Abstract
The current paper presents a determination of ${K}_{S}^{0}$ and $\mathrm{\ensuremath{\Lambda}}/\overline{\mathrm{\ensuremath{\Lambda}}}$ fragmentation functions (FFs) from QCD analysis of single-inclusive electron-positron annihilation process (SIA). Our FFs determinations are performed at next-to-leading order (NLO), and for the first time, at next-to-next-to-leading order (NNLO) accuracy in perturbative quantum chromodynamics (pQCD) which is designated as SAK20 FFs. Each of these FFs is accompanied by their uncertainties which are determined using the ``Hessian'' method. Considering the hadron mass corrections, we clearly investigate the reliability of our results upon the inclusion of higher-order QCD correction. We provide comparisons of SAK20 FFs set with the available analysis from another group, finding in general a reasonable agreement, and also considerable differences. In order to judge the fit quality, our theoretical predictions are compared with the analyzed SIA datasets. SAK20 FFs at NLO and NNLO accuracy along with their uncertainties are made available in the standard LHAPDF format in order to use for predictions of present and future measurements in high-energy collisions such as LHC and RHIC.
Highlights
In perturbative quantum chromodynamics, unpolarized fragmentation functions (FFs) are necessary ingredients to calculate the cross section of inclusive single hadron production in hard scattering processes [1,2,3,4,5,6,7,8,9,10,11,12]
The current paper presents a determination of K0S and Λ=Λfragmentation functions (FFs) from QCD analysis of single-inclusive electron-positron annihilation process (SIA)
Our FFs determinations are performed at next-to-leading order (NLO), and for the first time, at next-to-next-to-leading order (NNLO) accuracy in perturbative quantum chromodynamics which is designated as SAK20 FFs
Summary
In perturbative quantum chromodynamics (pQCD), unpolarized fragmentation functions (FFs) are necessary ingredients to calculate the cross section of inclusive single hadron production in hard scattering processes [1,2,3,4,5,6,7,8,9,10,11,12]. In perturbative QCD, Collinear FFs Dhi ðz; μ2FÞ can be expressed as a probability for a parton i at the factorization scale μF to fragment into a hadron h which carries the fraction z of the parton momentum. From the factorization theorem [18], the leading twist term of single hadron inclusive production measurements can be interpreted as the convolution of universal FFs with partonic
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