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Title: The cosmological Higgstory of the vacuum instability

We report that the Standard Model Higgs potential becomes unstable at large field values. After clarifying the issue of gauge dependence of the effective potential, we study the cosmological evolution of the Higgs field in presence of this instability throughout inflation, reheating and the present epoch. We conclude that anti-de Sitter patches in which the Higgs field lies at its true vacuum are lethal for our universe. From this result, we derive upper bounds on the Hubble constant during inflation, which depend on the reheating temperature and on the Higgs coupling to the scalar curvature or to the inflaton. Finally we study how a speculative link between Higgs meta-stability and consistence of quantum gravity leads to a sharp prediction for the Higgs and top masses, which is consistent with measured values.
Authors:
 [1] ;  [2] ;  [3] ;  [3] ;  [4] ;  [5] ;  [6]
  1. Univ. Autonoma de Barcelona (Spain). Inst. Catalana de Recerca i Estudis Avancats (ICREA) and Inst. de Fisica d'Altes Energies (IFAE)
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division
  3. Univ. of Geneva (Switzerland)
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Inst. for Theoretical Physics and Kavli Inst. for Particle Astrophysics and Cosmology, Physics Dept.
  5. Univ. of Pisa (Italy). Physics Dept.; National Inst. of Chemical Physics and Biophysics, Tallinn (Estonia)
  6. Univ. of Athens (Greece). Dept. of Physics
Publication Date:
OSTI Identifier:
1293667
Report Number(s):
SLAC-PUB--16698
Journal ID: ISSN 1029-8479; PII: 2176
Grant/Contract Number:
AC02-76SF00515; FG02-12ER41854; SO-2012-0234; PHY-1068380; MTT8; FPA2013-44773-P; FPA2012-32828
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Higgs Physics; Standard Model