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

preprint1999arXivOpen access

Abstract

We have studied the strongly interacting WLWL→WLWLW_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 mH<<4πvm_H<< 4πv and mH>>4πvm_H>> 4 πv are considered in detail. It is shown that in the latter situation a state appears with a mass ≲1\lesssim 1 TeV. This state is dynamically generated through the strong interactions between the WLW_L and is not responsible for the spontaneous electroweak symmetry breaking. However, its shape can be very similar to that of the mH≲1m_H\lesssim 1 TeV case, which corresponds to a conventional heavy Higgs boson.

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