Set of sum rules for anomalous gauge boson couplings - art. no. 053002

The dependence of the differential cross section for on-shell W-pair produc tion on the anomalous trilinear gauge couplings invariant under C and P is examined. It is shown that the contributions of the anomalous magnetic mome nts of the W boson due to the photon and the Z can be individually projecte d out by means of two appropriately constructed polynomials. The remaining four anomalous couplings are shown to satisfy a set of model-independent su m rules. Specific models which predict special relations among the anomalou s couplings are then studied, in particular, the composite model of Brodsky and Hiller and linear and non-linear effective Lagrangian approaches. The relations predicted by these models, when combined with the aforementioned sum rules, give rise to definite predictions, particular to each model. The se predictions can be used, at least in principle, in order to exclude or c onstrain such models. Finally, we present an elementary discussion of the s tatistical properties of the proposed observables. [S0556-2821(99)04505-1].