Consequences of Scaling for Neutrino Interactions

It is shown that the scaling of all three structure functions implies bounds for the mean values of $\frac{E_{\mu }}{E_{\nu }}$ and $\frac{Q^2}{2M} E_{\nu }$. When the bounds are analyzed in view of the recent CERN data, they become so restrictive that they essentially reduce to equalities. Bounds for $\frac{Q^2}{2M} E_{\nu }$ are translated into bounds for the integral $\int x{F}_2^{\nu N}\mathrm{}\left(x\right)\mathrm{dx}$ and are compared with the corresponding integral in electroproduction. Effects induced by the presence of an intermediate vector boson or heavy leptons are also analyzed.