  We discuss entanglement and the violation of the CGLMP inequality in a system
of two vector bosons produced in the decay of a spin-0 particle. We assume the
most general CPT conserving, Lorentz-invariant coupling of the spin-0 particle
with the daughter bosons. We compute the most general two-boson density matrix
obtained by averaging over kinematical configurations with an appropriate
probability distribution (which can be obtained when both bosons subsequently
decay into fermion-antifermion). We show that the two-boson state is entangled
and violates the CGLMP inequality for all values of the (anomalous) coupling
constants and that in this case the state is entangled iff it can violate the
CGLMP inequality. As an exemplary process of this kind we use the decay $H\to
ZZ$ with anomalous coupling.
