Journal of High Energy Physics

, 2012:98

Higgs mass and vacuum stability in the Standard Model at NNLO


  • Giuseppe Degrassi
    • Dipartimento di FisicaUniversità di Roma Tre and INFN — Sezione di Roma Tre
  • Stefano Di Vita
    • Dipartimento di FisicaUniversità di Roma Tre and INFN — Sezione di Roma Tre
  • Joan Elias-Miró
    • IFAEUniversitat Autónoma de Barcelona
  • José R. Espinosa
    • IFAEUniversitat Autónoma de Barcelona
    • ICREA, Instituciò Catalana de Recerca i Estudis Avançats
  • Gian F. Giudice
    • CERN, Theory Division
    • CERN, Theory Division
    • INFN, Laboratori Nazionali di Frascati
  • Alessandro Strumia
    • Dipartimento di FisicaUniversità di Pisa and INFN — Sezione di Pisa
    • National Institute of Chemical Physics and Biophysics
Open AccessArticle

DOI: 10.1007/JHEP08(2012)098

Cite this article as:
Degrassi, G., Di Vita, S., Elias-Miró, J. et al. J. High Energ. Phys. (2012) 2012: 98. doi:10.1007/JHEP08(2012)098


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 (Mh), reducing the theoretical uncertainty in the determination of the critical value of Mh 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 Mh< 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.


Higgs PhysicsStandard ModelBeyond Standard Model
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© SISSA 2012