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Higgs boson mass and new physics

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Bezrukov, Fedor, Kalmykov, Mikhail Yu., Kniehl, Bernd A., Shaposhnikov, Mikhail·2012·Journal of High Energy Physics
DOI 10.1007/jhep10(2012)140
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Abstract

A bstractWe discuss the lower Higgs boson mass bounds which come from the absolute stability of the Standard Model (SM) vacuum and from the Higgs inflation, as well as the prediction of the Higgs boson mass coming from the asymptotic safety of the SM. We account for the three-loop renormalization group evolution of the couplings of the SM and for a part of the two-loop corrections that involve the QCD coupling αs to the initial conditions for their running. This is one step beyond the current state-of-the-art procedure (“one-loop matching-two-loop running”). This results in a reduction of the theoretical uncertainties in the Higgs boson mass bounds and predictions, associated with the SM physics, to 1–2 GeV. We find that with the account of existing experimental uncertainties in the mass of the top quark and αs (taken at the 2σ level) the bound reads MH ≥ Mmin (equality corresponds to the asymptotic-safety prediction), where $ {{M}_{{\min }}}=\left( {129\pm 6} \right) $ GeV. We argue that the discovery of the SM Higgs boson in this range would be in agreement with the hypothesis of the absence of new energy scales between the Fermi and Planck scales, whereas the coincidence of MH with Mmin would suggest that the electroweak scale is determined by Planck physics. In order to clarify the relation between the Fermi and Planck scales a construction of an electron-positron or muon collider with a center-of-mass energy ~ (200 + 200 GeV) (Higgs and t-quark factory) would be needed.

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Metadata

Authors
Bezrukov, F., Kalmykov, M. Y., Kniehl, B. A., & Shaposhnikov, M.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2012-10
Volume
2012
Issue
10
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep10(2012)140
OpenAlex
W1969255035
Cited by
546
References
3
FWCI
31.48
Type
journal article
Language
en
Open access
bronze
Licence
www.springer.com/tdm (tdm)

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 ›

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How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Higgs boson mass and new physics. https://app.cochat.ai/papers/10.1007/jhep10(2012)140
The paper
Bezrukov, F., Kalmykov, M. Y., Kniehl, B. A., & Shaposhnikov, M. (2012). Higgs boson mass and new physics. Journal of High Energy Physics. https://doi.org/10.1007/jhep10(2012)140

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.