In this paper, we calculate the branching ratios of Λb→pK-and p∏- decays in the flavor changing Z' model. We find that the branching ratios for these two decay modes are sensitive to the contributions of the Z' boson. For Λb→pK decay, if the left-handed couplings are equal to the right-handed couplings, the branching ratio of this decay could match up to the currently experimental data for ξs =0.01 and -52° <φsL<132°, or ξs =0.004 and 0°<φsL<84; if only the left-handed couplings are considered, it could match up to the experimental data for ξs =0.01 and 10<φsL<138. And for Λb→p∏- decay, if the left-handed and right-handed couplings are equal, the branching ratio of Λb→p∏- decay may be consistent with the currently experimental data with ξd =0.05 and -135<φdL<43°, if only the left-handed couplings are considered, it may be consistent with ξd =0.05 and -114<φsL<8°.
In the framework of the left-right twin Higgs model, we study pair production of the right-handed neutrinos at the International Linear Collider (ILC) and the CERN Large Hadron Collider (LHC). Our numerical results show that the production cross section of the process e+e→N N is at the level of several tens fb at the ILC. However, the resonance production cross section can be significantly enhanced to the order of pb. The pair production cross section for the right-handed neutrinos is the level of several hundreds of fb at the LHC. In general, pair production of right-handed neutrinos gives rise to 2l+4j signal without missing energy. As long as the right-handed neutrinos are not too heavy, we conclude that its pair production might be used to test for the left-right twin Higgs model at the future ILC and LHC experiments.
