4.4 Article

Higgs mass and vacuum stability in the Standard Model at NNLO

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP08(2012)098

Keywords

Higgs Physics; Standard Model; Beyond Standard Model

Funding

  1. CERN
  2. ESF [MTT8, SF0690030s09]
  3. EU ITN Unification in the LHC Era [PITN- GA-2009-237920]
  4. Spanish Ministry MICINN [FPA2010-17747, FPA2008-01430]
  5. Spanish Consolider-Ingenio Programme CPAN [CSD2007-00042]
  6. Generalitat de Catalunya [2009SGR894]
  7. Research Executive Agency (REA) of the European Union [PITN-GA-2010-264564]
  8. ICREA Funding Source: Custom

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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 (lambda) 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 lambda 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 lambda at the Planck scale, including speculations about the role of the Higgs field during inflation, are discussed.

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