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Gluon fragmentation into quarkonium at next-to-leading order

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Artoisenet, Pierre [UCL] Braaten, Eric

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

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2015
Language Anglais
Journal information "Journal of High Energy Physics" - Vol. 2015, no.4, p. 121 [1-35] (2015)
Peer reviewed yes
Publisher Springer Berlin ((Germany) Heidelberg)
issn 1126-6708
e-issn 1029-8479
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords NLO Computations ; QCD Phenomenology
Links
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Bibliographic reference Artoisenet, Pierre ; Braaten, Eric. Gluon fragmentation into quarkonium at next-to-leading order. In: Journal of High Energy Physics, Vol. 2015, no.4, p. 121 [1-35] (2015)
Permanent URL http://hdl.handle.net/2078.1/172841