Relativistic corrections to gluon fragmentation into the ${}^3{P}_J^{[1,8]}$ states

Zhi-Guo He, Bernd A. Kniehl, Peng Zhang

We compute relativistic corrections to the gluon fragmentation functions to ${}^3{P}_J^{[1,8]}$ Fock states of heavy quarkonium within non-relativistic QCD factorization framework. W…