Power corrections in Drell-Yan production beyond the leading order

TL;DR

This paper investigates power-suppressed corrections to the Drell–Yan cross-section beyond leading order by two complementary routes. The Wilson-line approach links nonperturbative effects to matrix elements of derivatives of a Wilson line, predicting a potential linear $N/Q$ term from $ig<irac{dW}{dy_0}(0)ig>$, with nonabelian dynamics appearing at higher orders. Simultaneously, IR renormalon analysis tests the presence of such linear terms and finds the leading renormalon structure does not generate a linear contribution at one loop, pushing possible effects to higher orders in $ ext{a}_s$ and requiring nonabelian diagrams. The study concludes that initial-state interactions introduce a distinct source of $N/Q$ power corrections in DY, while KLN cancellations can suppress these effects in fully summed observables, thereby refining the understanding of nonperturbative corrections in DY.

Abstract

We study the power corrections to the cross-section of Drell-Yan production within the Wilson line approach and apply the methods of QCD asymptotic dynamics to identify the leading renormalon contribution.