CA9-WP-2026-004 · Cahiers de physique théorique CA9
A scale-free Higgs potential with discrete renormalization: κ_λ = 5/3 and m_H = 2v/√(π ln(1/α))
Lilian Alexandre Cariou (CA9 SAS) · ORCID 0009-0006-8276-4048
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Texts in this series are not peer reviewed.
Abstract. The LHC has established that the couplings of the 125 GeV boson follow the Standard-Model pattern at the 5-10% level, but the shape of the scalar potential — in particular the trilinear self-coupling — remains untested. We revisit the radiatively generated, scale-invariant potential with a discrete renormalization step: it predicts κ_λ = 5/3 and the closed form m_H = 2v/√(π ln(1/α)) = 125.0 GeV, a falsifiable target for HL-LHC.
Record
| First published | 27 August 2026 |
|---|---|
| Online version | v1 — 27 August 2026 |
| DOI | 10.5281/zenodo.22127667 |
| Pages | 7 |
| Licence | CC BY 4.0 |
| Languages | English, with a French edition of every document |
How to cite
Cariou, L. A. (2026). A scale-free Higgs potential with discrete renormalization: κ_λ = 5/3 and m_H = 2v/√(π ln(1/α)). Cahiers de physique théorique CA9, CA9-WP-2026-004-EN. doi:10.5281/zenodo.22127667
BibTeX record
@techreport{cariou2026004,
author = {Cariou, Lilian Alexandre},
title = {A scale-free Higgs potential with discrete renormalization: kappa_lambda = 5/3 and m_H = 2v/sqrt(pi ln(1/alpha))},
institution = {CA9 SAS},
type = {Cahiers de physique théorique CA9},
number = {CA9-WP-2026-004-EN},
year = {2026},
doi = {10.5281/zenodo.22127667},
url = {https://www.ca9.fr/cahiers/2026/004/}
}