Mean Value Sum Rules and Test of Scale Breaking

We propose sum rules which can be used for testing the scaling hypothesis and its powerlike.breakdown in deep inelastic neutrino scattering. These sum rules are written in terms of the mean values of quantities determined solely by the outgoing leptons. By com-paring with the latest CERN-Gargamelle data, we find that the Oth moment of a structure function is still consistent with scaling. However, the 1st moment may have a scale break-ing. In order to test such scale breaking more quantitatively, experimental determination of <E''), <v'), <vE'), etc., is highly desirable in the near future. The recent experimental results with high energy neutrino beams1> ' 2l are almost consistent with the scaling hypothesis8> predicted by the parton model,'> though the present data do not rule out breaking of scaling. Although the parton model has much more predictive power for neutrino processes•> than fo