Higgs boson decay in the large N limit
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The Equivalence Theorem is commonly used to calculate perturbatively amplitudes involving gauge bosons at energy scales higher than gauge boson masses. However, when the scalar sector is strongly interacting the theory is non-perturbative. We show that the Equivalence Theorem holds in the large N limit at next-to-leading order by calculating the decay widths h -> W^{+}W^{-} and h->π^{+}π^{-}. We also show, in the same scheme of calculations, that unitarity is fulfilled for the process h->π^{+}π^{-}.
20 pages, Title changed, input parameters updated, version to appear in the Brazilian Journal of Physics
20 pages, Title changed, input parameters updated, version to appear in the Brazilian Journal of Physics