Resolution of the lambda Phi^4 Puzzle and a 2 Tev Higgs Boson

dc.creatorConsoli, M.
dc.creatorStevenson, P. M.
dc.date1993-03-14
dc.date1993-08-03
dc.date.accessioned2026-07-07T08:59:49Z
dc.date.available2026-07-07T08:59:49Z
dc.descriptionWe argue that massless (lambda Phi^4)_4 is "trivial" without being entirely trivial. It has a non-trivial effective potential which leads to spontaneous symmetry breaking, but the particle excitations above the broken vacuum are non-interacting. The key to this picture is the realization that the constant background field (the mode with zero 4-momentum) renormalizes differently from the fluctuation field (the finite-momentum modes). This picture reconciles rigorous results and lattice calculations with one-loop and Gaussian-approximation analyses. Because of "triviality", these latter two methods should be effectively exact. Indeed, they yield the same renormalized effective potential and the same relation m_h^2 = 8 pi^2 v^2 between the particle mass and the physical vacuum expectation value. This relation predicts a Higgs mass m_h about 2 TeV in the standard model. The non-interacting nature of the scalar sector implies, by the equivalence theorem, that Higgs and gauge bosons interact only weakly, through their gauge and Yukawa couplings.
dc.description(Revised and expanded version) 18 pages, LaTeX, DE-FG05-92ER40717-5
dc.identifierhttps://arxiv.org/abs/hep-ph/9303256
dc.identifierhttp://arxiv.org/abs/hep-ph/9303256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147851
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.titleResolution of the lambda Phi^4 Puzzle and a 2 Tev Higgs Boson
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