Renormalisation group invariants and sum rules: fast diagnostic tools for probing high-scale physics

TL;DR

The paper introduces a method using renormalisation group invariants and sum rules to efficiently probe high-scale physics phenomena through lower-energy experimental data, focusing on supersymmetry-breaking mechanisms.

Contribution

It develops a detailed framework for constructing sum rules based on renormalisation group invariants to test supersymmetry-breaking models and underlying high-scale physics.

Findings

Sum rules effectively distinguish different supersymmetry-breaking scenarios.

The method provides a fast diagnostic tool for high-scale physics.

Applications demonstrated within the Minimal Supersymmetric Standard Model.

Abstract

A method is described to probe high-scale physics in lower-energy experiments by employing sum rules in terms of renormalisation group invariants. The method is worked out in detail for the study of supersymmetry-breaking mechanisms in the context of the Minimal Supersymmetric Standard Model. To this end sum rules are constructed that test either specific models of supersymmetry breaking or general properties of the physics that underlies supersymmetry breaking, such as unifications and flavour-universality.