Radiative corrections for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>p</mml:mi><mml:mo>)</mml:mo></mml:math>reactions at GeV energies

A general framework for applying radiative corrections to ${(e,e}^{\ensuremath{'}}p)$ coincidence reactions at GeV energies is presented, with special emphasis to higher-order bremsstrahlung effects, radiation from the scattered hadron, and the validity of peaking approximations. The sensitivity to the assumptions made in practically applying radiative corrections to ${(e,e}^{\ensuremath{'}}p)$ data is extensively discussed. The general framework is tested against experimental data of the ${}^{1}\mathrm{H}{(e,e}^{\ensuremath{'}}p)$ reaction at momentum transfer values larger than $1.0 (\mathrm{GeV}{/c)}^{2},$ where radiative processes become a dominant source of uncertainty. The formulas presented here can easily be modified for any other electron-induced coincidence reaction.