  The dependence of the differential cross-section for on-shell W-pair
production on the anomalous trilinear gauge couplings invariant under C and P
is examined. It is shown that the contributions of the anomalous magnetic
moments of the W boson due to the photon and the Z can be individually
projected out by means of two appropriately constructed polynomials. The
remaining four anomalous couplings are shown to satisfy a set of
model-independent sum rules. Specific models which predict special relations
among the anomalous couplings are then studied; in particular, the composite
model of Brodsky and Hiller, and the 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. These predictions can be used, at least in principle, in order to
exclude or constrain such models.
