Gluon fragmentation into quarkonium at nexttoleading order
Here, we present the first calculation at nexttoleading 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 spinsinglet Swave state at leading order in the relative velocity. To calculate the real NLO corrections, we introduce a new subtraction scheme that allows the phasespace integrals to be evaluated in 4 dimensions. We extract all ultraviolet and infrared divergences in the real NLO corrections analytically by calculating the phasespace 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]}
 Univ. Catholique de Louvain, LouvainlaNeuve (Belgium). Centre for Cosmology, Particle Physics and Phenomenology (CP3)
 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 10298479
 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 nexttoleading order. United States: N. p.,
Web. doi:10.1007/JHEP04(2015)121.
Artoisenet, Pierre, & Braaten, Eric. Gluon fragmentation into quarkonium at nexttoleading order. United States. doi:10.1007/JHEP04(2015)121.
Artoisenet, Pierre, and Braaten, Eric. 2015.
"Gluon fragmentation into quarkonium at nexttoleading 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 nexttoleading order},
author = {Artoisenet, Pierre and Braaten, Eric},
abstractNote = {Here, we present the first calculation at nexttoleading 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 spinsinglet Swave state at leading order in the relative velocity. To calculate the real NLO corrections, we introduce a new subtraction scheme that allows the phasespace integrals to be evaluated in 4 dimensions. We extract all ultraviolet and infrared divergences in the real NLO corrections analytically by calculating the phasespace 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}
}