QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops
arXiv:hep-ph/0604160 · doi:10.1016/j.nuclphysb.2006.05.018
Abstract
We report on the analytic calculation of the second-order QCD corrections to semi-inclusive hadron production in electron-positron annihilation. The calculation of the single-particle inclusive cross-section in time-like kinematics is performed in Mellin N-space and uses an algorithmic evaluation of inclusive phase-space integrals, based on the unitarity cutting rules and integration-by-parts. We obtain splitting functions and coefficient functions up to second order in the strong coupling alpha_s. Our results are in agreement with earlier calculations in the literature by Rijken and van Neerven.
35 pages; v2: typos corrected in eqs.(B.10) and (C.10); original results are unaffected