Model Independent QED Corrections to the Processep → eX

Abstract

We give an exhaustive presentation of the semi-analytical approach to the model independent leptonic QED corrections to deep inelastic neutral current lepton-nucleon scattering. These corrections include photonic bremsstrahlung from and vertex corrections to the lepton current of the order O(α) with soft photon exponentiation. A common treatment of these radiative corrections in several variablesleptonic, hadronic, mixed, Jaquet-Blondel variables -has been developed and double differential cross sections are calculated. In all sets of variables we use some structure functions, which depend on the hadronic variables and which do not have to be defined in the quark parton model. The remaining numerical integrations are twofold (for leptonic variables) or onefold (for all other variables). For the case of hadronic variables, all phase space integrals have been performed analytically. Numerical results are presented for a large kinematical range, covering fixed target as well as collider experiments at HERA or LEP⊗LHC, with a special emphasis on HERA physics. † Supported by the Heisenberg-Landau fund.

QED radiative corrections in processes of exclusive pion electroproduction

“…Previously, this approach was applied for the calculation of RC for inclusive [4,5,6], semi-inclusive [7,8] and exclusive diffractive [9] reactions. Recent reviews of the approach, higher order effects and calculation for specific experiments can be found in papers [10,11,12]. Based on these results, a Fortran code POLRAD [13] for RC calculation in polarized inclusive and semi-inclusive processes was devel-oped.…”

“…[10]. Integration is straightforward, but it contains an integral usually associated with a so-called S φ function in the Bardin and Shumeiko approach.…”

Leptonic O(α2L) radiative corrections to deep-inelastic ep scattering in mixed variables

“…[17]. In this letter we calculate the leptonic QED corrections to deeply inelastic ep scattering, where we define the double-differential scattering cross section choosing mixed variables [8,2,5]…”

COMPASS Hadron Multiplicity Measurements and Fragmentation Functions

“…The correction is largest for low Q 2 data and can reach 0.55 at high z. The (x, y) dependent radiative corrections are calculated using the programme TERAD [3].…”