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Cited by 70Particle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsAdvanced Mathematical Theories and Applications

On the gauge dependence of the Standard Model vacuum instability scale

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Di Luzio, Luca, Mihaila, Luminita·2014·Journal of High Energy Physics
DOI 10.1007/jhep06(2014)079
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Abstract

After reviewing the calculation of the Standard Model one-loop effective potential in a class of linear gauges, we discuss the physical observables entering the vacuum stability analysis. While the electroweak-vacuum-stability bound on the Higgs boson mass can be formally proven to be gauge independent, the field value at which the effective potential turns negative (the so-called instability scale) is a gauge dependent quantity. By varying the gauge-fixing scheme and the gauge-fixing parameters in their perturbative domain, we find an irreducible theoretical uncertainty of at least two orders of magnitude on the scale at which the Standard Model vacuum becomes unstable.

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Crossref · 10.1007/jhep06(2014)079

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  • 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 [32]

  • 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 [32]

  • The order-of-magnitude gauge dependence of h_max found in [32] disappears because it is almost entirely due to the RG factor Γ.

    “The order-of-magnitude gauge dependence of h max found in [32] disappears because it is almost entirely due to the RG factor Γ.”

    From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [32]

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Authors
Di Luzio, L., & Mihaila, L.
Affiliations
Karlsruhe Institute of Technology (DE)
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2014-06
Volume
2014
Issue
6
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep06(2014)079
OpenAlex
W2095198080
Cited by
70
References
41
Citations by year
2026: 5 · 2025: 5 · 2023: 4 · 2022: 2 · 2021: 7 · 2020: 1 · 2019: 3 · 2018: 11 · 2017: 6 · 2016: 9 · 2015: 14 · 2014: 3
FWCI
4.70
Type
journal article
Language
en
Open access
Licence
cc-by
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • Padua Research Archive (University of Padova) (submittedVersion, cc-by)
  • arXiv (Cornell University)
Funders
Deutsche Forschungsgemeinschaft (SFB TR/9)
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
gauge dependence, one-loop effective potential, gauge-fixing parameter, Higgs mass limits, electroweak vacuum, theoretical uncertainties

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