Fermion dark matter (FDM) production is investigated via photonphoton collision and the cross section of the FDM production is calculated in detail. Our results are evaluated at different values of the dark matter scale  and the light FDM mass.

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This work aims to calculate the scalar unparticle ( ) U0 production in pair with photon and Z boson at + −  collision in unparticle physics perspective. The work shows that + −  collision process involving scalar unparticles with dimension 2 dU  via the photon or Z boson exchange has been only done for schannel while via muon ( ) − exchange it has been done for t and u-channel. The cross-sections of the production of U0 in the   + − collider when the   + − , beams are unpolarized in unparticle physics were calculated in detail. The obvious dependence of differential cross-section (DCS) on the scattering angle ( )  and the cross-section (CS) on the center of mass-energy ( ) s which is the available range of energy at the future high energy frontier muon collider in the Muon Accelerator Program (MAP) were evaluated respectively.