Lowest order QED radiative corrections to five-fold differential cross section of hadron leptoproduction

Abstract

The contribution of exclusive radiative tail to the cross section of semi-inclusive hadron leptoproduction has been calculated exactly for the first time. Although the experience of inclusive data analyses suggests us that the contribution of radiative tail from the elastic peak is of particular importance, similar effects in the semi-inclusive process were only recently estimated in the peaking approximation. The explicit expressions for the lepton part of the lowest order QED contribution of exclusive radiative tail to the five-fold differential cross section are obtained and discussed. Numerical estimates, provided within Jefferson Lab kinematic conditions, demonstrate rather large effects of the exclusive radiative tail in the region at semi-inclusive threshold and for high energy of detected hadron.

19 pages, 6 figures, 1 table

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• Semi-Inclusive ${\pi }_0$ target and beam-target asymmetries from 6 GeV electron scattering with CLAS
• Lowest order QED radiative effects in polarized SIDIS
• First measurement of unpolarized SIDIS cross section and cross section ratios from a ${}^3$He target
• Spin Orbit Correlations and the Structure of the Nucleon
• SIDIS-RC EvGen: a Monte-Carlo event generator of semi-inclusive deep inelastic scattering with the lowest-order QED radiative corrections
• Lowest-order QED radiative corrections in unpolarized elastic electron-deuteron scattering beyond the ultra-relativistic limit for the proposed deuteron charge radius measurement at Jefferson Laboratory
• Complete lowest order radiative corrections in semi-inclusive scattering of polarized particles
• Exact and Leading Order Radiative Effects in Semi-inclusive Deep Inelastic Scattering