The Hierarchy Solution to the LHC Inverse Problem

TL;DR

This paper develops a systematic method to enumerate and analyze the possible mass hierarchies of supersymmetric particles in various SUSY models, which is crucial for understanding collider phenomenology.

Contribution

It introduces a generalizable procedure to determine allowed and forbidden sparticle mass hierarchies in SUSY models, with detailed analysis of gravity-mediated scenarios.

Findings

Complete list of forbidden hierarchies for eight sparticles

Forbidden hierarchies can be characterized by a few key relations

Method applicable to various SUSY breaking scenarios

Abstract

Supersymmetric (SUSY) models, even those described by relatively few parameters, generically allow many possible SUSY particle (sparticle) mass hierarchies. As the sparticle mass hierarchy determines, to a great extent, the collider phenomenology of a model, the enumeration of these hierarchies is of the utmost importance. We therefore provide a readily generalizable procedure for determining the number of sparticle mass hierarchies in a given SUSY model. As an application, we analyze the gravity-mediated SUSY breaking scenario with various combinations of GUT-scale boundary conditions involving different levels of universality among the gaugino and scalar masses. For each of the eight considered models, we provide the complete list of forbidden hierarchies in a compact form. Our main result is that the complete (typically rather large) set of forbidden hierarchies among the eight sparticles considered in this analysis can be fully specified by just a few forbidden relations involving much smaller subsets of sparticles.