Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-11-16
Phys.Rev.D65:085002,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, LaTex2e
Scientific paper
10.1103/PhysRevD.65.085002
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 $m_H \simeq 550 GeV$ for the Higgs 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.
Babic Ana
Guberina Branko
Horvat Raul
Stefancic Hrvoje
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