Light Higgs in the Georgi Machacek Model: neutral or charged?

Abstract

The ATLAS and CMS experiments at the LHC, as well as the LEP and Tevatron, observed the existence of a light SM-like Higgs boson with mass about 95 GeV. These experiments also record the evidences of a light charged Higgs boson with mass less than the top-quark mass. The Georgi-Machacek (GM) model consists of six charged Higgs, one CP-odd and one CP-even Higgs besides the SM Higgs and the SM-like Higgs bosons. Considering the theoretical constraints along with the $\sqrt{s}=13$ TeV Higgs signal strengths, this paper shows that the presence of the 95 GeV SM-like Higgs boson disfavours the presence of the other eight low-mass (below $160$ GeV) Higgs. This also triggers a high triplet vev above $40$ GeV.