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Measurements of the structure function \(xF_3^{\gamma Z}\) are now becoming available in charged lepton deep inelastic scattering at HERA. The correction factors which are necessary to compare these with measurements of \(xF_3^{\nu N}\) in neutrino-nucleon scattering are deduced and a comparison is made between the H1 and the CCFR data. A sum rule is derived for the structure function \(xF_3^{\gamma Z}\) measured in charged lepton scattering which is the analogue of the Gross Llewellyn-Smith sum rule for neutrino-nucleon scattering.

$$xF_3^{\gamma Z}$$ in charged lepton scattering