Consequences of the scale-invariant parton model for deep-inelastic neutrino scattering

Abstract

The scale-invariant parton model is used to obtain the consequences of short-distance scale invariance for deep-inelastic neutrino processes. We first generalize the model to incorporate quantum numbers. The moments of structure functions are power-behaved functions of $Q^2$, thus violating Bjorken scaling in a systematic way. We find that the total neutrino cross section and the average neutrino energy loss scale canonically. However, the mean squared momentum $〈Q^2〉$ divided by the neutrino energy $E$ falls as a power of $E$, thus providing a sensitive test of the breakdown of canonical scaling. Furthermore, the ratio of neutrino to antineutrino cross sections on particular hadrons is predicted to approach unity at extreme energies. These results are compared with those of other theories of the breakdown of canonical scaling.