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

Artoisenet, Pierre; Braaten, Eric

doi:10.1007/JHEP01(2019)227

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

Journal Article · Wed Jan 30 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2019)227· OSTI ID:1602457

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

Catholic Univ. of Louvain (Belgium); Ohio State University
The Ohio State Univ., Columbus, OH (United States)

We present the calculation at next-to-leading order (NLO) in a_s 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 η_c and η_b.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011726

OSTI ID:: 1602457

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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