Abstract
The standard Model Higgs scalar boson minimally coupled to gravity does not take part in the inflation of the early universe if its mass exceeds a threshold value, which is m min H = 142 GeV in the tree approximation for the potential of the scalar. Two-loop corrections modify this estimate, which becomes m min H = 150 ± 3 GeV. Therefore, higher order corrections of perturbation theory have quite a controllable moderate character, but they are numerically important for experiments.
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References
A. H. Guth, Phys. Rev. D 23, 347 (1981).
A. D. Linde, Phys. Lett. B 108, 389 (1982).
A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982).
A. D. Linde, Phys. Lett. B 129, 177 (1983).
A. Linde, Lect. Notes Phys. 738, 1 (2008).
V. V. Kiselev and S. A. Timofeev, arXiv:0906.4191 [grqc].
V. V. Kiselev and S. A. Timofeev, arXiv:0801.2453 [grqc].
V. V. Kiselev and S. A. Timofeev, arXiv:0905.4353 [grqc]; Gen. Rel. Grav. 42, 183 (2010).
C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008).
J. R. Espinosa, G. F. Giudice, and A. Riotto, JCAP 0805, 002 (2008) [arXiv:0710.2484 [hep-ph]].
A. O. Barvinsky and A. Yu. Kamenshchik, Phys. Lett. B 332, 270 (1994) [gr-qc/9404062].
F. L. Bezrukov and M. Shaposhnikov, Phys. Lett. B 659, 703 (2008) [arXiv:0710.3755 [hep-th]].
A. De Simone, M. P. Hertzberg, and F. Wilczek, arXiv:0812.4946 [hep-ph].
A. O. Barvinsky, A. Y. Kamenshchik, C. Kiefer, et al., arXiv:0904.1698 [hep-ph].
F. Bezrukov and M. Shaposhnikov, arXiv:0904.1537 [hep-ph].
C. P. Burgess, H. M. Lee, and M. Trott, arXiv:0902.4465 [hep-ph].
J. L. F. Barbon and J. R. Espinosa, arXiv:0903.0355 [hep-ph].
J. L. Cervantes-Cota and H. Dehnen, Nucl. Phys. B 442, 391 (1995) [astro-ph/9505069].
J. L. Cervantes-Cota and H. Dehnen, Phys. Rev. D 51, 395 (1995) [astro-ph/9412032].
A.O. Barvinsky, A. Yu. Kamenshchik, C. Kiefer, et al., arXiv:0910.1041 [hep-ph].
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Original Russian Text © V.V. Kiselev, S.A. Timofeev, 2011, published in Yadernaya Fizika, 2011, Vol. 74, No. 5, pp. 804–808.
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Kiselev, V.V., Timofeev, S.A. Renormalization-group analysis of the cosmological constraint on the Higgs scalar mass. Phys. Atom. Nuclei 74, 778–782 (2011). https://doi.org/10.1134/S1063778811050139
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DOI: https://doi.org/10.1134/S1063778811050139