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Momentum sum rules for fragmentation functions

2010/02/28 by Stephan Meißner, S. Meissner, Andreas Metz +3
Mathematics · Physics and Astronomy · #Computer science #Economics #Fragmentation (computing) #Function (biology) #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Momentum (technical analysis) #Particle physics theoretical and experimental studies #Philosophy #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Simple (philosophy) #Sum rule in quantum mechanics #Theoretical physics #hep-ex #hep-ph

paper · pdf · doi:10.1016/j.physletb.2010.05.037

published as Phys.Lett.B690:296-303,2010 · 12 pages; v2: Eqs. (44,46) added, minor additional changes, to appear in Phys. Lett. B

arxiv created 2010/05/18 · openalex publication_date 2010/05/22 · arxiv updated 2012/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations