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

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ASJC Scopus subject areas

  • General

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