Chances for SUSY-GUT in the LHC Epoch

TL;DR

This paper investigates the energy scale at which supersymmetric particles must appear if SUSY-GUT models are correct, providing bounds relevant for future collider experiments.

Contribution

It derives upper bounds on SUSY particle masses in generic SUSY-GUT models assuming one-step unification and naturalness principles.

Findings

Lightest gluino or Higgsino mass cannot exceed ~20 TeV if SUSY-GUT unification occurs.

Provides theoretical bounds to guide future collider searches for supersymmetry.

Highlights the relevance of these bounds for planning next-generation accelerators.

Abstract

The magic couple of SUSY and GUT still appears the most elegant and predictive physics concept beyond the Standard Model. Since up to now LHC found no evidence for supersymmetric particles it becomes of particular relevance to determine an upper bound of the energy scale they have to show up. In particular, we have analyzed a generic SUSY-GUT model assuming one step unification like in SU(5), and adopting naturalness principles, we have obtained general bounds on the mass spectrum of SUSY particles. We claim that if a SUSY gauge coupling unification takes place, the lightest gluino or Higgsino cannot have a mass larger than about 20 TeV. Such a limit is of interest for planning new accelerator machines.