New developments in the 1/N expansion and nonperturbative Higgs physics

Abstract

We show in this paper that the 1/N expansion is a reliable tool to calculate the properties of a heavy Higgs boson. The 1/N expansion sums up all orders in perturbation theory, and therefore avoids the renormalization scheme dependence of the conventional perturbative approach. It is explained how effects due to the Landau pole of the Higgs sector are isolated and subtracted, and how to perform actual calculations, by computing the Higgs line shape for the processes f\bar f\to H \to ZZ,f'\bar f' at next-to-leading order in the 1/N expansion. The results are compared to the perturbative results to show the agreement between the perturbative and the nonperturbative approach for Higgs masses up to 1 TeV. We conclude that the theoretical predictions for Higgs observables are well under control for the entire kinematical region of the LHC.

23 pages, latex, eps-figures included

References in corpus (4)

• The Role of M(W) in Precision Studies of the Standard Model
• Nonperturbative Higgs propagator: NLO correction in the 1/N expansion
• NLO correction to Higgs boson parameters in the 1/N expansion
• Higgs mass saturation effect and the LHC discovery potential

Cited by in corpus (9)

• Multi-Higgs boson production in the Standard Model and beyond
• Renormalized broken-symmetry Schwinger-Dyson equations and the 2PI-1/N expansion for the O(N) model
• Renormalized effective actions for the O(N) model at next-to-leading order of the 1/N expansion
• Phenomenology of the Basis-Independent CP-Violating Two-Higgs Doublet Model [Dissertation]
• Testing nonperturbative techniques in the scalar sector of the standard model
• Resummed corrections to the ρparameter due to a finite width of the top quark
• Resummed corrections to the ρparameter in the complex mass scheme
• Heavy top renormalon contribution to fermion propagators
• Loops and legs beyond perturbation theory