English

Self-contained definition of the Collins-Soper kernel

High Energy Physics - Phenomenology 2020-11-11 v2 High Energy Physics - Theory

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.

Cite

@article{arxiv.2003.02288,
  title  = {Self-contained definition of the Collins-Soper kernel},
  author = {Alexey A. Vladimirov},
  journal= {arXiv preprint arXiv:2003.02288},
  year   = {2020}
}

Comments

5 pages, 3 figures; v2. minor changes, update to the journal version

R2 v1 2026-06-23T14:04:12.299Z