The effective potential and the renormalisation group

1992/10/27 by C. Ford, D. R. T. Jones, D.R.T. Jones +4 · 317 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Context (archaeology) #Electroweak interaction #Group (periodic table) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Scalar potential #Stability (learning theory) #Upper and lower bounds #hep-lat #hep-ph

paper · pdf · doi:10.1016/0550-3213(93)90206-5

published in Nuclear Physics B 395(1-2), 17-34 (Elsevier BV) · 22 pages plus three PostScript figures (appended), Liverpool preprint LTH 288, University of Michigan preprint UM-TH-92-21

arxiv created 1992/10/27 · openalex publication_date 1993/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We discuss renormalisation group improvement of the effective potential both in general and in the context of O(N) scalar \p⁴ and the Standard Model. In the latter case we find that absolute stability of the electroweak vacuum implies that m_H≥ 1.95m_t-189~GeV, for \as (M_Z) = 0.11. We point out that the lower bound on m_H \it decreases\/ if \as (M_Z) is increased.

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