Abstract

We identify the Minimal Dirac Gaugino Supersymmetric Standard Model (MDGSSM) as the minimal field content with Dirac gauginos allowing unification of gauge coupling. We stress that its parameter space describes also other most popular models as the MSSM, NMSSM and MRSSM. We discuss the generation of trilinear couplings in models of gauge mediation that has been overlooked in the past. We study the different source of Higgs mixings and constraints from the ƿ parameter. Finally, we provide new experimental limits on the masses of the scalar octets.

Highlights

  • The possibility of extending the MSSM to allow Dirac gaugino masses has been subject to many studies

  • We argue that the field content of the Minimal Dirac Gaugino Supersymmetric Standard Model (MDGSSM) is the minimal content of extra states to describe al these models that automatically preserve unification of gauge couplings while allowing the new couplings to the Higgs to enhance naturalness and allow the boundary conditions to be unified at a high energy scale

  • There are extra vector-like charged states, subsequently called “fake leptons” [16] as they carry the same quantum numbers as the Standard Model leptons. They were introduced in order to restore the automatic gauge coupling unification that was spoiled by the addition of the adjoint representations of the Standard Model gauge group

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Summary

Introduction

The possibility of extending the MSSM to allow Dirac gaugino masses has been subject to many studies The parameter space is constrained by the requirements of stability of the vacuum avoiding existence of directions in the phase space of the model taking the fields expectation values to chargeand colour- breaking vacua This is important due to trilinear terms, some have not been explicitly discussed in the existing literature while they are expected to be generically present in the model. This is the case for example of soft terms mixing three adjoint scalars that we will show that they are generated in models of gauge mediation It is constrained if one needs to keep couplings small enough if we want to preserve perturbativity up to the GUT scale. As one of the virtues of the MSSM was to predict perturbative unification of gauge couplings, and was one of the motivations for introducing the MDGSSM, we shall place emphasis on regions of the parameter space which respect this condition

The MDGSSM field content
Higgs mixing
Trilinear couplings
F M2 with appropriate factors of couplings and κl
Adjoint couplings in gauge mediation
Octets production
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