Next-to-leading order calculation of the color-octet 3S1 gluon fragmentation function for heavy quarkonium

Eric Braaten; Jungil Lee

doi:10.1016/S0550-3213(00)00396-5

Next-to-leading order calculation of the color-octet ³S₁ gluon fragmentation function for heavy quarkonium

Eric Braaten, Jungil Lee

Research output: Contribution to journal › Article › peer-review

51 Citations (Scopus)

Abstract

The short-distance coefficients for the color-octet ³S₁ term in the fragmentation function for a gluon to split into heavy quarkonium states is calculated to order α_s² . The gauge-invariant definition of the fragmentation function by Collins and Soper is employed. Ultraviolet divergences are removed using the MS renormalization procedure. The longitudinal term in the fragmentation function agrees with a previous calculation by Beneke and Rothstein. The next-to-leading order correction to the transverse term disagrees with a previous calculation.

Original language	English
Pages (from-to)	427-439
Number of pages	13
Journal	Nuclear Physics B
Volume	586
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(00)00396-5
Publication status	Published - 2000 Oct 16
Externally published	Yes

Keywords

13.60.Le
13.87.Fh
13.88.+e
Color-octet
Fragmentation
Fragmentation function
Next-to-leading order
Nonrelativistic QCD (NRQCD)
Quarkonium

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/S0550-3213(00)00396-5

Cite this

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title = "Next-to-leading order calculation of the color-octet 3S1 gluon fragmentation function for heavy quarkonium",

abstract = "The short-distance coefficients for the color-octet 3S1 term in the fragmentation function for a gluon to split into heavy quarkonium states is calculated to order αs2 . The gauge-invariant definition of the fragmentation function by Collins and Soper is employed. Ultraviolet divergences are removed using the MS renormalization procedure. The longitudinal term in the fragmentation function agrees with a previous calculation by Beneke and Rothstein. The next-to-leading order correction to the transverse term disagrees with a previous calculation.",

keywords = "13.60.Le, 13.87.Fh, 13.88.+e, Color-octet, Fragmentation, Fragmentation function, Next-to-leading order, Nonrelativistic QCD (NRQCD), Quarkonium",

author = "Eric Braaten and Jungil Lee",

note = "Funding Information: This work was supported in part by the US Department of Energy Division of High Energy Physics under grant DE-FG02-91-ER40690, by the Alexander von Humboldt Foundation, and by the Korea Institute for Advanced Study. J.L. would like to thank the OSU theory group for its hospitality during his stay in Columbus.",

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T1 - Next-to-leading order calculation of the color-octet 3S1 gluon fragmentation function for heavy quarkonium

AU - Braaten, Eric

AU - Lee, Jungil

N1 - Funding Information: This work was supported in part by the US Department of Energy Division of High Energy Physics under grant DE-FG02-91-ER40690, by the Alexander von Humboldt Foundation, and by the Korea Institute for Advanced Study. J.L. would like to thank the OSU theory group for its hospitality during his stay in Columbus.

PY - 2000/10/16

Y1 - 2000/10/16

N2 - The short-distance coefficients for the color-octet 3S1 term in the fragmentation function for a gluon to split into heavy quarkonium states is calculated to order αs2 . The gauge-invariant definition of the fragmentation function by Collins and Soper is employed. Ultraviolet divergences are removed using the MS renormalization procedure. The longitudinal term in the fragmentation function agrees with a previous calculation by Beneke and Rothstein. The next-to-leading order correction to the transverse term disagrees with a previous calculation.

AB - The short-distance coefficients for the color-octet 3S1 term in the fragmentation function for a gluon to split into heavy quarkonium states is calculated to order αs2 . The gauge-invariant definition of the fragmentation function by Collins and Soper is employed. Ultraviolet divergences are removed using the MS renormalization procedure. The longitudinal term in the fragmentation function agrees with a previous calculation by Beneke and Rothstein. The next-to-leading order correction to the transverse term disagrees with a previous calculation.

KW - 13.60.Le

KW - 13.87.Fh

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KW - Color-octet

KW - Fragmentation

KW - Fragmentation function

KW - Next-to-leading order

KW - Nonrelativistic QCD (NRQCD)

KW - Quarkonium

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