Gluon fragmentation into quarkonium at next-to-leading order

Artoisenet, Pierre; Braaten, Eric

doi:10.1007/JHEP04(2015)121

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

Abstract

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:

Artoisenet, Pierre ^[1]; Braaten, Eric ^[2]

Univ. Catholique de Louvain, Louvain-la-Neuve (Belgium). Centre for Cosmology, Particle Physics and Phenomenology (CP3)
The Ohio State Univ., Columbus, OH (United States). Dept. of Physics

Publication Date:: Wed Apr 22 00:00:00 EDT 2015

Research Org.:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1455045

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: 2015; Journal Issue: 4; 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; QCD Phenomenology

Citation Formats


                    Artoisenet, Pierre, and Braaten, Eric. Gluon fragmentation into quarkonium at next-to-leading order.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP04(2015)121.

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                    Artoisenet, Pierre, & Braaten, Eric. Gluon fragmentation into quarkonium at next-to-leading order.  United States.  https://doi.org/10.1007/JHEP04(2015)121

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                    Artoisenet, Pierre, and Braaten, Eric. Wed .  
"Gluon fragmentation into quarkonium at next-to-leading order".  United States.  https://doi.org/10.1007/JHEP04(2015)121.  https://www.osti.gov/servlets/purl/1455045.

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@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         = {Wed Apr 22 00:00:00 EDT 2015},

  month        = {Wed Apr 22 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

Gluon fragmentation into heavy quarkonium
journal, September 1993

Braaten, Eric; Yuan, Tzu Chiang
Physical Review Letters, Vol. 71, Issue 11
DOI: 10.1103/PhysRevLett.71.1673

Polarization for Prompt $J / ψ$ and $ψ (2 s)$ Production at the Tevatron and LHC
journal, January 2013

Gong, Bin; Wan, Lu-Ping; Wang, Jian-Xiong
Physical Review Letters, Vol. 110, Issue 4
DOI: 10.1103/PhysRevLett.110.042002

$J / ψ$ Polarization at the Tevatron and the LHC: Nonrelativistic-QCD Factorization at the Crossroads
journal, April 2012

Butenschoen, Mathias; Kniehl, Bernd A.
Physical Review Letters, Vol. 108, Issue 17
DOI: 10.1103/PhysRevLett.108.172002

Scalar one-loop integrals for QCD
journal, February 2008

Ellis, R. Keith; Zanderighi, Giulia
Journal of High Energy Physics, Vol. 2008, Issue 02
DOI: 10.1088/1126-6708/2008/02/002

FF — a package to evaluate one-loop Feynman diagrams
journal, July 1991

van Oldenborgh, G. J.
Computer Physics Communications, Vol. 66, Issue 1
DOI: 10.1016/0010-4655(91)90002-3

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium
journal, February 1995

Bodwin, Geoffrey T.; Braaten, Eric; Lepage, G. Peter
Physical Review D, Vol. 51, Issue 3
DOI: 10.1103/PhysRevD.51.1125

Feyn Calc - Computer-algebraic calculation of Feynman amplitudes
journal, June 1991

Mertig, R.; Böhm, M.; Denner, A.
Computer Physics Communications, Vol. 64, Issue 3
DOI: 10.1016/0010-4655(91)90130-D

Heavy Quarkonium Production and Polarization
journal, March 2012

Kang, Zhong-Bo; Qiu, Jian-Wei; Sterman, George
Physical Review Letters, Vol. 108, Issue 10
DOI: 10.1103/PhysRevLett.108.102002

$J / ψ$ Polarization at Hadron Colliders in Nonrelativistic QCD
journal, June 2012

Chao, Kuang-Ta; Ma, Yan-Qing; Shao, Hua-Sheng
Physical Review Letters, Vol. 108, Issue 24
DOI: 10.1103/PhysRevLett.108.242004

Factorization and Quarkonium Production
journal, May 2011

Kang, Zhong-Bo; Qiu, Jian-Wei; Sterman, George
Nuclear Physics B - Proceedings Supplements, Vol. 214, Issue 1
DOI: 10.1016/j.nuclphysbps.2011.03.054

Next-to-leading order calculation of the color-octet S gluon fragmentation function for heavy quarkonium
journal, October 2000

Braaten, Eric; Lee, Jungil
Nuclear Physics B, Vol. 586, Issue 1-2
DOI: 10.1016/S0550-3213(00)00396-5

Works referencing / citing this record:

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Journal of High Energy Physics, Vol. 2019, Issue 10
DOI: 10.1007/jhep10(2019)210

Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium
journal, February 2017

Gao, Xiangrui; Jia, Yu; Li, Liuji
Chinese Physics C, Vol. 41, Issue 2
DOI: 10.1088/1674-1137/41/2/023103

Heavy quarkonium photoproduction in ultrarelativistic heavy ion collisions
journal, January 2017

Yu, Gong-Ming; Cai, Yang-Bing; Li, Yun-De
Physical Review C, Vol. 95, Issue 1
DOI: 10.1103/physrevc.95.014905

NLO fragmentation functions of heavy quarks into heavy quarkonia
journal, July 2019

Zheng, Xu-Chang; Chang, Chao-Hsi; Wu, Xing-Gang
Physical Review D, Vol. 100, Issue 1
DOI: 10.1103/physrevd.100.014005

QCD NLO fragmentation functions for $c$ or $\bar{b}$ quark to $B_{c}$ or $B_{c}^{*}$ meson and their application
journal, August 2019

Zheng, Xu-Chang; Chang, Chao-Hsi; Feng, Tai-Fu
Physical Review D, Vol. 100, Issue 3
DOI: 10.1103/physrevd.100.034004

Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium
text, January 2016

Gao, Xiangrui; Jia, Yu; Li, LiuJi
arXiv
DOI: 10.48550/arxiv.1606.07455

Heavy quarkonium photoproduction in ultrarelativistic heavy ion collisions
text, January 2017

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arXiv
DOI: 10.48550/arxiv.1703.03194

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

Abstract

Citation Formats

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Polarization for Prompt $J / ψ$ and $ψ (2 s)$ Production at the Tevatron and LHC
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$J / ψ$ Polarization at the Tevatron and the LHC: Nonrelativistic-QCD Factorization at the Crossroads
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FF — a package to evaluate one-loop Feynman diagrams
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Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium
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