Impact of unidentified light charged hadron data on the determination of pion fragmentation functions

Abstract

In this paper a new comprehensive analysis of parton-to-pion fragmentation functions (FFs) is performed for the first time by including all experimental data sets on single inclusive pion as well as unidentified light charged hadron production in electron-positron (e + e − ) annihilation. We determine the pion FFs along with their uncertainties using the standard "Hessian" technique at next-to-leading order (NLO) and next-to-next-to leading order (NNLO) in perturabative QCD. It is shown that the determination of pion FFs using simultaneously the data sets from pion and unidentified light charged hadron productions leads to the reduction of all pion FFs uncertainties especially for the case of strange quark and gluon FFs by significant factors. In this study, we have quantified the constraints that these data sets could impose on the extracted pion FFs. Our results also illustrate the significant improvement in the precision of FFs fits achievable by inclusion of higher order corrections. The improvements on both FFs uncertainties as well as fit quality have been clearly discussed.

Transverse momentum dependent of charged pion, kaon, and proton/antiproton fragmentation functions from e+e− annihilation process

“…First, we discuss the details of the analysis, together with the framework that need to be considered in order to deal with the determination of the TMD FFs, such as the parameterization of the TMD FFs at the input scale. Then, following the SGK-FFs methodology [29,30], we present the method of the minimization and the uncertainties associated with the TMD FFs which are estimated using the standard Hessian approach. Now we are in a position to present the SK19 TMD FFs parametrization form for the phenomenological study of the transverse momentum distributions.…”

“…The most recent calculations for the unpolarized FFs for various hadrons and at different QCD accuracies can be found in Refs. [29,30,[33][34][35][36][37][38][39][40]. For the unpolarized FFs in Eq.…”

“…We show that an accurate predictions can be obtained considering the features of TMD factorization and evolution in the nonperturbative QCD. The SK19 TMD FFs sets are constructed following the general fitting methodology outlined in previous SGK FFs studies [29,30], which utilizes "Hessian" techniques to obtain a faithful estimate of TMD FFs uncertainties. Together with several other improvements, we present a validation of the SK19 TMD FFs results through detailed comparison with the analyzed datasets.…”

Transverse momentum dependence of fragmentation functions from Belle data

“…The most recent calculations are performed for the unpolarized FFs by using the experimental data from SIA, SIDIS and hadron-hadron collisions. [10][11][12][13]. For the unpolarized collinear term of FFs, we use of NNFF1.…”

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

“…Studies over the past two decades have provided valuable vital information on the structure of hadrons. Fragmentation functions (FFs) [1,2,3,4,5,6,7] describe the non-perturbative part of hard-scattering processes and along with the parton distribution functions (PDFs) of initial hadrons (in a given hadron-hadron collision) and parton-level differential cross sections are three important ingredients to obtain theoretical predictions for the hadroproduction cross sections [8,9,10,11,12].…”