articleJournal of High Energy PhysicsAug 1, 2012HYBRID OA

Higgs mass and vacuum stability in the Standard Model at NNLO

GDGiuseppe DegrassiSDStefano Di VitaJEJoan Elias-MiróJRJosé R. EspinosaGFGian F. Giudice

Roma Tre University · Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre · +7 more institutions

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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.

Citation impact

1,244
total citations
FWCI
150.01
Percentile
100%
References
46
Citations per year

Authors

7
  • GD
    Giuseppe DegrassiCorresponding

    Roma Tre University, Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre

  • SD
    Stefano Di Vita

    Roma Tre University, Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre

  • JE
    Joan Elias-Miró

    Universitat Autònoma de Barcelona

  • JR
    José R. Espinosa

    Institució Catalana de Recerca i Estudis Avançats, Universitat Autònoma de Barcelona

  • GF
    Gian F. Giudice

    European Organization for Nuclear Research

Topics & keywords

Keywords
  • Higgs boson
  • Standard Model (mathematical formulation)
  • Higgs field
  • Yukawa potential
  • Quartic function
  • Vacuum expectation value
  • Quantum chromodynamics
  • Vacuum state
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