Abstract
In this paper, we present ${\tt SGK18}$ FFs, a first global QCD analysis of parton-to-{\it unidentified} charged hadrons fragmentation functions (FFs) at next-to-next-to-leading order (NNLO) accuracy in perturbative QCD. This analysis is based on single-inclusive charged hadron production in electron-positron ($e^-e^+$) annihilation. The uncertainties in the extraction of ${\tt SGK18}$ FFs as well as the corresponding observables are estimated using the "Hessian" technique. We study the quality of the {\tt SGK18} FFs determined in this analysis by comparing with the recent results in literature. We also show how {\tt SGK18} FFs results describe the available data for single-inclusive unidentified charged hadron production in $e^-e^+$ annihilation. We demonstrate that the theoretical uncertainties due to the variation of the renormalization and factorization scales improve when NNLO QCD corrections are considered. We find that the resulting {\tt SGK18} FFs are in good agreement with all data analyzed and the inclusion of NNLO corrections tends to improve the data description with somewhat smaller uncertainty.
Highlights
Parton distribution functions (PDFs) extracted from global QCD fits of deep inelastic electron proton scattering at HERA as well as proton-(anti)proton collision at hadron colliders such as LHC, are a fundamental input into hadron collider physics and have been very important in the investigation of the partonic structure of the nucleon
We extend the extraction of fragmentation functions (FFs) for charged hadrons for the first time up to next-to-next-to-leading order (NNLO) by including the inclusive charged hadron experimental data from e−eþ annihilation
We illustrate the quality of the SGK18 FFs at next-to-leading order (NLO) and NNLO and show that the results presented in this analysis are in good agreement with the results in literature and all experimental data analyzed in this study
Summary
Parton distribution functions (PDFs) extracted from global QCD fits of deep inelastic electron proton (ep) scattering at HERA as well as proton-(anti)proton (pp) collision at hadron colliders such as LHC, are a fundamental input into hadron collider physics and have been very important in the investigation of the partonic structure of the nucleon, (see [1,2,3,4] for a recent review and [5,6,7,8,9,10,11,12,13,14,15,16,17] for recent determination of different types of PDFs). We perform for the first time a comprehensive QCD analysis to obtain a set of unidentified charged hadron FFs and their uncertainties at NNLO. The analysis by DSS07 [48] included the electron-proton annihilations, SIDIS and proton-(anti)proton collisions experimental data sets They obtained the contributions from the residual charged hadrons as well as pions, kaons and (anti)protons to the unidentified charged hadron FFs up to NLO accuracy. In order to assess the uncertainties of the resulting unidentified charged hadron FFs at NLO and NNLO accuracies as well as the corresponding observable, associated with the uncertanties in the analyzed data, we have applied the “Hessian” method.
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