Signatures of Heavy Z-prime in the Extra U(1) Superstring Inspired Model: RGEs Analysis

In the extra U(1) superstring inspired model, we examine the electroweak and U(1)-prime symmetry breaking with the singlet and exotic quark D, D+{\c}along with the study of heavy Z-prime boson in accordance with the top quark mass region. For this, we have done the analysis of complete renormalization group equations (RGEs)pertaining to the anomaly free E-{\6}-Eta model of rank 5. The Z-prime is found to the order of TeV or above with allowed small Z-Zprime mixing angle, for which the large singlet VEV is required. This is done by considering the only non-universality of Yukawa couplings at GUT scale because these do not obey the E-{\6}relationship and also satisfies the unitarity constraints both at GUT and weak scale, where rest of the parameters, i.e., gaugino masses, tri-linear couplings, and soft supersymmetric breaking masses are kept universal at GUT scale with the gauge couplings unification. The large value of Yukawa couplings (order of 1) triggered the symmetry breaking radiatively and induces the effective-Mu parameter at the electroweak scale and lead to a viable low energy spectrum at weak scale.