Searches for new neutral gauge boson at the Tevatron and LHC in the left-right twin Higgs model

In the framework of the left-right twin Higgs (LRTH) model, we study the possibilities to detect the new Z' boson at the Tevatron and LHC. First, using p (p) over bar collision data collected by the D0 and CDF II detectors, we find that the LRTH Z' boson is excluded with masses below 940 GeV. Then we search for signatures of the Z' boson at the LHC from the analysis of some distributions for p (p) over bar -> mu(+)mu(-) + X, such as the number of events, the differential cross section of the dimuon invariant mass, the distributions of the transverse momentum and the forward-backward charge asymmetry. We do our calculation for two typical values of the LHC center of mass energy (7 and 14 TeV). The numerical results show that, by applying convenient cuts on some of the observables, the dimuon invariant mass and final particle p(T) distributions can reveal the presence of the heavy neutral gauge boson Z' contribution in the LRTH model.