Investigation of neutralino pair production in photon-photon collider at the ILC

Neutralino pair production via photon-photon collision is analyzed in the context of the minimal supersymmetric standard model at a future linear collider. Since the photon does not have self- coupling, this process is only possible at next-to-leading order (NLO), and all the possible diagrams are calculated for the photon-photon interaction, including box, triangle, and quartic coupling diagrams. Numerical analysis of the production rates for ${\tilde{\chi }}_1^0{\tilde{\chi }}_1^0$, ${\tilde{\chi }}_1^0{\tilde{\chi }}_2^0$ and ${\tilde{\chi }}_2^0{\tilde{\chi }}_2^0$ are presented for four new distinct benchmark models which are presented in the light of LHC8. Angular dependence of each neutralino pair for the benchmark points is also analyzed. Total integrated photonic cross section goes up to 1.43 fb for the ${\tilde{\chi }}_2^0{\tilde{\chi }}_2^0$ pairs at $\sqrt{s}=1\mathrm{TeV}$ for the radiatively driven natural supersymmetric benchmark point.

Figure 1

One-loop Feynman box diagrams for the neutralino pair production at the ILC via photon-photon fusion.

Figure 2

One-loop Feynman triangle diagrams for the neutralino pair production at the ILC via photon-photon fusion.

Figure 3

One-loop Feynman quartic diagrams for the neutralino pair production at the ILC via photon-photon fusion.

Figure 4

Integrated cross section of the process $\gamma \gamma \to {\tilde{\chi }}_i^0{\tilde{\chi }}_j^0$ as a function of $\widehat{s}$. (a) $ij=11$, (b) $ij=12$, and (c) $ij=22$.

Figure 5

The angular distribution of $\gamma \gamma \to {\tilde{\chi }}_i^0{\tilde{\chi }}_j^0$ as a function of $\theta$ in c.m. for $\sqrt{s}=0.5\mathrm{TeV}$. (a) $ij=11$, (b) $ij=12$, and (c) $ij=22$.

Figure 6

The angular distribution of $\gamma \gamma \to {\tilde{\chi }}_i^0{\tilde{\chi }}_j^0$ as a function of $\theta$ in c.m. for $\sqrt{s}=1.0\mathrm{TeV}$. (a) $ij=11$, (b) $ij=12$, and (c) $ij=22$.

Figure 7

Impact of each type of diagram on the cross section distribution of $\gamma \gamma \to {\tilde{\chi }}_i^0{\tilde{\chi }}_j^0$ as a function of $\sqrt{\widehat{s}}$. (a) $ij=11$, (b) $ij=12$, and (c) $ij=22$. In the distributions, the mSUGRA benchmark scenario is taken.