Standard Model PhysicsNo Access

Naturalness and renormalization group in the standard model

Grigorii B. Pivovarov

Theory Division, Institute for Nuclear Research, Moscow, 117312, Russia

https://doi.org/10.1142/S0217751X16450330Cited by:0 (Source: Crossref)

Abstract

I define a naturalness criterion formalizing the intuitive notion of naturalness discussed in the literature. After that, using $ϕ^{4}$ as an example, I demonstrate that a theory may be natural in the $M S$ -scheme and, at the same time, unnatural in the Gell-Mann–Low scheme. Finally, I discuss the prospects of using a version of the Gell-Mann–Low scheme in the Standard Model.

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References

1. A.V. Bednyakov, A.F. Pikelner and V.N. Velizhanin, Phys. Lett. B737, 129 (2014), arXiv:1406.7171 [hep-ph]. Crossref, Web of Science, ADS, Google Scholar
2. G.F. Giudice, PoS EPS-HEP2013, 163 (2013), arXiv:1307.7879 [hep-ph]. Google Scholar
3. A. Boyarsky, O. Ruchayskiy and M. Shaposhnikov, Ann. Rev. Nucl. Part. Sci. 59, 191 (2009), arXiv:0901.0011 [hep-ph]. Crossref, Web of Science, ADS, Google Scholar
4. L. Susskind, Phys. Rev. D20, 2619 (1979). ADS, Google Scholar
5. J.C. Collins and A.J. Macfarlane, Phys. Rev. D10, 1201 (1974). ADS, Google Scholar
6. J.C. Collins, Phys. Rev. D10, 1213 (1974). ADS, Google Scholar
7. G. Pivovarov, Phys. Rev. D81, 076007 (2010), arXiv:0912.1521 [hep-ph]. ADS, Google Scholar
8. M.J.G. Veltman, Acta Phys. Polon. B12, 437 (1981). Google Scholar
9. B.W. Lee and J. Zinn-Justin, Phys. Rev. D5, 3121 (1972). ADS, Google Scholar
10. E. Kraus, Acta Phys. Polon. B29, 2647 (1998), arXiv:hep-th/9807102. ADS, Google Scholar
11. E. Kraus, Annals Phys. 262, 155 (1998), arXiv:hep-th/9709154. Crossref, Web of Science, ADS, Google Scholar