Gluon fragmentation into quarkonium at next-to-leading order
(2015) Journal of High Energy Physics — Vol. 2015, n° 4, p. 121 [1-35] (2015)
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- Abstract
- We present the first calculation at next-to-leading order (NLO) in αs 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 − 2ϵ 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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Artoisenet, P., & Braaten, E. (2015). Gluon fragmentation into quarkonium at next-to-leading order. Journal of High Energy Physics, 2015(4), 121 [1-35]. https://doi.org/10.1007/JHEP04(2015)121 (Original work published 2015)