Abstract
The main aim of this paper is a new determination of transverse momentum dependence of unpolarized fragmentation function (TMD FFs) in single inclusive hadron production in electron-positron annihilation (SIA) process. Motivated by the need for a reliable and consistent determination of TMD FFs, we use the most recent TMD production cross sections of charged pions ($\pi^\pm$), kaons ($K^\pm$) and protons/antiprotons ($p/\bar{p}$) measured in inclusive $e^+e^-$ collisions by Belle Collaboration. These datasets are the first transverse momentum dependence of identified light charged hadron measurements SIA process. In this analysis, referred to as {\tt SK19 TMD FFs}, the common Gaussian distribution is used for the $P_{hT}$ dependent of the cross section. The uncertainties in the extraction of {\tt SK19 TMD FFs} are estimated using the standard "Hessian" technique. We study the quality of the TMD FFs determined in this analysis by comparing with the available recent Belle cross sections measurement. For all hadron species, we found a very good agreement between this particular set of experimental data and the corresponding theory calculations over a relatively wide range of transverse momentum $P_{hT}$. As a result of this study, suggestions are identified for possible future research considering the theory improvements and other available experimental observables.
Highlights
Understanding the structure of hadron based on their fundamental particles, quarks and gluons, is gained substantial interest for the theoretical and experimental high-energy physics communities
We first assess the quality of our QCD fit which is followed by detailed discussions of the main features of SK19 transverse momentum dependence of unpolarized fragmentation function (TMD FF) and compare the resulting theory predictions with the Belle experimental data
Over the last few years, the measurements of the Collins asymmetries in eþe− → h1h2X are performed by Belle and BABAR Collaborations, and several dedicated analyses are used these datasets to calculate the polarized TMD FFs
Summary
Understanding the structure of hadron based on their fundamental particles, quarks and gluons, is gained substantial interest for the theoretical and experimental high-energy physics communities. The significant information on the hadron structure in terms of their constituents is provided from the high-energy charged leptonnucleon (lN) deep inelastic scattering (DIS) experiments at HERA collider for a wide kinematic range of momentum fraction x [1,2]. In addition to the HERA experiment, the large hadron collider (LHC) is providing valuable information in TeV scale hadron-hadron (pp) collisions. The high-energy particle physics community is preparing for the extensive precision at Run III of the LHC working with the luminosity a factor of 5 greater than the LHC [3].
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