Higgs mass and vacuum stability in the Standard Model at NNLO

2012/05/31 by Giuseppe Degrassi, Stefano Di Vita, Joan Elias-Miró +4 · 2 voices · 17 citations
Physics and Astronomy · #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1007/jhep08(2012)098

35 pages, 8 figures. Final published version, misprints fixed, figures updated

openalex publication_date 2012/08/01 · arxiv created 2013/09/30 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A bstract We present the first complete next-to-next-to-leading order analysis of the Standard Model Higgs potential. We computed the two-loop QCD and Yukawa corrections to the relation between the Higgs quartic coupling ( λ ) and the Higgs mass ( M h ), reducing the theoretical uncertainty in the determination of the critical value of M h for vacuum stability to 1 GeV. While λ at the Planck scale is remarkably close to zero, absolute stability of the Higgs potential is excluded at 98 % C.L. for M h < 126 GeV. Possible consequences of the near vanishing of λ at the Planck scale, including speculations about the role of the Higgs field during inflation, are discussed.

Citations

• Unitarizing Higgs inflation
• On the metastability of the Standard Model vacuum
• Effective operators and vacuum instability as heralds of new physics
• Standard model Higgs boson mass from inflation: two loop analysis
• Standard model criticality prediction top mass 173 ± 5 GeV and Higgs mass 135 ± 9 GeV
• The Standard Model Higgs boson as the inflaton
• Living dangerously with low-energy supersymmetry
• Review of Particle Physics

Cited by

• CPT-Symmetric Universe
• Dark matter from a classically scale-invariantSU(3)X
• Fate of the scalar quartic couplings in the inert models
• A simple motivated completion of the standard model below the Planck scale: Axions and right-handed neutrinos
• Higgs mass and gravity waves in standard model false vacuum inflation
• Mini-Split
• Higgs mass and unnatural supersymmetry
• Neutrino-axion-dilaton interconnection
• Precision top pair production at hadron colliders
• Axion-Higgs unification
• Higgs vacuum stability, neutrino mass, and dark matter
• Measuring extended Higgs sectors as a consistent free couplings model
• Leptogenesis via Higgs condensate relaxation
• Role of supersymmetric heavy Higgs boson production in the self-coupling measurement of 125 GeV Higgs boson at the LHC
• Indirect determinations of the top quark mass
• Consistent Use of the Standard Model Effective Potential
• Alessandro Strumia [wikipedia]

Discussions

• In Higgs mass and vacuum stability in the Standard Model at NNLO , Eq. 52 gives the effective potential for the Higgs field as: $$\lambda_{\text{eff}}(h) = e^{4\Gamma(h)} \left\{ \lambda(h) + \frac{1} [stackexchange, 1 points]
• Measurements of the Higgs and top mass allow us to establish constraints on the instability scale at which the Higgs potential starts to become negative, or, said similarly, meaning that there exists [stackexchange, 1 points]