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Renormalization-group running of the cosmological constant and its implication for the Higgs boson mass in the standard model

2001/11/16 by A. Babić, A. Babic, B. Guberina +3 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #astro-ph #hep-ph

paper · pdf · doi:10.1103/physrevd.65.085002

published as Phys.Rev.D65:085002,2002 · 11 pages, LaTex2e

arxiv created 2001/11/16 · openalex publication_date 2002/03/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The renormalization-group equation for the zero-point energies associated with vacuum fluctuations of massive fields from the standard model is examined. Our main observation is that at any scale the running is necessarily dominated by the heaviest degrees of freedom, in clear contradistinction with the Appelquist-Carazzone decoupling theorem. Such an enhanced running would represent a disaster for cosmology, unless a fine-tuned relation among the masses of heavy particles is imposed. In this way, we obtain mH\ensuremath≃550GeV for the Higgs boson mass, a value safely within the unitarity bound, but far above the more stringent triviality bound for the case when the validity of the standard model is pushed up to the grand unification (or Planck) scale.

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