Complete O($\alpha$) QED corrections to the process $ep\to eX$ in mixed variables

Abstract

The complete set of $\mathcal{O}(\alpha )$ QED corrections with soft photon exponentiation to the process $ep\to eX$ in mixed variables ($y=y_h,Q^2=Q_l^2$) is calculated in the quark parton model, including the lepton-quark interference and the quarkonic corrections which were unknown so far. The interference corrections amount to few percent or less and become negligible at small $x$. The leading logarithmic terms proportional to $\ln (Q^2/m_q^2)$ from radiation off quarks are discussed and the non-logarithmic quarkonic corrections found to be negligible for almost all experimentally accessible $x$ and $y$.

10 pages, latex, 5 figures, 2 tables, a uuencoded file containing the latex file and figures is available via anonymous ftp at ftp://ftp.ifh.de/pub/preprint/desy95-085.uu Section 3, 2 figures and 2 tables have been added. The revised version will appear in Phys. Lett. B

References in corpus (1)

• $\mathcal{O}({\alpha }^2{L}^2)$ radiative corrections to deep inelastic $ep$ scattering for different kinematical variables

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