High-Energy Inelastic Neutrino-Nucleon Interactions

Abstract

We discuss high-energy inelastic neutrino-nucleon processes in the light of recent theoretical and experimental developments for the corresponding electroproduction processes. We review the kinematics for the process in a form especially convenient for experimental analysis. We discuss sum rules and results related to current commutation relations. Consequences of the parton model and diffractive models are considered. Other results are: (1) The vector and axial-vector contributions to the total cross section are equal, provided the only symmetry-breaking term in the energy density transforms like a quark-mass term under $U\left(6\right)\mathrm{}\otimes U\left(6\right)\mathrm{}$. (2) Scale invariance of one of the three form factors ($\nu \beta$ or $\nu {\mathrm{W}}_2$) describing the process implies a neutrino total cross section which rises linearly with laboratory energy, provided the lepton current is local and there is no $W$ boson. The effect of a $W$ boson on this result is studied. (3) The relation of existing neutrino data and electroproduction data given by the conserved-vector-current hypothesis is studied and found compatible with experiment.