Abstract

Achieving the highest possible precision for theoretical predictions at the present and future high-energy lepton and hadron colliders requires a precise determination of fragmentation functions (FFs) of light and heavy charged hadrons from a global QCD analysis with great accuracy. We describe a simultaneous determination of unpolarized FFs of charged pions, charged kaons and protons/antiprotons from single-inclusive hadron production in electron-positron annihilation (SIA) data at next-to-leading order and next-to-next-to-leading order accuracy in perturbative QCD. A new set of FFs, called SGKS20, is presented. We include data for identified light charged hadrons (${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$, ${K}^{\ifmmode\pm\else\textpm\fi{}}$ and $p/\overline{p}$) as well as for unidentified light charged hadrons, ${h}^{\ifmmode\pm\else\textpm\fi{}}$ and show that these data have a significant impact on both size and uncertainties of the fragmentation functions. We examine the inclusion of higher-order perturbative QCD corrections and finite-mass effects. We compare the new SGKS20 FFs with other recent FFs available in the literature and find in general reasonable agreement, but also important differences for some parton species. We show that theoretical predictions obtained from our new FFs are in very good agreement with the analyzed SIA data, especially at small values of $z$. The SGKS20 FF sets presented in this work are available via the LHAPDF interface.

Highlights

  • The two nonperturbative elements in theoretical high energy cross sections of hard scattering processes are the parton distribution functions (PDFs) and the collinear unpolarized fragmentation functions (FFs) [1,2,3,4,5,6,7,8,9,10,11,12]

  • We describe a simultaneous determination of unpolarized FFs of charged pions, charged kaons and protons/antiprotons from singleinclusive hadron production in electron-positron annihilation (SIA) data at next-to-leading order and nextto-next-to-leading order accuracy in perturbative quantum chromodynamics (QCD)

  • We focus on the inclusion of higher-order QCD corrections in our next-to-next-to-leading order (NNLO) results

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Summary

Introduction

The two nonperturbative elements in theoretical high energy cross sections of hard scattering processes are the parton distribution functions (PDFs) and the collinear unpolarized fragmentation functions (FFs) [1,2,3,4,5,6,7,8,9,10,11,12]. A precise determination of FFs is crucial for studies of the strong interaction in high energy scattering processes. FFs describe how high energy colored partons produced in the hard interactions are turned into the hadrons measured and identified in an experiment.

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