Operator mixing and scaling deviations in asymptotically free field theories

Abstract

Predictions of asymptotically free field theories for scaling deviations of the structure functions are compared with recent SLAC and Fermilab data on deep-inelastic lepton-hadron scattering. Contributions of nonsinglet as well as singlet Wilson operators are taken into account. The latter contributions are found to be non-negligible; specifically it is observed, in agreement with neutrino data, that about 60% of the proton's momentum is due to gluons. The expected quantitative pattern of scaling violations is given for a large range of $\omega$ and $Q^2$.