in addition to the SM particles (solid blue and dashed green lines, respectively). In drawing these lines/regions, we have used, following Ref. [@Giudice:2011cg], 2-loop (1-loop) threshold corrections and 3-loop (2-loop) renormalization group equations for the SM particles (the wino and gluino). As can be seen from the figure, $\lambda$ crosses zero at an intermediate scale $\mu_c \sim 
10^9\mbox{--}10^{13}~{\rm GeV}$ for the SM, although uncertainties from experimental input parameters are still very large. The situation is similar if there is a wino at $1~{\rm TeV}$ (which is not entirely trivial as the crossing scale is highly sensitive to physics at lower energies as can be seen in the case in which the gluino exists at $1~{\rm TeV}$).

In the rest of the paper, we assume that the Higgs quartic coupling indeed crosses zero at $\mu_c$ if we evolve it to higher energy scales using the SM renormalization group equations (or those with a TeV-scale wino), although the possibility of the crossing scale being around the unification/Planck scale $\sim 10^{16}~\mbox{--}~10^{18}~{\rm GeV}$ is not yet excluded if we allow 2- to 3-$\sigma$ ranges for the current experimental errors. As discussed above and in Ref. [@Hall:2013eko], we identify this scale to be the scale 