Paper
Unification of the $k_T$ and threshold resummations
Authors
Hsiang-nan Li
Abstract
We derive a resummation formula for a -dependent parton distribution function at threshold, where is a parton transverse momentum. The derivation requires infrared cutoffs for both longitudinal and transverse loop momenta as evaluating soft gluon emissions in the Collins-Soper resummation framework. This unified resummation exhibits suppression at large , being the conjugate variable of , which is similar to the resummation, and exhibits enhancement at small , similar to the threshold resummation.