Determination of unpolarized pion fragmentation functions using semi-inclusive deep-inelastic-scattering data

Rabah Abdul Khalek, Valerio Bertone, Emanuele R. Nocera

Research output: Contribution to JournalArticleAcademicpeer-review


We present mapff1.0, a determination of unpolarized charged-pion fragmentation functions (FFs) from a set of single-inclusive e+e- annihilation and lepton-nucleon semi-inclusive deep-inelastic-scattering (SIDIS) data. FFs are parametrized in terms of a neural network and fitted to data exploiting the knowledge of the analytic derivative of the neural network itself with respect to its free parameters. Uncertainties on the FFs are determined by means of the Monte Carlo sampling method properly accounting for all sources of experimental uncertainties, including that of parton distribution functions. Theoretical predictions for the relevant observables, as well as evolution effects, are computed to next-to-leading order accuracy in perturbative QCD. We exploit the flavor sensitivity of the SIDIS measurements delivered by the HERMES and COMPASS experiments to determine a minimally biased set of seven independent FF combinations. Moreover, we discuss the quality of the fit to the SIDIS data with low virtuality Q2 showing that, as expected, low-Q2 SIDIS measurements are generally harder to describe within a next-to-leading-order-accurate perturbative framework.

Original languageEnglish
Article number034007
Pages (from-to)1-16
Number of pages16
JournalPhysical Review D
Issue number3
Publication statusPublished - 1 Aug 2021

Bibliographical note

Funding Information:
We thank W. Vogelsang for confirming that the misprint in the expression reported in Ref. was corrected in Ref. , and Rodolfo Sassot for helping us debug the apfel ++ implementation and for providing us with the predictions of Ref. . We are grateful to Gunar Schnell for support with the interpretation of the HERMES data and to Nobuo Sato and the JAM collaboration for providing us with their theoretical predictions and PDF and FF sets. We thank J. Rojo for a critical reading of the paper. The work of R. A. K. is partially supported by the Netherlands Organization for Scientific Research (NWO). V. B. is supported by the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No. 824093. E. R. N. is supported by the UK STFC Grant No. ST/T000600/1 and was also supported by the European Commission through the Marie Skłodowska-Curie Action ParDHonSFFs.TMDs (Grant No. 752748).

Publisher Copyright:
© 2021 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the ""Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.


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