One-loop WLWL and ZLZL scattering from the electroweak Chiral Lagrangian with a light Higgs-like scalar

Abstract

By including the recently discovered Higgs-like scalar phi in the Electroweak Chiral Lagrangian, and using the Equivalence Theorem, we carry out the complete one-loop computation of the elastic scattering amplitude for the longitudinal components of the gauge bosons V = W, Z at high energy. We also compute phi phi -> phi phi and the inelastic process V V -> phi phi, and identify the counterterms needed to cancel the divergences, namely the well known a(4) and a(5) chiral parameters plus three additional ones only superficially treated in the literature because of their dimension 8. Finally we compute all the partial waves and discuss the limitations of the one-loop computation due to only approximate unitarity.