IV. Discussion

One of the principal aims of recent deep-inelastic neutrino experiments has been to investigate the violations of Bjorken scaling due to the nonscaling behavior of the strong interactions at short distances (strong radiative corrections). In Fig. 14 we show the corrections induced by these effects according to quantum chromodynamics (QCD), with standard input parameters. (8) They are typically somewhat larger than the electromagnetic radiative corrections presented above, but it is evident that the latter must be considered in a detailed comparison of experimental results with theoretical predictions. Strong interactions affect only the hadronic vertex, but electromagnetic ones affect both hadronic and leptonic vertices, so that while strong-interaction corrections depend only on and , electromagnetic corrections also depend on the incoming energy . The dependence is slight except at large , but it could perhaps be used to distinguish strong and electromagnetic scaling violations.

[ Figure 14 ] Typical QCD corrections to various double-differential cross-sections for scattering.

The typical magnitude of the electromagnetic radiative corrections to neutrino scattering found in this paper indicates that these effects should not be of great importance for previously published results, but must be considered in the next generation of experiments.

It should be emphasized again that our parton-model calculations are valid only in the kinematic region where all outgoing particles are relativistic, and also take no account of electromagnetic effects in the multihadron final state. Our results should therefore be treated only as estimates, rather than exact values for electromagnetic radiative corrections.

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