Journal of High Energy Physics

, 2012:98

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Higgs mass and vacuum stability in the Standard Model at NNLO

  • Giuseppe DegrassiAffiliated withDipartimento di Fisica, Università di Roma Tre and INFN — Sezione di Roma Tre
  • , Stefano Di VitaAffiliated withDipartimento di Fisica, Università di Roma Tre and INFN — Sezione di Roma Tre
  • , Joan Elias-MiróAffiliated withIFAE, Universitat Autónoma de Barcelona
  • , José R. EspinosaAffiliated withIFAE, Universitat Autónoma de BarcelonaICREA, Instituciò Catalana de Recerca i Estudis Avançats
  • , Gian F. GiudiceAffiliated withCERN, Theory Division
  • , Gino IsidoriAffiliated withCERN, Theory DivisionINFN, Laboratori Nazionali di Frascati Email author 
  • , Alessandro StrumiaAffiliated withDipartimento di Fisica, Università di Pisa and INFN — Sezione di PisaNational Institute of Chemical Physics and Biophysics


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