The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
Open accessAbstract
We perform a manifestly gauge-independent analysis of the vacuum stability in the standard model including two-loop matching, three-loop renormalization group evolution, and pure QCD corrections through four loops. All these ingredients are exact, except that light-fermion masses are neglected. We in turn apply the criterion of nullifying the Higgs self-coupling and its beta function in the modified minimal-subtraction scheme and a recently proposed consistent method for determining the true minimum of the effective Higgs potential that also avoids gauge dependence. Exploiting our knowledge of the Higgs-boson mass, we derive an upper bound on the pole mass of the top quark by requiring that the standard model be stable all the way up to the Planck mass scale and conservatively estimate the theoretical uncertainty. This bound is compatible with the Monte Carlo mass quoted by the Particle Data Group at the 1.3σ level.
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Aad, G., Abajyan, T., Abbott, B., Abdallah, J., Abdel Khalek, S., Abdelalim, A. A., Abdinov, O., Aben, R., Abi, B., Abolins, M., et al. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.08.020 · Cited by 10,526
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
Chatrchyan, S., Khachatryan, V., Sirunyan, A. M., Tumasyan, A., Adam, W., Aguilo, E., Bergauer, T., Dragicevic, M., Erö, J., Fabjan, C., et al. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.08.021 · Cited by 9,874
Olive, K. A. (2014) · Chinese Physics C · doi:10.1088/1674-1137/38/9/090001 · Cited by 6,897
Higgs mass and vacuum stability in the Standard Model at NNLO
Degrassi, G., Di Vita, S., Elias-Miró, J., Espinosa, J. R., Giudice, G. F., Isidori, G., & Strumia, A. (2012) · Journal of High Energy Physics · doi:10.1007/jhep08(2012)098 · Cited by 1,524
The four-loop β-function in quantum chromodynamics
van Ritbergen, T., Vermaseren, J. A. M., & Larin, S. A. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)00370-5 · Cited by 1,096
Investigating the near-criticality of the Higgs boson
Buttazzo, D., Degrassi, G., Giardino, P. P., Giudice, G. F., Sala, F., Salvio, A., & Strumia, A. (2013) · Journal of High Energy Physics · doi:10.1007/jhep12(2013)089 · Cited by 1,095
The four-loop QCD β-function and anomalous dimensions
Czakon, M. (2005) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2005.01.012 · Cited by 565
Higgs boson mass and new physics
Bezrukov, F., Kalmykov, M. Y., Kniehl, B. A., & Shaposhnikov, M. (2012) · Journal of High Energy Physics · doi:10.1007/jhep10(2012)140 · Cited by 546
Self-citationThe three-loop relation between the and the pole quark masses
Melnikov, K., & Ritbergen, T. V. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00507-4 · Cited by 478
On the gauge dependence of spontaneous symmetry breaking in gauge theories
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A Casimir turning point as the beginning of a small flat universe
Zhang, A. (2026) · arXiv · doi:10.48550/arxiv.2610.24905
“[3] for their inputs, M h = 125 .”
Influential
Metadata
- Authors
- Bednyakov, A. V., Kniehl, B. A., Pikelner, A. F., & Veretin, O. L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2015-11-09
- Volume
- 115
- Issue
- 20
- Pages
- 201802-201802
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2108337196
- Cited by
- 263
- References
- 37
- FWCI
- 16.85
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Bednyakov, A. V., Kniehl, B. A., Pikelner, A. F., & Veretin, O. L. (2015). Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision. Physical Review Letters. https://doi.org/10.1103/physrevlett.115.201802
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