Fragmentation functions from semi-inclusive DIS pion production and implications for the polarized parton densities

E. Christova; S. Kretzer; E. Leader

doi:10.1007/s100520100815

paper

Fragmentation functions from semi-inclusive DIS pion production and implications for the polarized parton densities

arXiv:hep-ph/0108055 · doi:10.1007/s100520100815

Abstract

By combining recent HERMES data on semi-inclusive DIS $π^{\pm}$ -production with the singlet fragmentation function $D_{Σ}^{π^{+}}$ , which is well determined from $e^{+} e^{-}$ data, we are able to extract, for the first time, the flavoured fragmentation functions $D_{u}^{π^{+}}$ , $D_{d}^{π^{+}}$ and $D_{s}^{π^{+}}$ without making any assumptions about favoured and unfavoured transitions. Whereas $D_{u}^{π^{+}}$ and $D_{d}^{π^{+}}$ are very well determined, the accuracy of $D_{s}^{π^{+}}$ is limited by the uncertainty in evolving $D_{Σ}^{π^{+}}$ from the $Z^{0}$ pole down to the SIDIS scale of a few $(G e V)^{2}$ . We discuss how the precision on $D_{s}^{π^{+}}$ could be improved. Knowledge of the $D_{q = u, d, s}^{π^{+}}$ will permit the extraction of the polarized parton densities from future polarized SIDIS asymmetry measurements. We study the precision that can be expected in such an extraction.

19 pages, 7 figures, minor changes for publication in EPJC

Fragmentation functions from semi-inclusive DIS pion production and implications for the polarized parton densities

Abstract

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