Phys. Rev. D 58, 113002 (1998) [8 pages]Perturbative stability of the Padé-summed Higgs-boson coupling in the standard electroweak modelReceived 21 April 1998; published 28 October 1998 We apply the Padé summation to the β(λ) function for the quartic Higgs coupling λ in the standard electroweak model. We use the β 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 β is known to three loops. We find that the apparent convergence of the perturbation series for β is significantly improved, and apply the result to the study of the running coupling λ(s). © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.58.113002
DOI:
10.1103/PhysRevD.58.113002
PACS:
12.15.-y, 11.10.Hi, 14.80.Bn
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