A determination of the fragmentation functions of pions, kaons, and protons with faithful uncertainties

Abstract

We present NNFF1.0, a new determination of the fragmentation functions (FFs) of charged pions, charged kaons, and protons/antiprotons from an analysis of single-inclusive hadron production data in electron-positron annihilation. This determination, performed at leading, next-to-leading, and next-to-next-to-leading order in perturbative QCD, is based on the NNPDF methodology, a fitting framework designed to provide a statistically sound representation of FF uncertainties and to minimise any procedural bias. We discuss novel aspects of the methodology used in this analysis, namely an optimised parametrisation of FFs and a more efficient ${\chi }^2$ minimisation strategy, and validate the FF fitting procedure by means of closure tests. We then present the NNFF1.0 sets, and discuss their fit quality, their perturbative convergence, and their stability upon variations of the kinematic cuts and the fitted dataset. We find that the systematic inclusion of higher-order QCD corrections significantly improves the description of the data, especially in the small-$z$ region. We compare the NNFF1.0 sets to other recent sets of FFs, finding in general a reasonable agreement, but also important differences. Together with existing sets of unpolarised and polarised parton distribution functions (PDFs), FFs and PDFs are now available from a common fitting framework for the first time.

arXiv comment50 pages, 22 figures, 5 tables

References in corpus (69)

• Parton distributions for the LHC Run II
• Parton distributions with LHC data
• LHAPDF6: parton density access in the LHC precision era
• Parton distributions from high-precision collider data
• The CMA Evolution Strategy: A Tutorial
• Parton distributions with QED corrections
• Global analysis of fragmentation functions for pions and kaons and their uncertainties
• Suppression of charged particle production at large transverse momentum in central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• A first unbiased global NLO determination of parton distributions and their uncertainties
• Uncertainties of predictions from parton distribution functions II: the Hessian method
• APFEL: A PDF Evolution Library with QED corrections
• A first unbiased global determination of polarized PDFs and their uncertainties
• Impact of Heavy Quark Masses on Parton Distributions and LHC Phenomenology
• Heavy quarks in deep-inelastic scattering
• AKK Update: Improvements from New Theoretical Input and Experimental Data
• A determination of parton distributions with faithful uncertainty estimation
• Global Analysis of Fragmentation Functions for Protons and Charged Hadrons
• Parton-to-Pion Fragmentation Reloaded
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• QCD Analysis of Unpolarized and Polarized Lambda - Baryon Production in Leading and Next-to-Leading Order
• Neural Network Parametrization of Deep-Inelastic Structure Functions
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• The PDF4LHC report on PDFs and LHC data: Results from Run I and preparation for Run II
• Iterative Monte Carlo analysis of spin-dependent parton distributions
• Progress in the Determination of the Partonic Structure of the Proton
• Parton Distribution Benchmarking with LHC Data
• Soft-Gluon Resummation for the Fragmentation of Light and Heavy Quarks at Large x
• Multivariate Fitting and the Error Matrix in Global Analysis of Data
• Precision determination of electroweak parameters and the strange content of the proton from neutrino deep-inelastic scattering
• Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron-positron annihilation
• Parton-to-Kaon Fragmentation Revisited
• On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
• QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops
• Neural network determination of parton distributions: the nonsinglet case
• On the Next-to-Next-to-Leading Order Evolution of Flavour-Singlet Fragmentation Functions
• $O({\alpha }_s^2)$ Contributions to the longitudinal fragmentation function in $e^{+}{e}^{-}$ annihilation
• Production of charged pions, kaons and protons in e+e- annihilations into hadrons at sqrt{s} = 10.54 GeV
• General-mass treatment for deep inelastic scattering at two-loop accuracy
• Production of pi+, pi-, K+, K-, p and p-bar in Light (uds), c and b Jets from Z0 Decays
• Precision measurement of charged pion and kaon differential cross sections in electron-positron annihilation at Q = 10.52 GeV
• First Monte Carlo analysis of fragmentation functions from single-inclusive $e^{+}{e}^{-}$ annihilation
• $O({\alpha }_s^2)$ Timelike Wilson Coefficients for Parton-Fragmentation Functions in Mellin Space
• Parton distributions with threshold resummation
• Measurement of inclusive particle spectra and test of MLLA prediction in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}$=58GeV
• Fragmentation Functions at Next-to-Next-to-Leading Order Accuracy
• Unbiased determination of the proton structure function F_2^p with faithful uncertainty estimation
• Leading Particle Production in Light Flavour Jets
• Fragmentations Functions in Nuclear Media
• $O({\alpha }_s^2)$ Contributions to the asymmetric fragmentation function in $e^{+}{e}^{-}$ annihilation
• The hadronization of partons
• QCD resummation for semi-inclusive hadron production processes
• Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation
• Fragmentation Functions Beyond Fixed Order Accuracy
• Higher-order threshold resummation for semi-inclusive e^+e^- annihilation
• Crossing Heavy-Flavour Thresholds in Fragmentation Functions
• Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD
• A Variable Flavour Number Scheme for Charged Current Heavy Flavour Structure Functions
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• Timelike Single-logarithm-resummed Splitting Functions
• Unbiased determination of polarized parton distributions and their uncertainties
• The role of heavy quarks in light hadron fragmentation
• Towards a Neural Network Determination of Charged Pion Fragmentation Functions

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