Strong first order electroweak phase transition in 2HDM confronting future Z & Higgs factories

Abstract

The electroweak phase transition can be made first order by extending the Standard Model (SM) Higgs sector with extra scalars. The same new physics can explain the matter-antimatter asymmetry of the universe by supplying an extra source of CP violation and sphaleron processes. In this paper we study the existence of a strong first order electroweak phase transition (SFOEWPT) in the type-I and type-II two Higgs doublet models (2HDM). We focus on how the SFOEWPT requirement constraints the spectrum of non-SM Higgs. Through a parameter space scan, we find that SFOEWPT suggests upper limits on the masses of heavy Higgs $m_{A/H/H^\pm}$, which is less than 1 TeV. High temperature expansion and Higgs vacuum uplifting is used for an analytical understanding of our results. We also study the probe ability on SFOEWPT from Higgs and $Z$-pole precision measurements at the one-loop level at future Higgs & $Z$ factories. And together with theoretical constraints, sizeable loop corrections require $m_A \approx m_{H^\pm} > m_H$ to meet SFOEWPT condition in Type-II 2HDM.