Associated Productions of HZZ and HHZ at Linear Colliders in Large Extra Dimension Model

In this paper we investigate the effects of the large extra dimensions on the two processes e⁺e^-→ H⁰Z⁰Z⁰ and e⁺e^-→ H⁰Z⁰Z⁰ at linear colliders in both unpolarized and polarized collision modes. We find that the virtual Kaluza-Klein graviton exchange can significantly enhance the cross section from their standard model expectations for these two processes. The results show that the LED effect on the process e⁺e^-→ H⁰Z⁰Z⁰ allows the observation limits on the effective scale M_S to be probed up to 9.75 TeV and 10.1 TeV in the unpolarized and +-(λ_e⁺=1/2, λ_e^-=-1/2) polarized beam collision modes (with P_e⁺=0.6, P_e^-=0.8), respectively. For the process e⁺e^-→ H⁰Z⁰Z⁰, these limits on M_S can be probed up to 6.06 TeV and 6.38 TeV in the unpolarized and polarized collision modes separately. We find that the λ_e⁺=1/2, λ_e^-=-1/2 polarization collision mode in both process e⁺e^-→ H⁰Z⁰Z⁰ and e⁺e^-→ H⁰Z⁰Z⁰ may provide a possibility to improve the sensitivity in probing the LED effects.