We propose a new factorized approach to QED radiative corrections (RCs) for inclusive and semi-inclusive deep-inelastic scattering to systematically account for QED and QCD radiation contributions to both processes on equal footing. The new treatment utilizes factorization to achieve this by resumming logarithmically enhanced QED radiation into universal lepton distribution and fragmentation (or jet) functions. Our framework provides a uniform treatment of RCs for extracting three-dimensional hadron structure from high-energy lepton-hadron scattering at current and future facilities, such as the Electron-Ion Collider.
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