  We consider a large number of pair production processes at future colliders
(LHC, ILC) for values of the c.m. energy in the TeV range, where a logarithmic
expansion of Sudakov kind would provide a reliable description of Split
supersymmetric electroweak effects. We calculate all the leading and next to
leading terms of the expansions, that would differ drastically in the
considered domain from those of an extreme "light" scenario. We imagine then
two possible competitive future situations, at LHC and at ILC, where the
determination of the energy dependence of the cross sections of certain
processes could reveal a "signal" of the correct supersymmetric scheme.
