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A new general parameterization with eight mixing parameters among Z, gammaand an extra neutral gauge boson Z' is proposed and subjected tophenomenological analysis. We show that in addition to the conventionalWeinberg angle theta_W, there are seven other phenomenological parameters G',xi, eta, theta_l, theta_r, r, l for the most general Z-gamma-Z' mixings, inwhich parameter G' arises due to the presence of an extra Stueckelberg-typemass coupling. Combined with the conventional Z-Z' mass mixing angle theta',the remaining six parameters xi, eta, theta_l-theta', theta_r-theta', r, l arecaused by general kinetic mixings. In all the eight phenomenological parameterstheta_W, G', xi, eta, theta_l, theta_r, r, l, we can determine the Z-Z' massmixing angle theta' and the mass ratio M_Z/M_Z'. The Z-gamma-Z' mixings wediscuss are based on the model-independent description of the extendedelectroweak chiral Lagrangian (EWCL) previous proposed by us. In addition, weshow that there are eight corresponding independent theoretical coefficients inour EWCL which are fully fixed by our eight phenomenological mixing parameters.We further find that the experimental measurability of these eight parametersdoes not rely on the extended neutral current for Z', but depends on the Z-Z'mass ratio.

Parameterization of General Z-gamma-Z' Mixings in an Electroweak Chiral Theory