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Renormalization-group running of the cosmological constant and its implication for the Higgs boson mass in the Standard Model
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Renormalization-group running of the cosmological constant and its implication for the Higgs boson mass in the Standard Model
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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.
Forward citations
Cited by 3 Pith papers
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Field theory vacuum and entropic dark energy models
A new vacuum energy definition using oscillator mass scales set by IR cutoff and black hole entropy bound derives entropic dark energy models.
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Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy
The running vacuum model derives dynamical vacuum energy from QFT in curved spacetime, using H^4 terms for inflation and H^2 terms for dark energy while G evolves logarithmically.
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Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy
QFT in FLRW spacetime yields a running vacuum energy density ρ_vac(H) that unifies mild dynamical dark energy today with H^4 inflation without an inflaton field.
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