Probing loop effects in wrong-sign Yukawa coupling region of Type-II 2HDM

In the framework of 2HDM, we explore the wrong-sign Yukawa region with direct and indirect searches up to one-loop level. The direct searches include the latest $$H/A \rightarrow f{\bar{f}}, VV, Vh, hh$$ reports at current LHC, and the study of indirect Higgs precision measurements works with current LHC, future HL-LHC and CEPC. At tree level of Type-II 2HDM, for degenerate heavy Higgs mass $$m_A=m_H=m_{H^\pm }<800$$ GeV, the wrong-sign Yukawa regions are excluded largely except for the tiny allowed region around $$\cos (\beta -\alpha )\in (0.2,0.3)$$ under the combined Higgs constraints. The excluded region is also nearly independent of parameter $$m_{12}$$ or $$\lambda v^2=m_A^2-m_{12}^2/(\sin \beta \cos \beta )$$ . The situation changes a lot after including loop corrections to the indirect searches, for example $$m_A=1500 \text {~GeV}$$ , the region with $$\lambda v^2<0$$ will be stronger constrained to be totally excluded. Whilst parameter space with $$\lambda v^2>0$$ would get larger survived wrong-sign region for $$m_A=800 ~\text {~GeV}$$ compared to it at tree level. We also conclude Higgs direct searches works better on constraining $$\lambda v^2 \approx 0$$ GeV range than theoretical constraints. We also find that the loop-level wrong-sign Yukawa limit only occurs at mass decoupling scale.