A modified naturalness principle and its experimental tests

TL;DR

This paper proposes a modified naturalness principle called 'finite naturalness' that ignores uncomputable divergences, and tests its implications for the Standard Model and its extensions, suggesting new particles below a few TeV.

Contribution

It introduces the concept of finite naturalness, modifies the naturalness criterion, and explores its experimental implications for the Standard Model and beyond.

Findings

Standard Model satisfies finite naturalness with measured parameters

Extensions with dark matter, neutrino masses, etc., satisfy finite naturalness in specific parameter ranges

Finite naturalness bounds are weaker than traditional bounds, allowing for lighter new particles

Abstract

Motivated by LHC results, we modify the usual criterion for naturalness by ignoring the uncomputable power divergences. The Standard Model satisfies the modified criterion ('finite naturalness') for the measured values of its parameters. Extensions of the SM motivated by observations (Dark Matter, neutrino masses, the strong CP problem, vacuum instability, inflation) satisfy finite naturalness in special ranges of their parameter spaces which often imply new particles below a few TeV. Finite naturalness bounds are weaker than usual naturalness bounds because any new particle with SM gauge interactions gives a finite contribution to the Higgs mass at two loop order.