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We discuss the validity of the Standard Model Effective Field Theory (SM EFT)as the low-energy effective theory for the two-Higgs-doublet Model (2HDM).Using the up-to-date Higgs signal strength measurements at the LHC, one canobtain a likelihood function for the Wilson coefficients of dimension-6operators in the EFT Lagrangian. Given the matching between the 2HDM and theEFT, the constraints on the Wilson coefficients can be translated intoconstraints on the parameters of the 2HDM Lagrangian. We discuss under whichconditions such a procedure correctly reproduces the true limits on the 2HDM.Finally, we employ the SM EFT to identify the pattern of the Higgs bosoncouplings that are needed to improve the fit to the current Higgs data. To thisend, one needs, simultaneously, to increase the top Yukawa coupling, decreasethe bottom Yukawa coupling, and induce a new contact interaction of the Higgsboson with gluons. We comment on how these modifications can be realized in the2HDM extended by new colored particles.

Higgs EFT for 2HDM and beyond