Evaluation and Utility of Wilsonian Naturalness

TL;DR

This paper reformulates Wilsonian Naturalness as an algorithmic finetuning assessment in effective field theories, providing a clear and meaningful test for the Standard Model and future theories in particle physics.

Contribution

It introduces a new Wilsonian Naturalness algorithm that unambiguously evaluates naturalness across various particle theories, including the Standard Model and beyond.

Findings

Standard Model passes the Wilsonian Naturalness test

The algorithm applies to theories like supersymmetry and GUTs

Provides a clear criterion for theory naturalness

Abstract

We demonstrate that many Naturalness tests of particle theories discussed in the literature can be reformulated as straightforward algorithmic finetuning assessments in the matching of Wilsonian effective theories above and below particle mass thresholds. Implications of this EFT formulation of Wilsonian Naturalness are discussed for several theories, including the Standard Model, heavy singlet scalar theory, supersymmetry, Grand Unified Theories, twin Higgs theories, and theories of extra dimensions. We argue that the Wilsonian Naturalness algorithm presented here constitutes an unambiguous, a priori, and meaningful test that the Standard Model passes and which "the next good theory" of particle physics is very likely to pass.