Next-to-next-to-leading order evolution of non-singlet fragmentation functions

By Alexander Mitov, Sven-Olaf Moch, A. Vogt. 2006

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Abstract We have investigated the next-to-next-to-leading order (NNLO) corrections to inclusive hadron production in e + e − annihilation and the related parton fragmentation distributions, the ‘time-like’ counterparts of the ‘space-like’ deep-inelastic structure functions and parton densities. We have re-derived the corresponding second-order coefficient functions in massless perturbative QCD, which so far had been calculated only by one group. Moreover we present, for the first time, the third-order splitting functions governing the NNLO evolution of flavour non-singlet fragmentation distributions. These results have been obtained by two independent methods relating time-like quantities to calculations performed in deep-inelastic scattering. We briefly illustrate the numerical size of the NNLO corrections, and make a prediction for the difference of the yet unknown time-like and space-like splitting functions at the fourth order in the strong coupling constant.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/07937a7c752efcc4c7effb03269f3b7c9a212242