Bounds for $Z^{\prime }$ Mass in 3-3-1 Models from $e^{+}$ $e^{-}$ Collisions at ILC and CLIC Energies

Abstract

We obtain bounds for the mass of the extra neutral gauge boson, $Z^{\prime }$, predicted by two versions of $SU(3{)}_C\times SU(3{)}_L\times U(1{)}_X$ model, namely one corresponding to its minimal version and another where the neutrinos are allowed to have right-handed projection. We explore $\sqrt{s}$ from 0.5 TeV to 5 TeV region, that will be accessible in next linear colliders (ILC and CLIC). We used the process $e^{+}+e^{-}⟶f^{+}+f^{-}$, with $f=\mu$, $c$ and $b$ to obtain the energy dependent lower bounds for $M_{Z^{\prime }}$, within 95% C.L., by performing a ${\chi }^2$ fit of the difference between the final lepton angular distribution calculated from the SM and that predicted by the 3-3-1 models, for a zero mixing angle. In addition we show that, as the angular distributions depends on $Z^{\prime }$ couplings, the obtained bounds allow one for disentangle the studied models. Finally, using the model with right-handed neutrinos, we calculate the total cross section for $e^{+}+e^{-}⟶e^{+}+e^{-}+e^{+}+e^{-}$. We concluded that $Z^{\prime }$ contribution is very small when compared with the bilepton contribution of the minimal version and with the SM cross section.

Comments: 20 pages, 6 figures, 2 tables