On the position of a heavy Higgs pole

Abstract

Higher loop calculations in the Higgs sector of the standard model at the Higgs mass scale have shown that perturbation theory diverges very badly at about 1 TeV in the on-shell renormalization scheme. The prediction of the position of the Higgs pole in the complex s-plane becomes unreliable. We show that in the pole renormalization scheme this appears to have much better convergence properties, while showing good agreement with the on-shell scheme over the validity range of the latter. This suggests that the pole scheme should be preferable for phenomenological studies of heavy Higgs bosons. We discuss whether this behaviour can be the result of a certain relation between the on-shell mass and the pole mass at the nonperturbative level.

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References in corpus (7)

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• Higgs Pseudo-Observables, Second Riemann Sheet and All That
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• Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory
• Mass and Width of a Heavy Higgs Boson
• Radiative corrections to the lineshape of a heavy Higgs boson at muon colliders
• Higgs mass saturation effect and the LHC discovery potential
• Testing nonperturbative techniques in the scalar sector of the standard model
• The Higgs resonance in vector boson scattering