Abstract
The rapidity anomalous dimension (RAD), or Collins-Soper kernel, defines the scaling properties of transverse momentum dependent distributions and can be extracted from the experimental data. I derive a self-contained nonperturbative definition that represents RAD without reference to a particular process. This definition makes possible exploration of the properties of RAD by theoretical methods on one side, and the properties of QCD vacuum with collider measurements on another side. To demonstrate these possibilities, I compute the power correction to RAD, its large-b asymptotic, and compare these estimations with recent phenomenological extractions.
Highlights
Introduction.—The nontrivial structure of the QCD vacuum raises a lot of fundamental and yet unsolved problems, such as mechanisms of quark confinement and hadronization
The rigorous formulation of the transverse momentum dependent (TMD) factorization theorem [3,4,5,6] has identified rapidity anomalous dimension (RAD) as an independent NP function that contains the information about soft-gluon exchanges between partons and dictates the evolution properties of TMD distributions
One of the main messages of this Letter is that RAD is an important function with a rich physical background, and must be seen as an independent distribution
Summary
Introduction.—The nontrivial structure of the QCD vacuum raises a lot of fundamental and yet unsolved problems, such as mechanisms of quark confinement and hadronization. The rapidity anomalous dimension (RAD), or CollinsSoper kernel, was introduced in Refs. The rigorous formulation of the TMD factorization theorem [3,4,5,6] has identified RAD as an independent NP function that contains the information about soft-gluon exchanges between partons and dictates the evolution properties of TMD distributions. One of the main messages of this Letter is that RAD is an important function with a rich physical background, and must be seen as an independent distribution.
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