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

Abstract

We apply Pade summation to the β(λ) function for the quartic Higgs coupling λin the standard electroweak model. We use the βfunction 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 βis known to three loops. We conclude that the OMS βfunction and the running coupling λ(μ) are reliably known over the range of energies and Higgs-boson masses of current interest.

14 pages, RevTeX, 6 figures

References in corpus (6)

• Five-loop renormalization group functions of $O(n)$-symmetric ${\varphi }^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$
• Two--loop heavy Higgs corrections to the Higgs fermionic width
• Two-loop unitarity constraints on the Higgs boson coupling
• Higgs Sector Renormalization Group in the MS-bar and OMS Scheme
• Two-loop $\mathrm{O}\left(G_F^2{M}_H^4\right)$ corrections to the fermionic decay rates of the Higgs boson
• The Goldstone boson equivalence theorem with fermions

Cited by in corpus (2)

• Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function
• Resummation of QED Perturbation Series by Sequence Transformations and the Prediction of Perturbative Coefficients