RT Journal Article T1 Matching the 2HDM to the HEFT and the SMEFT: Decoupling and perturbativity A1 Dawson, Sally A1 Fontes, Duarte A1 Quezada Calonge, Carlos Ariel A1 Sanz Cillero, Juan José AB 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. PB American Physical Society SN 2470-0010 YR 2023 FD 2023-09-29 LK https://hdl.handle.net/20.500.14352/102611 UL https://hdl.handle.net/20.500.14352/102611 LA eng NO 2023 Descuento SCOAP NO United States Department of Energy NO Ministerio de Economía y Competitividad (España) NO Ministerio de Ciencia e Innovación (España) NO Universidad Complutense de Madrid DS Docta Complutense RD 9 abr 2025