Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-08-28
Phys.Lett.B477:187-194,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 1 figure, LaTeX. Minor changes. To apper in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(00)00185-4
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.
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