Scaling violations of quark and gluon jet fragmentation functions

Flavour inclusive, udsc and b fragmentation functions in unbiased jets, and flavour inclusive, udsc, b and gluon fragmentation functions in biased jets are measured in e+e− annihilations from data collected at centre-of-mass energies of 91.2, and 183–209GeV with the OPAL detector at LEP. The unbiased jets are defined by hemispheres of inclusive hadronic events, while the biased jet measurements are based on three-jet events selected with jet algorithms. Several methods are employed to extract the fragmentation functions over a wide range of scales. Possible biases are studied in the results obtained. The fragmentation functions are compared to results from lower energy e+e− experiments and with earlier LEP measurements and are found to be consistent. Scaling violations are observed and are found to be stronger for the fragmentation functions of gluon jets than for those of quarks. The measured fragmentation functions are compared to three recent theoretical next-to-leading order calculations and to the predictions of three Monte Carlo event generators. While the Monte Carlo models are in good agreement with the data, the theoretical predictions fail to describe the full set of results, in particular the b and gluon jet measurements. a and at TRIUMF, Vancouver, Canada V6T 2A3 c and Institute of Nuclear Research, Debrecen, Hungary e and Department of Experimental Physics, University of Debrecen, Hungary f and MPI Munchen g and Research Institute for Particle and Nuclear Physics, Budapest, Hungary h now at University of Liverpool, Dept of Physics, Liverpool L69 3BX, U.K. i now at Dept. Physics, University of Illinois at UrbanaChampaign, U.S.A. j and Manchester University k now at University of Kansas, Dept of Physics and Astronomy, Lawrence, KS 66045, U.S.A. l now at University of Toronto, Dept of Physics, Toronto, Canada m current addressBergischeUniversitat,Wuppertal, Germany n now at University of Mining and Metallurgy, Cracow, Poland o now at University of California, San Diego, U.S.A. p now at The University of Melbourne, Victoria, Australia q now at IPHE Universite de Lausanne, 1015 Lausanne, Switzerland r now at IEKP Universitat Karlsruhe, Germany s now at University of Antwerpen, Physics Department,2610 Antwerpen, Belgium; supported by Interuniversity Attraction Poles Programme – Belgian Science Policy u and High Energy Accelerator Research Organisation (KEK), Tsukuba, Ibaraki, Japan

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