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EPJ C - Particles and Fields
Particles and Fields

This article has an erratum: [https://doi.org/10.1140/epjc/s10052-025-14108-x]

Eur. Phys. J. C 10, 629-638
DOI 10.1007/s100529900035

Two-loop renormalization group restrictions on the standard model and the fourth chiral family

Yu.F. Pirogov1,2 - O.V. Zenin2

1 Institute for High Energy Physics, Protvino, Moscow Region, Russia
2 Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia

Received: 2 September 1998 / Revised version: 4 January 1999 / Published online: 28 September 1999

Abstract
In the framework of the two-loop renormalization group, the restrictions on the Higgs mass from the electroweak vacuum stability and from the absence of the strong coupling are refined, while the more precise value of the top mass is taken into account. When the SM cutoff is equal to the Planck scale, the Higgs mass must be $M_{\mathrm H} = (161.3 \pm 20.6)^{+4}_{-10}$GeV and $M_{\mathrm H}\ge 140.7^{+10}_{-10}$GeV, where the $M_{\mathrm H}$ corridor is the theoretical one and the errors are due to the top-mass uncertainty. The SM two-loop $\beta$ functions are generalized to the case with massive neutrinos from extra families. The requirement of self-consistency of the perturbative SM as an underlying theory up to the Planck scale excludes a fourth chiral family. Under the precision-experiment restriction $M_{\mathrm H}\leq 215$GeV, the fourth chiral family, if alone, is excluded even when the SM is regarded as an effective theory. Nevertheless a pair of chiral families constituting a vector-like one could exist.

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