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We present estimates in the Hubbard and Heisenberg models for the spectralweight in magnetic neutron scattering experiments on the cuprates. With the aidof spin-wave theory and the time dependent Gutzwiller approximation we discusshow the spectral weight is distributed among the different channels and betweenhigh and low energies. In addition to the well known total moment sum rule wediscuss sum rules for each component of the dynamical structure factor tensorwhich are peculiar for spin 1/2 systems. The various factors that reduce thespectral weight at the relevant energies are singled out and analyzed like:shielding factors, weight at electronic energies, multimagnon process etc.Although about 10% ~ 15% of the naively expected weight is detected inexperiments after consideration of these factors the missing weight is withinthe experimental uncertainties. A large fraction of the spectral weight is hardto detect with present experimental conditions

Sum rules and missing spectral weight in magnetic neutron scattering in the cuprates