Gluon fragmentation into quarkonium at next-to-leading order

Artoisenet, Pierre; Braaten, Eric

doi:10.1007/JHEP04(2015)121

Gluon fragmentation into quarkonium at next-to-leading order

Journal Article · Wed Apr 22 00:00:00 EDT 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP04(2015)121· OSTI ID:1455045

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

Univ. Catholique de Louvain, Louvain-la-Neuve (Belgium). Centre for Cosmology, Particle Physics and Phenomenology (CP3); None
The Ohio State Univ., Columbus, OH (United States). Dept. of Physics

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.

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

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011726

OSTI ID:: 1455045

Alternate ID(s):: OSTI ID: 22582161

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2015; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (12)

FF — a package to evaluate one-loop Feynman diagrams van Oldenborgh, G. J. Computer Physics Communications, Vol. 66, Issue 1 https://doi.org/10.1016/0010-4655(91)90002-3	journal	July 1991
Feyn Calc - Computer-algebraic calculation of Feynman amplitudes Mertig, R.; Böhm, M.; Denner, A. Computer Physics Communications, Vol. 64, Issue 3 https://doi.org/10.1016/0010-4655(91)90130-D	journal	June 1991
Next-to-leading order calculation of the color-octet S gluon fragmentation function for heavy quarkonium Braaten, Eric; Lee, Jungil Nuclear Physics B, Vol. 586, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00396-5	journal	October 2000
A general algorithm for calculating jet cross sections in NLO QCD Catani, S.; Seymour, M. H. Nuclear Physics B, Vol. 485, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00589-5	journal	February 1997
Factorization and Quarkonium Production Kang, Zhong-Bo; Qiu, Jian-Wei; Sterman, George Nuclear Physics B - Proceedings Supplements, Vol. 214, Issue 1 https://doi.org/10.1016/j.nuclphysbps.2011.03.054	journal	May 2011
Scalar one-loop integrals for QCD Ellis, R. Keith; Zanderighi, Giulia Journal of High Energy Physics, Vol. 2008, Issue 02 https://doi.org/10.1088/1126-6708/2008/02/002	journal	February 2008
Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium Bodwin, Geoffrey T.; Braaten, Eric; Lepage, G. Peter Physical Review D, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevD.51.1125	journal	February 1995
Heavy Quarkonium Production and Polarization Kang, Zhong-Bo; Qiu, Jian-Wei; Sterman, George Physical Review Letters, Vol. 108, Issue 10 https://doi.org/10.1103/PhysRevLett.108.102002	journal	March 2012
J / ψ Polarization at the Tevatron and the LHC: Nonrelativistic-QCD Factorization at the Crossroads Butenschoen, Mathias; Kniehl, Bernd A. Physical Review Letters, Vol. 108, Issue 17 https://doi.org/10.1103/PhysRevLett.108.172002	journal	April 2012
J / ψ Polarization at Hadron Colliders in Nonrelativistic QCD Chao, Kuang-Ta; Ma, Yan-Qing; Shao, Hua-Sheng Physical Review Letters, Vol. 108, Issue 24 https://doi.org/10.1103/PhysRevLett.108.242004	journal	June 2012
Polarization for Prompt J / ψ and ψ ( 2 s ) Production at the Tevatron and LHC Gong, Bin; Wan, Lu-Ping; Wang, Jian-Xiong Physical Review Letters, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRevLett.110.042002	journal	January 2013
Gluon fragmentation into heavy quarkonium Braaten, Eric; Yuan, Tzu Chiang Physical Review Letters, Vol. 71, Issue 11 https://doi.org/10.1103/PhysRevLett.71.1673	journal	September 1993

Cited By (7)

Relativistic effect of J/𝜓 hadroproduction in large pT region Li, Rong; Chen, An-Ping; Huang, Jing-Kai Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)210	journal	October 2019
Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium Gao, Xiangrui; Jia, Yu; Li, Liuji Chinese Physics C, Vol. 41, Issue 2 https://doi.org/10.1088/1674-1137/41/2/023103	journal	February 2017
Heavy quarkonium photoproduction in ultrarelativistic heavy ion collisions Yu, Gong-Ming; Cai, Yang-Bing; Li, Yun-De Physical Review C, Vol. 95, Issue 1 https://doi.org/10.1103/physrevc.95.014905	journal	January 2017
NLO fragmentation functions of heavy quarks into heavy quarkonia Zheng, Xu-Chang; Chang, Chao-Hsi; Wu, Xing-Gang Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/physrevd.100.014005	journal	July 2019
QCD NLO fragmentation functions for c or b ¯ quark to B c or B c * meson and their application Zheng, Xu-Chang; Chang, Chao-Hsi; Feng, Tai-Fu Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/physrevd.100.034004	journal	August 2019
Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium Gao, Xiangrui; Jia, Yu; Li, LiuJi arXiv https://doi.org/10.48550/arxiv.1606.07455	text	January 2016
Heavy quarkonium photoproduction in ultrarelativistic heavy ion collisions Yu, Gong-Ming; Cai, Yan-Bing; Li, Yun-De arXiv https://doi.org/10.48550/arxiv.1703.03194	text	January 2017

Similar Records

Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction

Journal Article · Tue Jan 29 19:00:00 EST 2019 · Journal of High Energy Physics (Online) · OSTI ID:1602457

Gluon fragmentation into heavy quarkonium

Journal Article · Mon Sep 13 00:00:00 EDT 1993 · Physical Review Letters; (United States) · OSTI ID:6141858

Application of gluon to heavy quarkonium fragmentation functions

Journal Article · Sun Apr 01 00:00:00 EDT 2007 · Physical Review. D, Particles Fields · OSTI ID:21020272

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NLO Computations
QCD Phenomenology

Gluon fragmentation into quarkonium at next-to-leading order

Citation Formats

References (12)

Cited By (7)

Similar Records

Related Subjects