Supersymmetric model building with Dirac gauginos

Abstract

With the Large Hadron Collider about to start its second run, we are in an era of high-energy collider physics. The discovery of a Standard Model-like Higgs boson with a mass of 125 GeV is a fantastic achievement, but the non-observation of supersymmetry (or any other mechanism of choice that stabilises the electroweak scale) is a tantalising puzzle.

In this work, we investigate the possibility that a particular non-minimal realisation of supersymmetry - one with Dirac gauginos - can be a reasonably natural way of explaining this non—observation, but can still can stabilise electroweak physics. We construct a simple UV completion of a model with Dirac gluinos dubbed 'Constrained Dirac gluino mediation' and determine the characteristic low energy spectra, the production cross sections of key processes at the Large Hadron Collider and the degree of fine tuning for a representative range of parameters. Noting that theories with Dirac gluinos have a tendency to lose asymptotic freedom due to the presence of extra matter content, we then cast our eyes towards Seiberg Duality and its generalisation to include adjoint chiral superfields - Kutasov duality and investigate how a Dirac mass maps across this duality. We provide evidence that a Dirac gaugino mass maps between electric and magnetic Kutasov descriptions in a particular form using renormalisation group arguments and harmonic superspace techniques.