We present a new factorized approach to inclusive and semi-inclusive deep-inelastic scattering which treats QED and QCD radiationon equal footing, and provides a systematically improvable approximation to the extraction of collinear and transverse momentum dependent parton distributions.
We demonstrate how the QED contributions can be well approximated by collinear factorization, and illustrate the application of the factorized approach to QED radiation in inclusive scattering. For semi-inclusive processes, we show how radiation effects prevent a well-defined "photon-hadron" frame and illustrate the utility of the new method by explicit application to the spin-dependent Sivers and Collins asymmetries.