Naturalness and renormalization group in the standard model

Abstract

I define a naturalness criterion formalizing the intuitive notion of naturalness discussed in the literature. After that, using [Formula: see text] as an example, I demonstrate that a theory may be natural in the [Formula: see text]-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.