Direct searches for superpartners and precision measurements of the
properties of the ∼126 GeV Higgs boson lead to important inter-dependent
constraints on the underlying parameter space of the MSSM. The 19/20-parameter
p(henomenological)MSSM offers a flexible framework for the study of a wide
variety of both Higgs and SUSY phenomena at the LHC and elsewhere. Within this
scenario we address the following questions: `What will potentially null
searches for SUSY at the LHC tell us about the possible properties of the Higgs
boson?' and, conversely, `What do precision measurements of the properties of
the Higgs tell us about the possible properties of the various superpartners?'
Clearly the answers to such questions will be functions of both the collision
energy of the LHC as well as the accumulated integrated luminosity. We address
these questions employing several sets of pMSSM models having either neutralino
or gravitino LSPs, making use of the ATLAS SUSY analyses at the 7/8 TeV LHC as
well as planned SUSY and Higgs analyses at the 14 TeV LHC and the ILC. Except
for theoretical uncertainties that remain to be accounted for in the ratios of
SUSY and SM couplings, we demonstrate that Higgs coupling measurements at the
14 TeV LHC, and particularly at the 500 GeV ILC, will be sensitive to regions
of the pMSSM model space that are not accessible to direct SUSY searches.Comment: 23 pages, 9 figures. Contributed to the Community Summer Study 2013,
Minneapolis, MN July 29 - August 6, 201
