Nature of nonperturbative effects in lepton-nucleon scattering

Abstract

There is evidence for substantial nonperturbative effects in the structure functions extracted from deep-inelastic lepton-nucleon scattering. These effects have a major impact on ${\ensuremath{\alpha}}_{s}$ and $\ensuremath{\Lambda}$ determinations. Results which I reported previously for $\ensuremath{\mu}N$ and $\ensuremath{\nu}N$ scattering (${F}_{2}$ and $x{F}_{3}$) are extended to include $\mathrm{ed}$ data which are at lower ${W}^{2}$ and higher $x$ and have extremely high statistics. Possible analytical forms for higher-twist terms and for ${\ensuremath{\alpha}}_{s}$ are considered in detail here using $\ensuremath{\mu}N$, $\ensuremath{\nu}N$, and $\mathrm{ed}$ data.