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

John Collins

Research output: Contribution to journalConference article

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 nonperturbative 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.

Original languageEnglish (US)
JournalProceedings of Science
VolumePart F128562
StatePublished - Jan 1 2016
Event2016 QCD Evolution Workshop, QCDEV 2016 - Amsterdam, Netherlands
Duration: May 30 2016Jun 3 2016

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Factorization Theorem
Fragmentation
Graph in graph theory
Perturbation Theory
Factorization
Strictly
Strings
Model

All Science Journal Classification (ASJC) codes

  • General

Cite this

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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 nonperturbative 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.",
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Do fragmentation functions in factorization theorems correctly treat non-perturbative effects? / Collins, John.

In: Proceedings of Science, Vol. Part F128562, 01.01.2016.

Research output: Contribution to journalConference article

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