Consistent Use of the Standard Model Effective Potential
Open accessAbstract
The stability of the standard model is determined by the true minimum of the effective Higgs potential. We show that the potential at its minimum when computed by the traditional method is strongly dependent on the gauge parameter. It moreover depends on the scale where the potential is calculated. We provide a consistent method for determining absolute stability independent of both gauge and calculation scale, order by order in perturbation theory. This leads to a revised stability bounds m(h)(pole)>(129.4±2.3) GeV and m(t)(pole)<(171.2±0.3) GeV. We also show how to evaluate the effect of new physics on the stability bound without resorting to unphysical field values.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The critical Higgs mass below which the Standard Model Higgs potential becomes unstable is gauge-independent.
“The critical Higgs mass below which the SM Higgs potential becomes unstable is gaugeindependent;”
From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [34]
The instability scale h_max, defined as the Higgs field value at which V_eff(h) is maximal, is gauge-dependent.
“however the instability scale of the SM potential, e.g.h max , defined as the Higgs field value at which V eff (h) is maximal, is gauge-dependent (as recently emphasised in [32][33][34]).”
From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [34]
The citation lists haven’t been fetched yet
References 27 · Cited by 133
- Authors
- Andreassen, A., Frost, W., & Schwartz, M. D.
- Affiliations
- Harvard University (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-12-08
- Volume
- 113
- Issue
- 24
- Pages
- 241801-241801
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2041378176
- Cited by
- 133
- References
- 27
- Citations by year
- 2026: 7 · 2025: 8 · 2024: 5 · 2023: 12 · 2022: 7 · 2021: 7 · 2020: 7 · 2019: 12 · 2018: 19 · 2017: 10 · 2016: 13 · 2015: 26
- FWCI
- 7.20
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DE-SC003916)
- American-Scandinavian Foundation
- Norway-America Association
- Stolt-Nielsen Fund for Education Fellowship
- Lord Rutherford Memorial Research Fellowship
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Mathematical Theories and Applications
- Keywords
- Higgs potential, effective potential, vacuum stability, Standard Model, gauge dependence, scale dependence, top quark pole mass, new physics effects
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
