Factorization of low-energy gluons in exclusive processes

Geoffrey T. Bodwin, Xavier Garcia I Tormo, Jungil Lee

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we examine the process of e+e- annihilation through a virtual photon into two light mesons. In an intermediate step, we establish a factorized form that contains a soft function that is free of collinear divergences. In contrast, in soft-collinear effective theory, the low-energy collinear modes factor most straightforwardly into the soft function. We point out that the cancellation of the soft function, which relies on the color-singlet nature of the external hadrons, fails when the soft function contains low-energy collinear modes.

Original languageEnglish
Article number114005
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume81
Issue number11
DOIs
Publication statusPublished - 2010 Jun 4

Fingerprint

gluons
factorization
energy
hadrons
cancellation
divergence
mesons
color
photons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Factorization of low-energy gluons in exclusive processes. / Bodwin, Geoffrey T.; Garcia I Tormo, Xavier; Lee, Jungil.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 11, 114005, 04.06.2010.

Research output: Contribution to journalArticle

@article{48264d37ffbe40ea9f02c94273bca9e8,
title = "Factorization of low-energy gluons in exclusive processes",
abstract = "We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we examine the process of e+e- annihilation through a virtual photon into two light mesons. In an intermediate step, we establish a factorized form that contains a soft function that is free of collinear divergences. In contrast, in soft-collinear effective theory, the low-energy collinear modes factor most straightforwardly into the soft function. We point out that the cancellation of the soft function, which relies on the color-singlet nature of the external hadrons, fails when the soft function contains low-energy collinear modes.",
author = "Bodwin, {Geoffrey T.} and {Garcia I Tormo}, Xavier and Jungil Lee",
year = "2010",
month = "6",
day = "4",
doi = "10.1103/PhysRevD.81.114005",
language = "English",
volume = "81",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics Publising LLC",
number = "11",

}

TY - JOUR

T1 - Factorization of low-energy gluons in exclusive processes

AU - Bodwin, Geoffrey T.

AU - Garcia I Tormo, Xavier

AU - Lee, Jungil

PY - 2010/6/4

Y1 - 2010/6/4

N2 - We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we examine the process of e+e- annihilation through a virtual photon into two light mesons. In an intermediate step, we establish a factorized form that contains a soft function that is free of collinear divergences. In contrast, in soft-collinear effective theory, the low-energy collinear modes factor most straightforwardly into the soft function. We point out that the cancellation of the soft function, which relies on the color-singlet nature of the external hadrons, fails when the soft function contains low-energy collinear modes.

AB - We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we examine the process of e+e- annihilation through a virtual photon into two light mesons. In an intermediate step, we establish a factorized form that contains a soft function that is free of collinear divergences. In contrast, in soft-collinear effective theory, the low-energy collinear modes factor most straightforwardly into the soft function. We point out that the cancellation of the soft function, which relies on the color-singlet nature of the external hadrons, fails when the soft function contains low-energy collinear modes.

UR - http://www.scopus.com/inward/record.url?scp=77954420738&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954420738&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.81.114005

DO - 10.1103/PhysRevD.81.114005

M3 - Article

AN - SCOPUS:77954420738

VL - 81

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 11

M1 - 114005

ER -