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

Alexander Mitov·Sven-Olaf Moch
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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.

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Alexander Mitov, Sven-Olaf Moch. 2014-12-19. QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops. https://doi.org/10.1016/j.nuclphysb.2006.05.018

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