Leptonic QED Corrections to the process $ep⟶eX$ in Jaquet-Blondel variables

Abstract

For the study of deep inelastic scattering at HERA, the use of Jaquet-Blondel variables is advantageous in several respects. We calculate the complete leptonic $\mathcal{O}(\alpha )$ QED corrections for the reaction $ep\to eX$ in these variables. All but one phase space integrations are performed analytically. After exponentiation of soft photon corrections, an accuracy of at least 1% is matched. Numerical results are presented and compared to estimates based on the leading logarithmic approximation. Equation (17) is corrected in accordance with equation (7.44) of DESY 94--115. The misprint did not influence the numerics.

Comments: 9 pages, 1 figure, 1 table; Corrected Eq. (17) in the paper published in Phys. Lett. B301: 447-453, 1993, the numerics are unaffected by this misprint