Environmentally Selected WIMP Dark Matter with High-Scale Supersymmetry
  Breaking
  We explore the possibility that both the weak scale and the thermal relic
dark matter abundance are environmentally selected in a multiverse. An
underlying supersymmetric theory containing the states of the MSSM and
singlets, with supersymmetry and R symmetry broken at unified scales, has just
two realistic low energy effective theories. One theory, (SM + \tilde{w}), is
the Standard Model augmented only by the wino, having a mass near 3 TeV, and
has a Higgs boson mass in the range of (127 - 142) GeV. The other theory, (SM +
\tilde{h}/\tilde{s}), has Higgsinos and a singlino added to the Standard Model.
The Higgs boson mass depends on the single new Yukawa coupling of the theory,
y, and is near 141 GeV for small y but grows to be as large as 210 GeV as this
new coupling approaches strong coupling at high energies. Much of the parameter
space of this theory will be probed by direct detection searches for dark
matter that push two orders of magnitude below the present bounds; furthermore,
the dark matter mass and cross section on nucleons are correlated with the
Higgs boson mass. The indirect detection signal of monochromatic photons from
the galactic center is computed, and the range of parameters that may be
accessible to LHC searches for trilepton events is explored. Taking a broader
view, allowing the possibility of R symmetry protection to the TeV scale or
axion dark matter, we find four more theories: (SM + axion), two versions of
Split Supersymmetry, and the E-MSSM, where a little supersymmetric hierarchy is
predicted. The special Higgs mass value of (141 \pm 2) GeV appears in symmetry
limits of three of the six theories, (SM + axion), (SM + \tilde{w}) and (SM +
\tilde{h}/\tilde{s}), motivating a comparison of other signals of these three
theories.
