Asymmetric di-Higgs signals of the next-to-minimal 2HDM with a U(1) symmetry

Abstract

The two-Higgs-doublet model with a $U(1{)}_{H}$ gauge symmetry (N2HDM-$U(1)$) has several advantages compared to the ``standard'' ${Z}_{2}$ version (N2HDM-${Z}_{2}$): It is purely based on gauge symmetries, involves only spontaneous symmetry breaking, and is more predictive because it contains one parameter less in the Higgs potential, which further ensures $CP$ conservation, i.e., avoiding the stringent bounds from electric dipole moments. After pointing out that a second, so far unknown version of the N2HDM-$U(1)$ exists, we examine the phenomenological consequences for the Large Hadron Collider (LHC) of the differences in the scalar potentials. In particular, we find that while the N2HDM-${Z}_{2}$ predicts suppressed branching ratios for decays into different Higgs bosons for the case of the small scalar mixing (as suggested by Higgs coupling measurements), both versions of the N2HDM-$U(1)$ allow for sizable rates. This is particularly relevant in light of the CMS excess in resonant Higgs-pair production at around 650 GeV of a Standard Model Higgs boson subsequently decaying to photons and a new scalar with a mass of $\ensuremath{\approx}90\text{ }\text{ }\mathrm{GeV}$ subsequently decaying to bottom quarks (i.e., compatible with the CMS and ATLAS $\ensuremath{\gamma}\ensuremath{\gamma}$ excesses at 95 GeV and $\ensuremath{\approx}670\text{ }\text{ }\mathrm{GeV}$). As we will show, this excess can be addressed within the N2HDM-$U(1)$ in case of a nonminimal Yukawa sector, predicting an interesting and unavoidable $Z+b\overline{b}$ signal and motivating further asymmetric di-Higgs searches at the LHC.