Two-Higgs-Doublet type-II and -III models and $t\to c h$ at the LHC

Understand

We study the constraints of the generic two-Higgs-doublet model (2HDM) type-III and the impacts of the new Yukawa couplings.

• For comparisons, we revisit the analysis in the 2HDM type-II.
• To understand the influence of all involving free parameters and to realize their correlations, we employ $\chi$-square fitting approach by including theoretical and experimental constraints, such as S, T, and U oblique parameters, the production of standard model Higgs and its decay to $\gamma\gamma$, $WW^*/ZZ^*$, $\tau^+\tau^-$, etc.
• The errors of analysis are taken at $68\%$, $95.5\%$, and $99.7\%$ confidence levels.