Associated production of graviton with $e^{+}{e}^{-}$ pair via photon-photon collisions at a linear collider

We investigate the process \rreeG at the future International Linear Collider(ILC), where G_n is the Kaluza-Klein graviton in the Large Extra Dimension Model. When the fundamental energy scale is of a few $\mathrm{T}\mathrm{e}\mathrm{V}$, the cross section of this process can reach several hundred fb at a photon-photon collider with $\sqrt{s}=500\sim 1000GeV$, and the cross section in J=2 polarized photon collision mode is much larger than that in J=0 polarized photon collision mode. We present strategies to distinguish the graviton signal from numerous SM backgrounds, and find that the graviton signal with extra dimensions $\delta =3$ can be detected when ${\mathrm{M}}_{\mathrm{S}}\le 2.67(1.40)\mathrm{T}\mathrm{e}\mathrm{V}$ and $\gamma \gamma$ c.m.s. energy $\sqrt{s}=1000(500)\mathrm{G}\mathrm{e}\mathrm{V}$ in unpolarized photon collision mode, while the detecting upper limit can be increased to 2.79(1.44) $\mathrm{T}\mathrm{e}\mathrm{V}$ in $+-$ (${\lambda }_1=1$, ${\lambda }_2=-1$) polarized photon collision mode(with photon polarization efficiency $P_{\gamma }=0.9$).