Testing nonperturbative techniques in the scalar sector of the standard model

Abstract

We discuss the current picture of the standard model's scalar sector at strong coupling. We compare the pattern observed in the scalar sector in perturbation theory up to two-loop with the nonperturbative solution obtained by a next-to-leading order 1/N expansion. In particular, we analyze two resonant Higgs scattering processes, ff -> H -> f'f' and ff -> H -> ZZ, WW. We describe the ingredients of the nonperturbative calculation, such as the tachyonic regularization, the higher order 1/N intermediate renormalization, and the numerical methods for evaluating the graphs. We discuss briefly the perspectives and usefulness of extending these nonperturbative methods to other theories.

References in corpus (8)

• Differences Between the Pole and On-Shell Masses and Widths of the Higgs Boson
• Mass and Width of a Heavy Higgs Boson
• Nonperturbative Higgs propagator: NLO correction in the 1/N expansion
• Radiative corrections to the lineshape of a heavy Higgs boson at muon colliders
• New developments in the 1/N expansion and nonperturbative Higgs physics
• NLO correction to Higgs boson parameters in the 1/N expansion
• Higgs mass saturation effect and the LHC discovery potential
• The Higgs resonance in vector boson scattering

Cited by in corpus (6)

• The ground state in a spin-one color superconductor
• Electromagnetic Meissner effect in spin-one color superconductors
• Light Higgs bosons from a strongly interacting Higgs sector
• Resummed corrections to the ρparameter due to a finite width of the top quark
• Resummed corrections to the ρparameter in the complex mass scheme
• Heavy top renormalon contribution to fermion propagators