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

Autor: Pierre Artoisenet, Eric Braaten
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-45 (2019)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP01(2019)227
Popis: Abstract We present the calculation at next-to-leading order (NLO) in α 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 .
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