Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2015)121
Keywords
NLO Computations; QCD Phenomenology
Categories
Funding
- F.R.S.-FNRS Fonds de la Recherche Scientifique (Belgium)
- Belgian Federal Science Policy Office through the Interuniversity Attraction Pole [P7/37]
- Department of Energy [DE-SC0011726]
- Simons Foundation
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We present the first calculation at next-to-leading order (NLO) in alpha(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 - 2 epsilon 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.
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