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Higgs vacua with potential barriers

2014/04/30 by Carlos Tamarit
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Electroweak interaction #Gauge (firearms) #Higgs boson #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Singlet state #Standard Model (mathematical formulation) #Symmetry breaking #hep-ph

paper · pdf · doi:10.1103/physrevd.90.055024

published as Phys. Rev. D 90, 055024 (2014) · 31 pages, 8 figures. V2. Comments and references added. V3. Journal version: the title was changed to comply with the journal's guidelines, further comments and references were added

openalex publication_date 2014/09/23 · arxiv created 2014/09/29 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Scenarios in which the Higgs vacuum arises radiatively and is separated from the origin by a potential barrier at zero temperature are known to be attainable in models with extra singlet scalars, which in the limit of zero barrier height give rise to Coleman-Weinberg realizations of electroweak-symmetry breaking. However, this requires large values of Higgs-portal couplings or a large number N of singlets. This is quantified in detail by considering, for varying N, the full two-loop effective potential at zero temperature, as well as finite-temperature effects including the dominant two-loop corrections due to the singlets. Despite the large couplings, two-loop effects near the electroweak scale are under control, and actually better behaved in models with larger couplings yet fewer singlets. Strong first-order phase transitions are guaranteed even in the Coleman-Weinberg scenarios. Cubic Higgs couplings and Higgs associated-production cross sections exhibit deviations from the standard model predictions which could be probed at a linear collider.

Citations