Abstract
We present, for the first time, a set of next-to-next-to-leading order (NNLO) fragmentation functions (FFs) describing the production of charmed-meson $D^{*+}$ from partons. Exploiting the universality and scaling violations of FFs, we extract the NLO and NNLO FFs through a global fit to all relevant data sets from single-inclusive $e^+e^-$ annihilation. The uncertainties for the resulting FFs as well as the corresponding observables are estimated using the Hessian approach. We evaluate the quality of the {\tt SKM18} FFs determined in this analysis by comparing with the recent results in literature and show how they describe the available data for single-inclusive $D^{*+}$-meson production in electron-positron annihilation. As a practical application, we apply the extracted FFs to make our theoretical predictions for the scaled-energy distributions of $D^{*+}$-mesons inclusively produced in top quark decays. We explore the implications of {\tt SKM18} for LHC phenomenology and show that our findings of this study can be introduced as a channel to indirect search for top-quark properties.
Highlights
Fragmentation functions (FFs) [1,2,3,4] describe the nonperturbative part of hard-scattering processes and along with the parton distribution functions (PDFs) of initial hadrons and parton-level differential cross sections are three necessary ingredients to obtain theoretical predictions for hadroproduction cross sections [5,6,7,8,9].Studies over the past two decades have provided valuable important information on the structure of hadrons
We evaluate the quality of the SKM18 fragmentation functions (FFs) determined in this analysis by comparing with the recent results in literature and show how they describe the available data for single-inclusive DÃÆ-meson production in electron-positron annihilation
We turn to SKM18 numerical results for the global analysis of DÃÆ-FFs from single-inclusive annihilation (SIA) data
Summary
Fragmentation functions (FFs) [1,2,3,4] describe the nonperturbative part of hard-scattering processes and along with the parton distribution functions (PDFs) of initial hadrons (in hadron-hadron collision) and parton-level differential cross sections are three necessary ingredients to obtain theoretical predictions for hadroproduction cross sections [5,6,7,8,9]. Other well-known groups which have determined sets of NLO FFs for these two mesonic species are: AKK [18], LSS [19], DSEHS [20], DSS [21,22], HKNS [23] and JAM [24] collaborations who have used different phenomenological models and variety of experimental data In these studies, main focus was put on quantifying the effects of the inclusion of new measurements on the FFs, in the JAM and HKNS fits these were limited to SIA data. We will present an attempt to estimate the uncertainties of the extracted FFs as well as the resulting normalized total cross sections, for which we adopt the Hessian method [36,37,38] As it is well known, in the standard model of particle physics the top quark has a short lifetime so it decays before hadronization takes place.
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