Difference Betweene+ande−Deep-Inelastic Scattering

We show that the existence of pointlike constituents within the nucleon makes it plausible that scale-breaking effects due to higher-order electromagnetic corrections in deep-inelastic scattering will be of order $\alpha {\ln }^2(-\frac{q^2}{{\mu }^2})$ in the region $s_{\mathrm{ep}}\gg 1$ ${\mathrm{}\left(\mathrm{GeV}\right)\mathrm{}}^2$ and large electron scattering angles. Additionally we are led to conclude that, when the final electron energy is finite in the laboratory frame, the difference of electron and positron deep-inelastic scattering is of order $\alpha {\ln }^2(-\frac{q^2}{{\mu }^2})$ rather than of order $\alpha$. We discuss the possible measurement of this difference and what we may learn from such a measurement.