Quantization and renormalization of the left right symmetric model is the main purpose of the paper. First the model at tree level with a Higgs sector containing one bidoublet and two triplets is precisely discussed. Then the canonical quantization and Faddeev Popov Lagrangian are carried out ('t Hooft gauge). The BRST symmetry is discussed. Subsequently the on-mass-shell renormalization is performed and, as a test of consistency, the renormalization of the ZN i N j vertex is analyzed.
Precision experiments, such as those performed at LEP and SLC, offer us an
excellent opportunity to constrain extended gauge model parameters. To this
end, it is often assumed, that in order to obtain more reliable estimates, one
should include the sizable one--loop Standard Model (SM) corrections, which
modify the $Z^0$ couplings as well as other observables. This conviction is
based on the belief that the higher order contributions from the ``extension
sector'' will be numerically small. However, the structure of higher order
corrections can be quite different when comparing the SM with its extension,
thus one should avoid assumptions which do not care about such facts. This is
the case for all models with $\rho_{\rm tree} \equiv
M_W^2/(M_{Z}^2\cos^2{\Theta_W}) \neq 1$. As an example, both the manifest
left-right symmetric model and the $SU(2)_L \otimes U(1)_Y \otimes
\tilde{U}(1)$ model, with an additional $Z'$ boson, are discussed and special
attention to the top contribution to $\Delta \rho$ is given. We conclude that
the only sensible way to confront a model with the experimental data is to
renormalize it self-consistently, if not, parameters which depend strongly on
quantum effects should be left free in fits, though essential physics is lost
in this way. We should note that arguments given here allow us to state that at
the level of loop corrections (indirect effects) there is nothing like a
``model independent global analysis'' of the data.Comment: 10 page
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.