Stability of Subsequent-to-Leading-Logarithm Corrections to the Effective Potential for Radiative Electroweak Symmetry Breaking

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dc.creatorChishtie, F. A.
dc.creatorElias, V.
dc.creatorMann, R. B.
dc.creatorMcKeon, D. G. C.
dc.creatorSteele, T. G.
dc.date2005-09-13
dc.date2006-06-01
dc.date.accessioned2026-07-07T10:29:41Z
dc.date.available2026-07-07T10:29:41Z
dc.descriptionWe demonstrate the stability under subsequent-to-leading logarithm corrections of the quartic scalar-field coupling constant $λ$ and the running Higgs boson mass obtained from the (initially massless) effective potential for radiatively broken electroweak symmetry in the single-Higgs-Doublet Standard Model. Such subsequent-to-leading logarithm contributions are systematically extracted from the renormalization group equation considered beyond one-loop order. We show $λ$ to be the dominant coupling constant of the effective potential for the radiatively broken case of electroweak symmetry. We demonstrate the stability of $λ$ and the running Higgs boson mass through five orders of successively subleading logarithmic corrections to the scalar-field-theory projection of the effective potential for which all coupling constants except the dominant coupling constant $λ$ are disregarded. We present a full next-to-leading logarithm potential in the three dominant Standard Model coupling constants ($t$-quark-Yukawa, $α_s$, and $λ$) from these coupling constants' contribution to two loop $β$- and $γ$-functions. Finally, we demonstrate the manifest order-by-order stability of the physical Higgs boson mass in the 220-231 GeV range. In particular, we obtain a 231 GeV physical Higgs boson mass inclusive of the $t$-quark-Yukawa and $α_s$ coupling constants to next-to-leading logarithm order, and inclusive of the smaller $SU(2)\times U(1)$ gauge coupling constants to leading logarithm order.
dc.description21 pages, latex2e, 2 eps figures embedded in latex file. Updated version contains expanded analysis in Section 4
dc.identifierhttps://arxiv.org/abs/hep-ph/0509122
dc.identifierhttp://arxiv.org/abs/hep-ph/0509122
dc.identifierNucl.Phys.B743:104-132,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.03.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177889
dc.subjectHigh Energy Physics - Phenomenology
dc.titleStability of Subsequent-to-Leading-Logarithm Corrections to the Effective Potential for Radiative Electroweak Symmetry Breaking
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