Higher-order relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium
Aug, 201241 pages
Published in:
- JHEP 11 (2012) 020,
- JHEP 07 (2023) 170 (erratum)
- Published: Jul 21, 2023
e-Print:
- 1208.5301 [hep-ph]
DOI:
- 10.1007/JHEP11(2012)020,
- 10.1007/JHEP07(2023)170 (erratum)
Report number:
- ANL-HEP-PR-12-65,
- ANL-HEP-PR-12-65
View in:
Citations per year
Abstract: (arXiv)
We compute the relative-order-v^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 epsilon in 4-2epsilon 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 4-2epsilon 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-v^0 contribution. However, the order-v^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-alpha_s contribution in that channel.Note:
- 41 pages, 8 figures, 3 tables, minor corrections, version published in JHEP. Eq. (6.3) corrected. Incorporates erratum JHEP 07 (2023) 170 to JHEP 11 (2012) 020
- quarkonium
- fragmentation
- NRQCD
- relativistic corrections
- quantum chromodynamics: nonrelativistic
- gluon: fragmentation
- correction: relativistic
- regularization: dimensional
- quarkonium: hadroproduction
- phase space
References(1)
Figures(8)
- [1]