Neutrino Energy Loss Rates in 3-3-1 Models

The stellar energy-loss rates $\mathcal{Q}$ due to the production of neutrino pair in the framework of 3-3-1 models are presented. The energy loss rate $\mathcal{Q}$ is evaluated for different values of $\beta=\pm\fr{1}{\sqrt{3}},\pm\fr{2}{\sqrt{3}},\pm\sqrt{3}$ in which $\beta$ is a parameter used to define the charge operator in the 3-3-1 models. The correction to the rate which is compared with that of the Standard Model ($\de \mathcal{Q}$) is also evaluated. We show that the correction does not exceed 14\% and %is gets the highest with $\beta=-\sqrt{3}$. The contribution of dipole moment to the energy loss rate is small compared to the contribution of new natural gauge boson $Z'$ and this sets constraints for the mass of Z' $m_{Z'} \leq 4000$ GeV. This mass range is within the searching range for $Z'$ boson at LHC.