two different restricted potentials within the 2HDM framework and compares their phenomenological implications, especially on Higgs decay widths and couplings.

Findings

Different trilinear and quartic Higgs couplings in the two models.

Variation in the decay width of h^0 → γγ due to charged Higgs loops.

Discussion on the feasibility of a light fermiophobic Higgs.

Abstract

The most general Two Higgs Doublet Model potential without explicit CP violation depends on 10 real independent parameters. There are two different ways of restricting this potential to 7 independent parameters. This gives rise to two different potentials, $V_{(A)}$ and $V_{(B)}$. The phenomenology of the two models is different, because some trilinear and quartic Higgs couplings are different. As an illustration, we calculate the decay width of $h^0 \to \gamma \gamma$, where precisely due to the different trilinear couplings the loop of the charged Higgs gives different contributions. We also discuss the possibility for the existence of a light fermiophobic Higgs.