Year: 1997
Type: article
Abstract: Previous work has suggested that perturbation theory is unreliable for Higgs- and Goldstone-boson scattering, at energies above the Higgs-boson mass, for relatively small values of the Higgs quartic coupling $\ensuremath{\lambda}(\ensuremath{\mu})$. By performing a summation of nonlogarithmic terms, we show that perturbation theory is in fact reliable up to relatively large coupling. This eliminates the possibility of a strongly interacting standard Higgs model at energies above the Higgs-boson mass, complementing earlier studies which excluded strong interactions at energies near the Higgs-boson mass. The summation can be formulated in terms of an appropriate scale in the running coupling, $\ensuremath{\mu}=\sqrt{s}/e\ensuremath{\approx}\sqrt{s}/2.7$, so it can be incorporated easily in renormalization-group-improved tree-level amplitudes as well as higher-order calculations.
Authors: K. Riesselmann, S. Willenbrock
Institution: Technical University of Munich
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1968431456