The Case of a WW Dynamical Scalar Resonance within a Chiral Effective Description of the Strongly Interacting Higgs Sector

Abstract

We have studied the strongly interacting $W_L W_L \to W_L W_L$ I=L=0 partial wave amplitude making use of effective chiral Lagrangians. The Higgs boson is explicitly included and the N/D method is used to unitarize the amplitude. We recover the chiral perturbative expansion at next to leading order for low energies. The cases $m_H<< 4\pi v$ and $m_H>> 4 \pi v$ are considered in detail. It is shown that in the latter situation a state appears with a mass $\lesssim 1$ TeV. This state is dynamically generated through the strong interactions between the $W_L$ and is not responsible for the spontaneous electroweak symmetry breaking. However, its shape can be very similar to that of the $m_H\lesssim 1$ TeV case, which corresponds to a conventional heavy Higgs boson.