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Title: Gluon fragmentation into quarkonium at next-to-leading order

Here, we present the first calculation at next-to-leading order (NLO) in α s of a fragmentation function into quarkonium whose form at leading order is a nontrivial function of z, namely the fragmentation function for a gluon into a spin-singlet S-wave state at leading order in the relative velocity. To calculate the real NLO corrections, we introduce a new subtraction scheme that allows the phase-space integrals to be evaluated in 4 dimensions. We extract all ultraviolet and infrared divergences in the real NLO corrections analytically by calculating the phase-space integrals of the subtraction terms in 4 – 2ϵ dimensions. We also extract the divergences in the virtual NLO corrections analytically, and detail the cancellation of all divergences after renormalization. The NLO corrections have a dramatic effect on the shape of the fragmentation function, and they significantly increase the fragmentation probability.
Authors:
 [1] ;  [2]
  1. Univ. Catholique de Louvain, Louvain-la-Neuve (Belgium). Centre for Cosmology, Particle Physics and Phenomenology (CP3)
  2. The Ohio State Univ., Columbus, OH (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
SC0011726
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO Computations; QCD Phenomenology
OSTI Identifier:
1455045

Artoisenet, Pierre, and Braaten, Eric. Gluon fragmentation into quarkonium at next-to-leading order. United States: N. p., Web. doi:10.1007/JHEP04(2015)121.
Artoisenet, Pierre, & Braaten, Eric. Gluon fragmentation into quarkonium at next-to-leading order. United States. doi:10.1007/JHEP04(2015)121.
Artoisenet, Pierre, and Braaten, Eric. 2015. "Gluon fragmentation into quarkonium at next-to-leading order". United States. doi:10.1007/JHEP04(2015)121. https://www.osti.gov/servlets/purl/1455045.
@article{osti_1455045,
title = {Gluon fragmentation into quarkonium at next-to-leading order},
author = {Artoisenet, Pierre and Braaten, Eric},
abstractNote = {Here, we present the first calculation at next-to-leading order (NLO) in α s of a fragmentation function into quarkonium whose form at leading order is a nontrivial function of z, namely the fragmentation function for a gluon into a spin-singlet S-wave state at leading order in the relative velocity. To calculate the real NLO corrections, we introduce a new subtraction scheme that allows the phase-space integrals to be evaluated in 4 dimensions. We extract all ultraviolet and infrared divergences in the real NLO corrections analytically by calculating the phase-space integrals of the subtraction terms in 4 – 2ϵ dimensions. We also extract the divergences in the virtual NLO corrections analytically, and detail the cancellation of all divergences after renormalization. The NLO corrections have a dramatic effect on the shape of the fragmentation function, and they significantly increase the fragmentation probability.},
doi = {10.1007/JHEP04(2015)121},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2015,
place = {United States},
year = {2015},
month = {4}
}