model with universal extra dimensions [@Cheng:2002ab] (last decay chain in fig. \[fig:chain\](c)). Therefore, the correlation of measured masses with particles may not be unique. What differs the decay chains is the spin of intermediate particles. Although the LHC might have some sensitivity to spin [@Barr:2004ze], both problems – spin and mass ambiguities – can be disentangled with the help of the ILC by verifying masses and measuring spins of new particles [@Weiglein:2004hn]. In addition, the precise measurements of kinematically accessible sparticles at the ILC can facilitate the correct interpretation of the kinematical endpoints, like the largest observed edge in the opposite-sign same-flavor (OP-SF) dilepton invariant mass spectrum $m_{ll}$ shown in fig.\[fig:chain\](c) as originating from heavy neutralino in the MSSM context [@Desch:2003vw].

\(a) (b) (c)\

    

![(a) Relative errors on SUSY parameters from LHC data and LHC+ILC; from [@Bechtle:2005ns]. Evolution of gaugino (b) and scalar (c) mass parameters; from [@Blair:2002pg]. \[fig:fit\]](mi.eps "fig:"){width="5cm" height="4cm"} ![(a) Relative errors on SUSY parameters from LHC data and LHC+ILC; from [@Bechtle:2005ns]. Evolution of gaugino (b) and scalar (c) mass parameters; from [@Blair:2002pg]. \[fig:fit\]](gen1.eps "fig:"){width="5cm" height="4cm"}

Another cosmology-motivated topic is the sensitivity to heavy sfermion masses [@deboer] that are beyond the collider kinematic reach. At the ILC the 