%0 Journal Article
%A Dawson, Sally
%A Fontes, Duarte
%A Quezada Calonge, Carlos Ariel
%A Sanz Cillero, Juan José
%T Matching the 2HDM to the HEFT and the SMEFT: Decoupling and perturbativity
%D 2023
%@ 2470-0010
%U https://hdl.handle.net/20.500.14352/102611
%X We consider the 2 Higgs doublet model (2HDM) and compare two effective field theory (EFT) approaches to it, according to whether the heavy degrees of freedom are integrated out before [standard model EFT (SMEFT)] or after [Higgs EFT (HEFT)] spontaneous symmetry breaking. By requiring decoupling and perturbativity in the 2HDM, we define a consistent EFT expansion in inverse powers of the heavy masses which is applied to both the SMEFT and the HEFT tree-level matchings to the 2HDM. We organize this expansion with a dimensionless parameter ξ, and investigate the tree-level scatterings hh → hh and WW → hh up to Oðξ2Þ. We find no differences between the HEFT and the SMEFT approaches at this order. We show scenarios where even including dimension-8 operators of the SMEFT is insufficient to obtain an accurate matching to the 2HDM.
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