Non-decoupling effects of the SM Higgs boson to one loop Original Research Article

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 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 crucial 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.