SU(3) Simple Group Model and New Z ′ Properties in Future Linear Colliders

Abstract

In the SU(3) simple group model, the new neutral gauge boson Z′ couples to pairs of SM fermions with couplings fixed in terms of the SM gauge couplings and depending only on the choice of the fermion embedding. In this paper, we calculate the contributions of this new particle to the processes e+e− → l+l−, bb̄, and cc̄ and study the possibility of detecting this new particle via these processes in the future high-energy linear e+e− collider (LC) experiments with √s = 500 GeV and £int = 340 fb−1. We find that the new gauge boson Z′ is most sensitive to the process e+e− → bb̄. As long as MZ′ ⩽ 2 TeV, the absolute values of the relative correction parameter are larger than 5%. We calculate the forward-backward asymmetries and left-right asymmetries for the process e+e− → cc̄, with both the universal and anomaly-free fermion embeddings. Bounds on Z′ masses are also estimated within 95% confidence level.