Higgs Physics in the Large N limit

Abstract

In this paper we study the large N limit of the Standard Model Higgs sector with $N\lambda$, $N{g}^2$ and $N{g}^{\prime 2}$ 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.

Comments: 15 pages, 5 Figures, 3 .EPS files. Available at http://www-physics.lbl.gov/www/theorypapers/preprints.html