Resummed quarkonium fragmentation functions are derived to all orders in perturbation theory, resolving threshold singularities without nonperturbative model functions.
Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction
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abstract
We present the calculation at next-to-leading order (NLO) in alpha_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 eta_c and eta_b.
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hep-ph 1years
2026 1verdicts
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Resummation of threshold double logarithms in quarkonium fragmentation functions
Resummed quarkonium fragmentation functions are derived to all orders in perturbation theory, resolving threshold singularities without nonperturbative model functions.