Dawson, SallyFontes, DuarteQuezada Calonge, Carlos ArielSanz Cillero, Juan José2024-04-032024-04-032023-09-292470-001010.1103/PhysRevD.108.055034https://hdl.handle.net/20.500.14352/1026112023 Descuento SCOAPWe 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Matching the 2HDM to the HEFT and the SMEFT: Decoupling and perturbativityjournal article2470-0029https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.055034https://arxiv.org/abs/2305.07689open access539.1Higgs bosonsEffective field theoryStandard ModelPartículas2212.02 Partículas Elementales