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Determination of fragmentation functions and their uncertainties

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arxiv hep-ph/0702250 v2 pith:LSBRSXVN submitted 2007-02-25 hep-ph hep-exnucl-exnucl-th

Determination of fragmentation functions and their uncertainties

classification hep-ph hep-exnucl-exnucl-th
keywords functionsfragmentationuncertaintieslargesmallanalysisdatadetermination
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Fragmentation functions and their uncertainties are determined for pion, kaon, and proton by a global $\chi^2$ analysis of charged-hadron production data in electron-positron annihilation and by the Hessian method for error estimation. It is especially important that the uncertainties of the fragmentation functions are estimated in this analysis. The results indicate that the fragmentation functions, especially gluon and light-quark fragmentation functions, have large uncertainties at small $Q^2$. There are large differences between widely-used functions by KKP (Kniehl, Kramer, and P\"otter) and Kretzer; however, they are compatible with each other and also with our functions if the uncertainties are taken into account. We find that determination of the fragmentation functions is improved in next-to-leading-order (NLO) analyses for the pion and kaon in comparison with leading-order ones. Such a NLO improvement is not obvious in the proton. Since the uncertainties are large at small $Q^2$, the uncertainty estimation is very important for analyzing hadron-production data at small $Q^2$ or $p_T$ ($Q^2, p_T^2 << M_Z^2$) in lepton scattering and hadron-hadron collisions. A code is available for general users for calculating obtained fragmentation functions.

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Forward citations

Cited by 5 Pith papers

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  2. Determination of Fragmentation Functions from Charge Asymmetries in Hadron Production

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