Perturbative reliability of the Higgs-boson coupling in the standard electroweak model

Details Perturbative reliability of the Higgs-boson coupling in the standard electroweak model Perturbative reliability of the Higgs-boson coupling in the standard electroweak model

1998-04-22

arxiv.org/abs/hep-ph/9804362v1

Phys.Rev. D58 (1998) 113002

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, RevTeX, 6 figures

Scientific paper

10.1103/PhysRevD.58.113002

We apply Pade summation to the \beta(\lambda) function for the quartic Higgs coupling \lambda in the standard electroweak model. We use the \beta function calculated to five loops in the minimal subtraction scheme to demonstrate the improvement resulting from the summation, and then apply the method to the more physical on-mass-shell renormalization scheme where \beta is known to three loops. We conclude that the OMS \beta function and the running coupling \lambda(\mu) are reliably known over the range of energies and Higgs-boson masses of current interest.

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