Once Supersymmetry is discovered, exploring the phases of supersymmetric
parameters will be one of the most important tasks of future colliders. We
analyze the possibilities of investigating the phases of the cMSSM via their
effects on the Higgs sector through radiative corrections. Within two benchmark
scenarios we compare the capabilities of the LHC, the ILC and a future gamma
gamma collider.Comment: 6 pages, 10 figures. Talk given by S. Heinemeyer at the 2005
International Linear Collider Workshop, Stanford Ca (LCWS05