The Role of Hadronization Processes in Determination of Fragmentation Functions

Abstract

We present the results of a global fit to data from different hadronization processes such as single-inclusive electron-positron annihilation and semi-inclusive deep inelastic scattering to calculate pion and kaon fragmentation functions. We perform an improvement to the pion and kaon fragmentation functions at next-to-leading order (NLO), by including recent single-inclusive electron-positron annihilation data from BaBar and Belle at Q = 10.54 GeV and Q = 10.52 GeV, respectively. Our main purpose is to show how much imposing of these new data in our analysis improves the fragmentation functions of pion and kaon at NLO.

Heavy-quark fragmentation functions at next-to-leading perturbative QCD

“…Since the hadronization mechanism is universal and independent of the perturbative processes which produce the partons one can exploit, for example, the existing data on e + e − → i ī → M + jets events to fit the proposed models for the i → M transition. In [5,6], considering a power model for the FFs we determined the π ± /K ± FFs, both at LO and NLO, through a global fit to the single-inclusive e + e − annihilation data and the semi-inclusive deep inelastic scattering asymmetry data from HERMES and COMPASS. This phenomenological approach is frequently used to obtain the nonperturbative FFs.…”

Proton fragmentation functions considering finite-mass corrections

“…The results indicate that the FFs, especially gluon and lightquark FFs, have large uncertainties at small Q 2 . More information and a detailed discussion can be found in [18,23].…”

“…We also impose the effects of the proton mass on the FFs, a topic with very little attention paid to in the literatures, e.g. [17][18][19][20][21][22][23]. We show that this effect is important in calculating gluon and light quark FFs, specifically at low energies.…”

“…There are several theoretical studies on QCD analysis of FFs which used special parameterizations and different experimental data in their global analysis. Recent extracted FFs for light hadrons are related to AKK [16], SKMA [17,18], LSS [19], DSEHS [20], DSS [21,22] and HKNS [23] collaborations who used different phe-nomenological models and varying experimental data. In [17,18], we determined the π ± and K ± FFs, both at leading order (LO) and NLO through a global fit to the single-inclusive e + e − annihilation (SIA) data and the semi-inclusive deep inelastic scattering (SIDIS) asymmetry data from HERMES and COMPASS.…”

“…Recent extracted FFs for light hadrons are related to AKK [16], SKMA [17,18], LSS [19], DSEHS [20], DSS [21,22] and HKNS [23] collaborations who used different phe-nomenological models and varying experimental data. In [17,18], we determined the π ± and K ± FFs, both at leading order (LO) and NLO through a global fit to the single-inclusive e + e − annihilation (SIA) data and the semi-inclusive deep inelastic scattering (SIDIS) asymmetry data from HERMES and COMPASS. There, we broke the symmetry assumption between the quark and antiquark FFs for favored partons by using the asymmetry data.…”