The pMSSM Interpretation of LHC Results Using Rernormalization Group Invariants

TL;DR

This paper uses Renormalization Group Invariants within the pMSSM framework to interpret LHC and other experimental constraints, providing insights into supersymmetry-breaking parameters and gauge mediation models.

Contribution

It introduces a general method to analyze experimental bounds on supersymmetry parameters using RGIs in the pMSSM, connecting low-energy data to high-scale theories.

Findings

Probabilistic distributions for RGIs derived from current constraints.

Analysis of Gaugino Mass Unification likelihood.

Parameter determination for General and Minimal Gauge Mediation.

Abstract

The LHC has started to constrain supersymmetry-breaking parameters by setting bounds on possible colored particles at the weak scale. Moreover, constraints from Higgs physics, flavor physics, the anomalous magnetic moment of the muon, as well as from searches at LEP and the Tevatron have set additional bounds on these parameters. Renormalization Group Invariants (RGIs) provide a very useful way of representing the allowed parameter space by making direct connection with the values of these parameters at the messenger scale. Using a general approach, based on the pMSSM parametrization of the soft supersymmetry-breaking parameters, we analyze the current experimental constraints to determine the probability distributions for the RGIs. As examples of their application, we use these distributions to analyze the question of Gaugino Mass Unification and to probabilistically determine the parameters of General and Minimal Gauge Mediation with arbitrary Higgs mass parameters at the Messenger Scale.