Supersymmetry from Typicality: TeV-Scale Gauginos and PeV-Scale Squarks and Sleptons

We argue that under a set of simple assumptions the multiverse leads to low-energy supersymmetry with the spectrum often called spread or minisplit supersymmetry: the gauginos are in the TeV region with the other superpartners 2 or 3 orders of magnitude heavier. We present a particularly simple realization of supersymmetric grand unified theory using this idea.

Figure 1

A schematic depiction for the probability distribution of $\tilde{m}$. The red solid (green dashed) line represents the distribution before (after) the dark matter condition, $n_{\text{eff}}(\tilde{m})$, is imposed. Here, we have assumed $T_{\mathit{R}}=10^9\mathrm{GeV}$ and that the anthropic upper bound of the dark matter abundance is at ${\mathrm{\Omega }}_{\mathrm{DM}}{h}^2=100$.