Abstract
The lack of evidence for low-scale supersymmetry suggests that the scale of supersymmetry breaking may be higher than originally anticipated. However, there remain many motivations for supersymmetry including gauge coupling unification and a stable dark matter candidate. Models like pure gravity mediation (PGM) evade LHC searches while still providing a good dark matter candidate and gauge coupling unification. Here, we study the effects of PGM if the input boundary conditions for soft supersymmetry breaking masses are pushed beyond the unification scale and higher dimensional operators are included. The added running beyond the unification scale opens up the parameter space by relaxing the constraints on tan beta . If higher dimensional operators involving the SU(5) adjoint Higgs are included, the mass of the heavy gauge bosons of SU(5) can be suppressed leading to proton decay, prightarrow pi ^0 e^+, that is within reach of future experiments. Higher dimensional operators involving the supersymmetry breaking field can generate additional contributions to the A- and B-terms of order m_{3/2}. The threshold effects involving these A- and B-terms significantly impact the masses of the gauginos and can lead to a bino LSP. In some regions of parameter space the bino can be degenerate with the wino or gluino and give an acceptable dark matter relic density.
Highlights
Despite its many motivations, low energy supersymmetry (SUSY) (E < 1 TeV) is yet to be discovered at the LHC [1,2,3,4] calling into question the scale of supersymmetry breaking
We describe the minimal SU(5) model, the boundary conditions at the input scale, Min set by pure gravity mediation (PGM), the higher dimension operators we consider, and the matching conditions at the GUT scale between SU(5) parameters and those associated with the Standard Model (SM)
We consider the minimal SU(5) GUT with PGM where the input scale Min for soft SUSY-breaking parameters is taken to be higher than the unification scale MGUT
Summary
Low energy supersymmetry (SUSY) (E < 1 TeV) is yet to be discovered at the LHC [1,2,3,4] calling into question the scale of supersymmetry breaking. In conventional models of supersymmetry based on supergravity such as the constrained minimal supersymmetric standard model (CMSSM) [30,46,47,48,49,50,51,52,53,54,55,56,57,58,59], the soft masses lie below about 10 TeV In these models, some form of tuning of its input parameters is required to obtain the needed mass degeneracies which allow the relic density to fall into the range determined by CMB experiments [60]. The dark matter candidate is the wino and the mass degeneracies that set the relic density are enforced by the SU(2) gauge symmetry
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