On the position of a heavy Higgs pole

Details On the position of a heavy Higgs pole On the position of a heavy Higgs pole

1996-11-18

arxiv.org/abs/hep-ph/9611357v2

Phys.Lett. B394 (1997) 139-146

Physics

High Energy Physics

High Energy Physics - Phenomenology

replaced by the published version, 12 pages LaTex, 3 eps figures included

Scientific paper

10.1016/S0370-2693(96)01693-0

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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