  Supersymmetry (SUSY) is a theory that gives an explanation for the strong and
electroweak interactions from the grand unification scale down to the weak
scale. The search for supersymmetric particles still continues at full speed at
the LHC without success. The main tasks at the ILC is complementing the LHC
result and also search for new physics. In this study, the neutralino pair
production via photon-photon collision is studied for the
$\tilde{t}$-coannihilation scenario in the context of MSSM at the ILC. In the
calculation, all the possible one-loop diagrams are taken into account for the
photon-photon interaction. We present the production cross section and
distribution of various observables for the lightest and next-to-lightest
neutralino pairs for benchmark models which are specifically presented in the
light of LHC8 data analysis, employing these benchmark models for neutralino
pair production could show the potential of the ILC concerning the dark matter
searches in supersymmetry.
