Deep Inelastic Scattering with a Tagged Photon: QED Corrections for the $Σ$ Method

Details Deep Inelastic Scattering with a Tagged Photon: QED Corrections for the $Σ$ Method Deep Inelastic Scattering with a Tagged Photon: QED Corrections for the $Σ$ Method

1999-01-09

arxiv.org/abs/hep-ph/9901258v2

Eur.Phys.J.C9:69,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, LaTeX2e, 7 figs. Labels of fig.6 fixed (correct in journal)

Scientific paper

10.1007/s100520050514

After a brief review of the kinematics of deep inelastic scattering (DIS) within the so-called $\Sigma$ method, we derive the necessary formulae for the treatment of QED radiative corrections to DIS originating from hard photon radiation. The results are applied to a calculation of the corrections to DIS with a tagged photon with next-to-leading logarithmic accuracy under HERA conditions. It turns out that the next-to-leading order corrections are quite important for the $\Sigma$ method. We also discuss the dependence of the corrections on the longitudinal structure function of the proton, $F_L$, in the region of low $Q^2$ and moderate $x$.

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