Radiative corrections to the lepton current in unpolarized elastic $lp$-interaction for fixed $Q^2$ and scattering angle

Abstract

The kinematical difference between the description of radiative effects for fixed $Q^2$ vs a fixed scattering angle in the elastic lepton-proton ($lp$)-scattering is discussed. The technique of calculation as well as explicit expressions for radiative corrections to the lepton current in unpolarized elastic $lp$-scattering for these two cases are presented without using an ultrarelativistic approximation. A comparative numerical analysis within kinematic conditions of Jefferson Lab measurements and MUSE experiment in PSI is performed.

arXiv comment12 pages, 5 figures, published in European Physical Journal A Topical Issue 'An Experimental Program with Positron Beams at Jefferson Lab'

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• Instrumental uncertainties in radiative corrections for the MUSE experiment
• Complete lowest order radiative corrections in semi-inclusive scattering of polarized particles
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies
• Vanishing cycles and analysis of singularities of Feynman diagrams