2005/09/30 by F. A. Chishtie, Farrukh Chishtie, V. Elias +4 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1016/j.nuclphysb.2006.03.005
published as Nucl.Phys.B743:104-132,2006 · 21 pages, latex2e, 2 eps figures embedded in latex file. Updated version contains expanded analysis in Section 4
openalex publication_date 2006/03/28 · arxiv created 2006/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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, αs, 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 αs coupling constants to next-to-leading logarithm order, and inclusive of the smaller SU(2)× U(1) gauge coupling constants to leading logarithm order.