Speaker
Description
Superstring flux compactifications can stabilize all moduli while
leading to an enormous number of vacua solutions,
each leading to different $4-d$ laws of physics.
While the string landscape provides at present the only plausible explanation
for the size of the cosmological constant, it may also predict the form of
weak scale supersymmetry which is expected to emerge.
Rather general arguments suggest a power-law draw to large soft terms,
but these are subject to an anthropic selection of not-too-large a
value for the weak scale. The combined selection allows to compute relative
probabilities for the emergence of supersymmetric models from the landscape.
Models with weak scale naturalness appear most likely to emerge since
they have the largest parameter space on the landscape.
For finetuned models such as high scale SUSY or split SUSY,
the required weak scale finetuning shrinks their parameter space to
tiny volumes, making them much less likely to appear compared to natural models.
Probability distributions for sparticle and Higgs masses from natural models
show a preference for Higgs mass $m_h\sim 125$ GeV with sparticles typically
beyond present LHC limits, in accord with data.
From these considerations, we briefly describe how natural SUSY is expected
to be revealed at future LHC upgrades.
