Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction
Abstract
We present the calculation at next-to-leading order (NLO) in as of the fragmentation function of a gluon into heavy quarkonium in the color-octet spin-singlet S-wave channel. To calculate the real NLO corrections, we adapt a subtraction scheme introduced by Frixione, Kunszt, and Signer. Ultraviolet and infrared divergences in the real NLO corrections are calculated analytically by evaluating the phase-space integrals of the subtraction terms using dimensional regularization. The subtracted phase-space integrals are then evaluated in 4 space-time dimensions. The divergences in the virtual NLO corrections are also calculated analytically. After renormalization, all the divergences cancel. The NLO corrections significantly increase the fragmentation probability for a gluon into the spin-singlet quarkonium states ηc and ηb.
- Authors:
-
- Catholic Univ. of Louvain (Belgium)
- The Ohio State Univ., Columbus, OH (United States)
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1602457
- Grant/Contract Number:
- SC0011726
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 1; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO Computations
Citation Formats
Artoisenet, Pierre, and Braaten, Eric. Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction. United States: N. p., 2019.
Web. doi:10.1007/JHEP01(2019)227.
Artoisenet, Pierre, & Braaten, Eric. Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction. United States. https://doi.org/10.1007/JHEP01(2019)227
Artoisenet, Pierre, and Braaten, Eric. Wed .
"Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction". United States. https://doi.org/10.1007/JHEP01(2019)227. https://www.osti.gov/servlets/purl/1602457.
@article{osti_1602457,
title = {Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction},
author = {Artoisenet, Pierre and Braaten, Eric},
abstractNote = {We present the calculation at next-to-leading order (NLO) in as of the fragmentation function of a gluon into heavy quarkonium in the color-octet spin-singlet S-wave channel. To calculate the real NLO corrections, we adapt a subtraction scheme introduced by Frixione, Kunszt, and Signer. Ultraviolet and infrared divergences in the real NLO corrections are calculated analytically by evaluating the phase-space integrals of the subtraction terms using dimensional regularization. The subtracted phase-space integrals are then evaluated in 4 space-time dimensions. The divergences in the virtual NLO corrections are also calculated analytically. After renormalization, all the divergences cancel. The NLO corrections significantly increase the fragmentation probability for a gluon into the spin-singlet quarkonium states ηc and ηb.},
doi = {10.1007/JHEP01(2019)227},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2019,
place = {United States},
year = {Wed Jan 30 00:00:00 EST 2019},
month = {Wed Jan 30 00:00:00 EST 2019}
}
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- Physical Review D, Vol. 100, Issue 3
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journal, July 2019
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- Physical Review D, Vol. 100, Issue 1