Measuring Fine Tuning In Supersymmetry

TL;DR

This paper reviews existing measures of fine tuning in supersymmetry, proposes a new quantitative measure, and applies it to various models including the MSSM, revealing new insights into their tuning requirements.

Contribution

It introduces a novel measure of fine tuning in supersymmetric models and demonstrates its application to the MSSM and toy models for better comparison.

Findings

The new measure provides a more reliable quantification of fine tuning.

Application to models reveals differences in tuning levels.

Results suggest some models are less fine-tuned than previously thought.

Abstract

The solution to fine tuning is one of the principal motivations for supersymmetry. However constraints on the parameter space of the Minimal Supersymmetric Standard Model (MSSM) suggest it may also require fine tuning (although to a much lesser extent). To compare this tuning with different extensions of the Standard Model (including other supersymmetric models) it is essential that we have a reliable, quantitative measure of tuning. We review the measures of tuning used in the literature and propose an alternative measure. We apply this measure to several toy models and the MSSM with some intriguing results.