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

TL;DR

This paper presents an exact calculation of the lowest order QED radiative corrections to the five-fold differential cross section in semi-inclusive hadron leptoproduction, highlighting significant effects in specific kinematic regions.

Contribution

It provides the first exact expressions for the exclusive radiative tail contribution to the cross section, improving upon previous peaking approximation estimates.

Findings

Large radiative tail effects near semi-inclusive threshold

Significant corrections at high hadron energies

Explicit formulas for QED contributions are derived

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.