Higher-order relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium

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

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We compute the relative-order-ν 4 contribution to gluon fragmentation into quarkonium in the 3S1 color-singlet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared divergences that produce single and double poles in ε in 4-2ε dimensions. We devise subtractions that isolate the pole contributions, which ultimately are absorbed into long-distance NRQCD matrix elements in the NRQCD matching procedure. The matching procedure involves two-loop renormalizations of the NRQCD operators. The subtractions are integrated over the phase space analytically in 4-2ε dimensions, and the remainder is integrated over the phase-space numerically. We find that the order-v 4 contribution is enhanced relative to the order-ν 0 contribution. However, the order-ν 4 contribution is not important numerically at the current level of precision of quarkonium-hadroproduction phenomenology. We also estimate the contribution to hadroproduction from gluon fragmentation into quarkonium in the 3PJ color-octet channel and find that it is significant in comparison to the complete next-to-leading-order-in-αs contribution in that channel.

Original languageEnglish
Article number020
JournalJournal of High Energy Physics
Volume2012
Issue number11
DOIs
Publication statusPublished - 2012 Nov 19

Fingerprint

S waves
fragmentation
quantum chromodynamics
subtraction
poles
color
octets
phenomenology
factorization
divergence
operators
estimates
matrices

Keywords

  • Hadronic Colliders
  • NLO Computations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Higher-order relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium. / Bodwin, Geoffrey T.; Kim, U. Rae; Lee, Jungil.

In: Journal of High Energy Physics, Vol. 2012, No. 11, 020, 19.11.2012.

Research output: Contribution to journalArticle

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N2 - We compute the relative-order-ν 4 contribution to gluon fragmentation into quarkonium in the 3S1 color-singlet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared divergences that produce single and double poles in ε in 4-2ε dimensions. We devise subtractions that isolate the pole contributions, which ultimately are absorbed into long-distance NRQCD matrix elements in the NRQCD matching procedure. The matching procedure involves two-loop renormalizations of the NRQCD operators. The subtractions are integrated over the phase space analytically in 4-2ε dimensions, and the remainder is integrated over the phase-space numerically. We find that the order-v 4 contribution is enhanced relative to the order-ν 0 contribution. However, the order-ν 4 contribution is not important numerically at the current level of precision of quarkonium-hadroproduction phenomenology. We also estimate the contribution to hadroproduction from gluon fragmentation into quarkonium in the 3PJ color-octet channel and find that it is significant in comparison to the complete next-to-leading-order-in-αs contribution in that channel.

AB - We compute the relative-order-ν 4 contribution to gluon fragmentation into quarkonium in the 3S1 color-singlet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared divergences that produce single and double poles in ε in 4-2ε dimensions. We devise subtractions that isolate the pole contributions, which ultimately are absorbed into long-distance NRQCD matrix elements in the NRQCD matching procedure. The matching procedure involves two-loop renormalizations of the NRQCD operators. The subtractions are integrated over the phase space analytically in 4-2ε dimensions, and the remainder is integrated over the phase-space numerically. We find that the order-v 4 contribution is enhanced relative to the order-ν 0 contribution. However, the order-ν 4 contribution is not important numerically at the current level of precision of quarkonium-hadroproduction phenomenology. We also estimate the contribution to hadroproduction from gluon fragmentation into quarkonium in the 3PJ color-octet channel and find that it is significant in comparison to the complete next-to-leading-order-in-αs contribution in that channel.

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