Factorization of power corrections in the Drell-Yan process in EFT

We examine the quark-induced Drell-Yan process at next-to-leading power (NLP) in Soft-Collinear Effective Theory. Using an approach with no explicit soft or collinear modes, we discuss factorization of differential cross section small-$q_T$ hierarchy $q^2\gg q_T^2\gg\Lambda_{\mathrm{QCD}}^2$. show that may be written terms matrix elements power-suppressed operators $T_{(i,j)}$, which contribute to $O(q_T^2/q^2)$ coefficients usual parton distribution functions. derive a for this observable NLP allows large logarithms each relevant factors resummed. cancellation rapidity divergences and overlap subtractions required eliminate double counting power.