Higgs mass and vacuum stability in the Standard Model at NNLO
Giuseppe DegrassiDipartimento di Fisica, Università di Roma Tre and INFN — Sezione di Roma Tre, Roma, ItalyStefano Di VitaDipartimento di Fisica, Università di Roma Tre and INFN — Sezione di Roma Tre, Roma, ItalyJoan Elias-MiróIFAE, Universitat Autónoma de Barcelona, 08193, Bellaterra, Barcelona, SpainJosé R. EspinosaICREA, Instituciò Catalana de Recerca i Estudis Avançats, Barcelona, SpainGian F. GiudiceCERN, Theory Division, CH-1211, Geneva 23, SwitzerlandGino IsidoriCERN, Theory Division, CH-1211, Geneva 23, SwitzerlandAlessandro StrumiaDipartimento di Fisica, Università di Pisa and INFN — Sezione di Pisa, Pisa, Italy
2012en
ABI
Аннотация
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.
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