Momentum sum rules for fragmentation functions

preprint2010arXivOpen access

Abstract

Momentum sum rules for fragmentation functions are considered. In particular, we give a general proof of the Schäfer-Teryaev sum rule for the transverse momentum dependent Collins function. We also argue that corresponding sum rules for related fragmentation functions do not exist. Our model-independent analysis is supplemented by calculations in a simple field-theoretical model.

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