QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops

Details QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops

2006-04-19

arxiv.org/abs/hep-ph/0604160v1

Nucl.Phys.B751:18-52,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

35 pages

Scientific paper

10.1016/j.nuclphysb.2006.05.018

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.

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