  The notion of stringy naturalness-- that an observable O_2 is more natural
than O_1 if more (phenomenologically acceptable) vacua solutions lead to
  O_2 rather than O_1-- is examined within the context of the Standard Model
(SM) and various SUSY extensions: CMSSM/mSUGRA, high-scale SUSY and
radiatively-driven natural SUSY (RNS). Rather general arguments from string
theory suggest a (possibly mild) statistical draw towards vacua with large soft
SUSY breaking terms. These vacua must be tempered by an anthropic veto of
non-standard vacua or vacua with too large a value of the weak scale m(weak).
We argue that the SM, the CMSSM and the various high-scale SUSY models are all
expected to be relatively rare occurances within the string theory landscape of
vacua. In contrast, models with TeV-scale soft terms but with m(weak)~100 GeV
and consequent light higgsinos (SUSY with radiatively-driven naturalness)
should be much more common on the landscape. These latter models have a
statistical preference for m_h~ 125 GeV and strongly interacting sparticles
beyond current LHC reach. Thus, while conventional naturalness favors
sparticles close to the weak scale, stringy naturalness favors sparticles so
heavy that electroweak symmetry is barely broken and one is living dangerously
close to vacua with charge-or-color breaking minima, no electroweak breaking or
pocket universe weak scale values too far from our measured value. Expectations
for how landscape SUSY would manifest itself at collider and dark matter search
experiments are then modified compared to usual notions.
