Speaker
Description
At electroweak scale there are two EFTs: SMEFT and HEFT. In SMEFT, the Higgs and Goldstones are linearly realized around the vacuum expectation value. In HEFT, they are non-linearly realized and the Goldstones are encapsulated in an exponential matrix. HEFT encompasses SMEFT. Through matching a UV model to both EFTs, we study their distinctions. For general scalar extensions of the SM, there commonly exists another VEV source, which cause the matching between HEFT and UV model become complicated if we start from the UV model's linear form. We thus build a non-linear representation, in which the Goldstones' exponential matrix are separate from heavy states, so that to "integrate out" heavy states in UV model and get a HEFT becomes straightforward. Under this non-linear representation we firstly give a matching between HEFT and a real Higgs triplet extension of the SM.
