Higgs physics in the large N limit

Abstract

In this paper we study the large N limit of the Standard Model Higgs sector with N lambda, Ng(2) and Ng('2) constant and N being the number of would-be Goldstone bosons, Despite the simplicity of this method at leading order, its results satisfy simultaneously important requirements such as unitarity and the low-energy theorems in contrast with other more conventional approaches. Moreover, it is fully compatible with the Equivalence Theorem and it yields a consistent description of the Higgs boson mass and width, Finally we have also included a phenomenological discussion concerning the applications of this method to the LHC.