Towards a Global QCD Analysis of Fragmentation Functions at Next-to-Next-to-Leading Order Accuracy

Abstract

We carry out a global QCD analysis of parton-to-pion fragmentation functions at next-to-next-to-leading order (NNLO) accuracy by performing a fit to the combined set of single-inclusive electron-positron annihilation and, for the first time, semi-inclusive deep-inelastic scattering multiplicity data. For the latter, we utilize the approximate NNLO QCD corrections that were derived recently within the threshold resummation formalism. We explore the impact of the NNLO corrections on the description of the semi-inclusive deep-inelastic scattering datasets in various kinematic regimes and on the resulting pion fragmentation functions.