Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction
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We present the calculation at next-to-leading order (NLO) in αs 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 ηc and ηb.
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- J.C. Collins and D.E. Soper, Parton Distribution and Decay Functions, Nucl. Phys. B 194 (1982) 445 [INSPIRE].
- G.T. Bodwin, E. Braaten, E. Eichten, S.L. Olsen, T.K. Pedlar and J. Russ, Quarkonium at the Frontiers of High Energy Physics: A Snowmass White Paper, in Proceedings, 2013 Community Summer Study on the Future of U.S. Particle Physics: Snowmass on the Mississippi (CSS2013), Minneapolis, MN, U.S.A., July 29-August 6, 2013 (2013) [arXiv:1307.7425] [INSPIRE].
- G.P. Lepage, Vegas: an adaptive multidimensional integration program, CLNS-80/447 [INSPIRE].