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 [Formula presented]. 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, [Formula presented], so it can be incorporated easily in renormalization-group-improved tree-level amplitudes as well as higher-order calculations.
|Original language||English (US)|
|Number of pages||11|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - 1996|
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)