and heavier than about 120 GeV [@Balazs:2004bu]. Moreover, in this case the Higgs boson involved in the electroweak symmetry breaking mechanism must be lighter than 120 GeV, and if the lightest neutralino is the dark matter particle, it must be lighter than stop. This case includes the stop-neutralino co-annihilation region with acceptable relic density, in which the stop-neutralino mass difference is small presenting a challenge for stop searches at colliders [@milstene; @nowak].

Other cosmologically variable regions of parameter space have been discussed at length in the Cosmological Connections Working Group [@CCWG]. In our session an update of all experimental constraints, including dark matter, on the mSUGRA models and prospects for superparticle production at the ILC has been presented [@kneur]. Special emphases has been put on determining minimal allowed superparticle masses, which might be more interesting than the “size” of allowed parameter space. It is found that mSUGRA models with thermal $\tilde{\chi}^0_1$ as a dark matter particle work fine and that lower bounds on superparticle masses are only very mildly affected by the DM constraints, see fig. \[fig:exp\](d). As a result, a possibility of copious superparticle production even at the first stage of ILC remains open.

\(a) (b)\

![(a) RGE flow 