Next-to-Leading Order Evolution of Polarized and Unpolarized Fragmentation Functions

Details Next-to-Leading Order Evolution of Polarized and Unpolarized Fragmentation Functions Next-to-Leading Order Evolution of Polarized and Unpolarized Fragmentation Functions

1996-12-04

arxiv.org/abs/hep-ph/9612250v1

Nucl.Phys. B496 (1997) 41-65

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, LaTeX, 3 figures, uses epsfig style

Scientific paper

10.1016/S0550-3213(97)00182-X

We determine the two-loop 'time-like' Altarelli-Parisi splitting functions, appearing in the next-to-leading order Q^2-evolution equations for fragmentation functions, via analytic continuation of the corresponding 'space-like' splitting functions for the evolution of parton distributions. We do this for the case of unpolarized fragmentation functions and - for the first time - also for the functions describing the fragmentation of a longitudinally polarized parton into a longitudinally polarized spin-1/2 hadron such as a Lambda baryon. Our calculation is based on the method proposed and employed by Curci, Furmanski and Petronzio in the unpolarized case in which we confirm their results.

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