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.

52 pages, 6 figures

References in corpus (5)

• Automation of next-to-leading order computations in QCD: the FKS subtraction
• ${\eta }_c$ production at the LHC challenges nonrelativistic-QCD factorization
• ${\eta }_c$ production at LHC and indications on the understanding of $J/\psi$ production
• Heavy Quarkonium Production at Collider Energies: Partonic Cross Section and Polarization
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Cited by in corpus (15)

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• The QCD NLO fragmentation functions for $c$ or $\bar{b}$ quark to $B_c$ or $B_c^{\ast }$ meson and their application
• Fragmentation functions for gluon into $B_c$ or $B_c^{\ast }$ meson
• Next-to-leading-order QCD corrections to gluon fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• NLO fragmentation functions for a quark into a spin-singlet quarkonium: Same flavor case
• Gluon fragmentation into $B_c^{(\ast )}$ in NRQCD factorization
• Fragmentation functions for a quark into a spin-singlet quarkonium: Different flavor case
• The relativistic corrections to the fragmentation functions for a heavy quark to $B_c$ and $B_c^{\ast }$
• Next-to-leading-order QCD corrections to heavy quark fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• Resolving negative cross section of quarkonium hadroproduction using soft gluon factorization
• Gluon fragmentation into ${}^3{P}_J^{[1,8]}$ quark pair and test of NRQCD factorization at two-loop level
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region
• Resummation of threshold double logarithms in quarkonium fragmentation functions