  We study in detail the impact of the current uncertainty in nucleon matrix
elements on the sensitivity of direct and indirect experimental techniques for
dark matter detection. We perform two scans in the framework of the cMSSM: one
using recent values of the pion-sigma term obtained from Lattice QCD, and the
other using values derived from experimental measurements. The two choices
correspond to extreme values quoted in the literature and reflect the current
tension between different ways of obtaining information about the structure of
the nucleon. All other inputs in the scans, astrophysical and from particle
physics, are kept unchanged. We use two experiments, XENON100 and IceCube, as
benchmark cases to illustrate our case. We find that the interpretation of dark
matter search results from direct detection experiments is more sensitive to
the choice of the central values of the hadronic inputs than the results of
indirect search experiments. The allowed regions of cMSSM parameter space after
including XENON100 constrains strongly differ depending on the assumptions on
the hadronic matrix elements used. On the other hand, the constraining
potential of IceCube is almost independent of the choice of these values.
