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Paper   IPM / Particles / 15835
School of Particles and Accelerator
  Title:   NNLO charmed-meson fragmentation functions and their uncertainties in the presence of meson mass corrections
  Author(s): 
1.  Maral Salajegheh
2.  Seyed Mohammad Moosavi Nejad
3.  Maryam Soleymaninia
4.  Hamzeh Khanpour
5.  Shahin Atashbar Tehrani
  Status:   Published
  Journal: Eur. Phys. J. C
  No.:  999
  Vol.:  79
  Year:  2019
  Supported by:  IPM
  Abstract:
The main aim of this paper is to present new sets of non-perturbative fragmentation functions (FFs) for $D^0$ and $D^+$ mesons at next-to-leading (NLO) and, for the first time, at next-to-next-to-leading order (NNLO) accuracy in perturbative QCD. This new determination of FFs is based on the QCD fit to the {\tt OPAL} experimental data for hadroproduction in the electron-positron single-inclusive annihilation (SIA). We discuss in details the novel aspects of the methodology used in our analysis and the validity of obtained FFs by comparing with previous works in literature which have been done up to NLO accuracy. We will also incorporate the effects of charmed meson mass corrections into our QCD analysis and discuss the improvements upon inclusion of these effects. The uncertainties of extracted FFs as well as SIA cross sections are estimated employing the ``Hessian approach''. For a typical application, we use the extracted FFs to make theoretical predictions for the scaled-energy distributions of charmed mesons inclusively produced in top quark decays.

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