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

Understand

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 $^3S_1^{[1]}$.