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In this work we revisit the existence of a strong first order electroweakphase transition (SFOEWPT) and recent $m_W$ precision measurement in the Type-Iand Type-II 2HDMs. The O(100) GeV new scalars in 2HDMs are favored by SFOEWPT,which is necessary for electroweak baryogenesis, and observed $m_W$ shift aswell. % We find that under current constraints, both Type-I and Type-II 2HDMcan explain the SFOEWPT, Z-pole, Higgs precision measurements and $m_W$precision measurement of CDF-II at same time, and all these precisionmeasurements are sensitive to heavy Higgs mass splitting in 2HDM. The allowedregions are $\Delta m_{A/C} \in (-400, 400) GeV, \tanb\in(1,50)$, and $\Deltam_{A/C} \in (-200, 300) GeV, \tanb\in(1,12)$ for Type-I and Type-II 2HDMrespectively. Furthermore future lepton collider measurements on Higgs and $Z$boson properties can explore this scenario in more detail or even rule out it.

Electroweak Phase Transition in 2HDM under Higgs, Z-pole, and W precision measurements