English

Do fragmentation functions in factorization theorems correctly treat non-perturbative effects?

High Energy Physics - Phenomenology 2017-09-05 v1

Abstract

Current all-orders proofs of factorization of hard processes are made by extracting the leading power behavior of Feynman graphs, i.e., by extracting asymptotics strictly order-by-order in perturbation theory. The resulting parton densities and fragmentation functions include non-perturbative effects. I show how there are missing elements in the proofs; these are related to and exemplified by string and cluster models of hadronization. The proofs rely on large rapidity differences between different parts of graphs for the process; but in reality large rapidity gaps are filled in

Keywords

Cite

@article{arxiv.1610.09994,
  title  = {Do fragmentation functions in factorization theorems correctly treat non-perturbative effects?},
  author = {John Collins},
  journal= {arXiv preprint arXiv:1610.09994},
  year   = {2017}
}

Comments

10 pages. To appear in Proceedings of QCD Evolution 2016 Workshop, May 30-June 3

R2 v1 2026-06-22T16:37:43.154Z