Analytical calculation for the gluon fragmentation into spin-triplet S-wave quarkonium

Abstract

Fragmentation is the dominant mechanism for hadron production with high transverse momentum. For spin-triplet S-wave heavy quarkonium production, contribution of gluon fragmenting to color-singlet channel has been numerically calculated since 1993. However, there is still no analytic expression available up to now because of its complexity. In this paper, we calculate both polarization-summed and polarized fragmentation functions of gluon fragmenting to a heavy quark-antiquark pair with quantum number ${}^3{S}_1^{[1]}$. Our calculations are performed in two different frameworks. One is the widely used nonrelativistic QCD factorization, and the other is the newly proposed soft gluon factorization. In either case, we calculate at both leading order and next-to-leading order in velocity expansion. All of our final results are presented in terms of compact analytic expressions.

arXiv comment18 pages, 6 figures

References in corpus (20)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Differential Equations for Feynman Graph Amplitudes
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• FIRE5: a C++ implementation of Feynman Integral REduction
• Lectures on differential equations for Feynman integrals
• J/psi polarization at hadron colliders in nonrelativistic QCD
• Gluon Fragmentation into Heavy Quarkonium
• J/psi polarization at Tevatron and LHC: Nonrelativistic-QCD factorization at the crossroads
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• Polarizations of J/psi and psi(2S) Mesons Produced in ppbar Collisions at 1.96 TeV
• Feynman Diagrams and Differential Equations
• Fragmentation contributions to J/psi production at the Tevatron and the LHC
• Heavy quarkonium production and polarization
• Heavy Quarkonium Production at Collider Energies: Factorization and Evolution
• Gluon Fragmentation into Spin-Triplet S-Wave Quarkonium
• The Systematics of Quarkonium Production at the LHC and Double Parton Fragmentation
• Relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium
• Higher-order relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium
• New factorization theory for heavy quarkonium production and decay
• On the Application of Gluon to Heavy Quarkonium Fragmentation Functions

Cited by in corpus (12)

• New Observables in Inclusive Production of Quarkonia
• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• Next-to-leading-order QCD corrections to gluon fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• Gluon fragmentation into $B_c^{(\ast )}$ in NRQCD factorization
• The relativistic corrections to the fragmentation functions for a heavy quark to $B_c$ and $B_c^{\ast }$
• Fragmentation function of gluon into spin-singlet $P$-wave quarkonium
• Next-to-leading-order QCD corrections to heavy quark fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• Resummation of threshold double logarithms in hadroproduction of heavy quarkonium
• Gluon fragmentation into ${}^3{P}_J^{[1,8]}$ quark pair and test of NRQCD factorization at two-loop level
• Resolving negative cross section of quarkonium hadroproduction using soft gluon factorization
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region
• Resummation of threshold double logarithms in quarkonium fragmentation functions