Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction

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.

arXiv comment52 pages, 6 figures

References in corpus (21)

• MadGraph 5 : Going Beyond
• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• UFO - The Universal FeynRules Output
• Three-jet cross sections to next-to-leading order
• Automation of next-to-leading order computations in QCD: the FKS subtraction
• Gluon Fragmentation into Heavy Quarkonium
• ALOHA: Automatic Libraries Of Helicity Amplitudes for Feynman diagram computations
• Fragmentation, NRQCD and NNLO Factorization Analysis in Heavy Quarkonium Production
• ${\eta }_c$ production at the LHC challenges nonrelativistic-QCD factorization
• Heavy quarkonium production and polarization
• Heavy Quarkonium Production at Collider Energies: Factorization and Evolution
• ${\eta }_c$ production at LHC and indications on the understanding of $J/\psi$ production
• Heavy quarkonium fragmentation functions from a heavy quark pair. I. $S$ wave
• The Systematics of Quarkonium Production at the LHC and Double Parton Fragmentation
• Heavy Quarkonium Production at Collider Energies: Partonic Cross Section and Polarization
• Next-to-leading Order Calculation of the Color-Octet 3S1 Gluon Fragmentation Function for Heavy Quarkonium
• Quarkonium at the Frontiers of High Energy Physics: A Snowmass White Paper
• Heavy quarkonium fragmentation functions from a heavy quark pair. II. $P$ wave
• Anomalous dimensions of the double parton fragmentation functions
• Gluon fragmentation into quarkonium at next-to-leading order

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