Peccei–Quinn symmetric pure gravity mediation

Successful models of pure gravity mediation (PGM) with radiative electroweak symmetry breaking can be expressed with as few as two free parameters, which can be taken as the gravitino mass and $$\tan \beta $$. These models easily support a 125–126 GeV Higgs mass at the expense of a scalar spectrum in the multi-TeV range and a much lighter wino as the lightest supersymmetric particle. In these models, it is also quite generic that the Higgs mixing mass parameter, $$\mu $$, which is determined by the minimization of the Higgs potential is also in the multi-TeV range. For $$\mu >0$$, the thermal relic density of winos is too small to account for the dark matter. The same is true for $$\mu