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 (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.


Higgs Physics Standard Model Beyond Standard Model

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© SISSA 2012