of the Lonely Higgs discovery is that the Higgs quartic coupling, on evolution to high energies, passes through zero and then remains close to zero up to unified scales, providing evidence for a highly perturbative Higgs sector at high energies. This closeness to zero of the quartic coupling cannot be explained by the SM, and hence is a guide in seeking new physics at very high scales. The Higgs boson mass was predicted to be in the range $\approx (128-141)~{\rm GeV}$ from a supersymmetric boundary condition at unified energies [@Hall:2009nd]. Furthermore, it was pointed out that in such theories $\tan\beta$ near unity can result naturally, leading to a Higgs mass prediction of $(128 \pm 3)~{\rm GeV}$, with the central value gradually decreasing as the scale of supersymmetry is lowered below the unified scale. After the Higgs boson discovery, the connection between supersymmetry at a high scale and the Higgs mass was investigated further [@Hebecker:2012qp; @Ibanez:2012zg].

In a previous paper [@Hall:2013eko], two of us introduced [ *Intermediate Scale Supersymmetry*]{} (ISS) to explain two key observations

-   The SM quartic coupling, when evolved to large scales, passes through zero at $\mu_c$. This can be accounted for by taking the SM superpartner mass 