Order-ν 4 relativistic corrections to gluon fragmentation into 3S 1 quarkonium

Geoffrey T. Bodwin, U. Rae Kim, Jungil Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We compute the relativistic corrections to the color-singlet contribution to gluon fragmentation into a J/ψ at relative order ν 4, making use of the nonrelativistic QCD (NRQCD) factorization approach. The corresponding full-QCD process exhibits infrared divergences that manifest themselves as single and double poles in ε in 4-2ε dimensions. We isolate the infrared-divergent contributions and treat them analytically. In the matching of full QCD to NRQCD, the pole contributions are absorbed into long-distance NRQCD matrix elements. The renormalizations of the ultraviolet divergences of the long-distance NRQCD matrix elements involve Born and one-loop single-pole counterterm contributions and Born double-pole counterterm contributions. While the order-ν 4 contribution enhances the J/ψ hadroproduction rate for the color-singlet channel substantially, this contribution is not important numerically in comparison with the color-octet contributions. We also find that the 3P J color-octet channel in the gluon fragmentation function contributes to J/ψ hadroproduction significantly in comparison with the complete contribution of next-to-leading order in α s in that channel.

Original languageEnglish
Title of host publicationProceedings of Science
Publication statusPublished - 2012
Event10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012 - Munich, Germany
Duration: 2012 Oct 82012 Oct 12

Other

Other10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012
CountryGermany
CityMunich
Period12/10/812/10/12

Fingerprint

fragmentation
quantum chromodynamics
poles
color
octets
divergence
matrices
factorization

ASJC Scopus subject areas

  • General

Cite this

Order-ν 4 relativistic corrections to gluon fragmentation into 3S 1 quarkonium . / Bodwin, Geoffrey T.; Kim, U. Rae; Lee, Jungil.

Proceedings of Science. 2012.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bodwin, GT, Kim, UR & Lee, J 2012, Order-ν 4 relativistic corrections to gluon fragmentation into 3S 1 quarkonium in Proceedings of Science. 10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012, Munich, Germany, 12/10/8.
Bodwin, Geoffrey T. ; Kim, U. Rae ; Lee, Jungil. / Order-ν 4 relativistic corrections to gluon fragmentation into 3S 1 quarkonium Proceedings of Science. 2012.
@inproceedings{4dc53639ace242b19b9d3614cd3e0d26,
title = "Order-ν 4 relativistic corrections to gluon fragmentation into 3S 1 quarkonium",
abstract = "We compute the relativistic corrections to the color-singlet contribution to gluon fragmentation into a J/ψ at relative order ν 4, making use of the nonrelativistic QCD (NRQCD) factorization approach. The corresponding full-QCD process exhibits infrared divergences that manifest themselves as single and double poles in ε in 4-2ε dimensions. We isolate the infrared-divergent contributions and treat them analytically. In the matching of full QCD to NRQCD, the pole contributions are absorbed into long-distance NRQCD matrix elements. The renormalizations of the ultraviolet divergences of the long-distance NRQCD matrix elements involve Born and one-loop single-pole counterterm contributions and Born double-pole counterterm contributions. While the order-ν 4 contribution enhances the J/ψ hadroproduction rate for the color-singlet channel substantially, this contribution is not important numerically in comparison with the color-octet contributions. We also find that the 3P J color-octet channel in the gluon fragmentation function contributes to J/ψ hadroproduction significantly in comparison with the complete contribution of next-to-leading order in α s in that channel.",
author = "Bodwin, {Geoffrey T.} and Kim, {U. Rae} and Jungil Lee",
year = "2012",
language = "English",
booktitle = "Proceedings of Science",

}

TY - GEN

T1 - Order-ν 4 relativistic corrections to gluon fragmentation into 3S 1 quarkonium

AU - Bodwin, Geoffrey T.

AU - Kim, U. Rae

AU - Lee, Jungil

PY - 2012

Y1 - 2012

N2 - We compute the relativistic corrections to the color-singlet contribution to gluon fragmentation into a J/ψ at relative order ν 4, making use of the nonrelativistic QCD (NRQCD) factorization approach. The corresponding full-QCD process exhibits infrared divergences that manifest themselves as single and double poles in ε in 4-2ε dimensions. We isolate the infrared-divergent contributions and treat them analytically. In the matching of full QCD to NRQCD, the pole contributions are absorbed into long-distance NRQCD matrix elements. The renormalizations of the ultraviolet divergences of the long-distance NRQCD matrix elements involve Born and one-loop single-pole counterterm contributions and Born double-pole counterterm contributions. While the order-ν 4 contribution enhances the J/ψ hadroproduction rate for the color-singlet channel substantially, this contribution is not important numerically in comparison with the color-octet contributions. We also find that the 3P J color-octet channel in the gluon fragmentation function contributes to J/ψ hadroproduction significantly in comparison with the complete contribution of next-to-leading order in α s in that channel.

AB - We compute the relativistic corrections to the color-singlet contribution to gluon fragmentation into a J/ψ at relative order ν 4, making use of the nonrelativistic QCD (NRQCD) factorization approach. The corresponding full-QCD process exhibits infrared divergences that manifest themselves as single and double poles in ε in 4-2ε dimensions. We isolate the infrared-divergent contributions and treat them analytically. In the matching of full QCD to NRQCD, the pole contributions are absorbed into long-distance NRQCD matrix elements. The renormalizations of the ultraviolet divergences of the long-distance NRQCD matrix elements involve Born and one-loop single-pole counterterm contributions and Born double-pole counterterm contributions. While the order-ν 4 contribution enhances the J/ψ hadroproduction rate for the color-singlet channel substantially, this contribution is not important numerically in comparison with the color-octet contributions. We also find that the 3P J color-octet channel in the gluon fragmentation function contributes to J/ψ hadroproduction significantly in comparison with the complete contribution of next-to-leading order in α s in that channel.

UR - http://www.scopus.com/inward/record.url?scp=84887512418&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887512418&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887512418

BT - Proceedings of Science

ER -