Power corrections and renormalons in Transverse Momentum Distributions

TL;DR

This paper investigates the nature of power corrections in Transverse Momentum Distributions by analyzing renormalon divergences, revealing their dependence on variables and implications for TMD phenomenology.

Contribution

It identifies the sources of renormalon divergences in TMDs and discusses their variable dependence, providing new insights for TMD phenomenological modeling.

Findings

Renormalon divergences originate in the evolution kernel and matching coefficient.

Power corrections depend non-trivially on Bjorken x and transverse distance.

Guidelines for consistent TMD phenomenology are proposed.

Abstract

We study the power corrections to Transverse Momentum Distributions (TMDs) by analyzing renormalon divergences of the perturbative series. The renomalon divergences arise independently in two constituents of TMDs: the rapidity evolution kernel and the small-b matching coefficient. The renormalon contributions have a non-trivial dependence on the Bjorken variable and the transverse distance. We discuss the consistency requirements for power corrections for TMDs and suggest inputs for the TMD phenomenology in accordance with this study. Both unpolarized quark TMD parton distribution function and fragmentation function are considered.