The paper constructs a non-linear 'U representation' that separates Goldstone bosons from heavy scalars, enabling straightforward tree-level HEFT matching for general scalar extensions and giving explicit formulas for real and complex multiplets.
Non-decoupling effects of the Standard Model Higgs boson to one loop
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abstract
We study the complete non-decoupling effects of the standard model Higgs boson to one loop. Using effective field theory methods, we integrate out the Higgs boson and represent its non-decoupling effects by a set of gauge invariant effective operators of the electroweak chiral Lagrangian. In a previous work, we analyzed the non-decoupling effects in the two and three point Green's functions of gauge fields. We complete here the calculation of the chiral effective operators by analyzing the four point functions. We discuss in detail the relation between the renormalization of both the standard model and the effective theory, which is crutial for a correct understanding and use of the electroweak chiral Lagrangian. Some examples have been chosen to show the applicability of this effective Lagrangian approach in the calculation of low energy observables in electroweak theory.
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A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching
The paper constructs a non-linear 'U representation' that separates Goldstone bosons from heavy scalars, enabling straightforward tree-level HEFT matching for general scalar extensions and giving explicit formulas for real and complex multiplets.