Leaving no stone unturned in the hunt for SUSY naturalness: A Snowmass whitepaper

Imposing electroweak scale naturalness constraints (low Delta_{EW}) on SUSY models leads to mass spectra characterized by light higgsinos ~100-300 GeV, highly mixed top-squarks and gluinos at the 1-5 TeV scale and allows for m_h ~125 GeV. First and second generation squarks can easily live at the 5-20 TeV scale, thus providing at least a partial solution to the SUSY flavor/CP problems. For such models at the LHC, gluino pair production is followed by cascade decays to t- and b-quark rich final states along with multileptons. The reach of LHC14 with 300 fb^{-1} is computed to be around m_{tg} 1.8 TeV. However, the small magnitude of the mu-parameter-- a necessary condition for naturalness-- leads to a unique hadronically quite same-sign diboson (W^pm W^pm) signature from wino pair production. In low Delta_{EW} models with unified gaugino masses, this signature yields a somewhat higher reach up to m_{tg} 2.1 TeV. The smallness of |mu| implies that the ILC should be a higgsino factory in addition to a Higgs factory, and a complete search for SUSY naturalness seems possible for sqrt{s} 600 GeV. Since a thermal under-abundance of higgsino-like WIMP dark matter (DM) is expected, there is ample room for an axion DM contribution. A thorough search for higgsino-like WIMPs can be made by next generation WIMP detectors, such as those with ton-scale noble liquid targets.