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We derive a nonperturbative result for the Higgs propagator by calculatingthe NLO correction in the 1/N expansion of O(N) sigma models. For dealing withthe 1/N expansion beyond leading order, we develop techniques to calculatecertain infinite sets of multiloop Feynman diagrams. We then calculate theHiggs lineshape in fermion scattering, as seen for instance at a muon collider.We compare with the existing two-loop perturbative results. There is aconsiderable discrepancy between perturbation theory and the 1/N expansion inLO. By including the NLO correction, this discrepancy is reduced dramatically.The results are in very good agreement with the two-loop result even for massesas high as 850 GeV. A maximum of the mass is reached at 930 GeV. Forphenomenological purposes, we give a simple approximate relation between theHiggs mass and width.Comment: late

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Nonperturbative Higgs propagator: NLO correction in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:math>expansion

Nonperturbative Higgs propagator: NLO correction in the1/Nexpansion