Naturalness and Renormalization Group in the Standard Model

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 $MS$-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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