QCD analysis of $D^{*}$-meson fragmentation functions and their uncertainties at NNLO

Abstract

In this paper, we present a set of charmed-meson D * at next-to-leading order (NLO) and, for the first time, at next-to-next-to-leading order (NNLO) accuracy. This new sets of charmed-meson D * FFs are obtained through global QCD fits to all relevant data sets from single-inclusive e + e − annihilation. The "Hessian approach" are applied for the determination of FFs uncertainties as well as the corresponding observables. We compared the resulting D * FFs with the results in the litrature. The theory predition using the extracted FFs are also compared with the available data sets for single-inclusive D * ±-meson production in electron-positron annihilation.