English

Momentum sum rules for fragmentation functions

High Energy Physics - Phenomenology 2012-07-11 v2 High Energy Physics - Experiment

Abstract

Momentum sum rules for fragmentation functions are considered. In particular, we give a general proof of the Sch\"afer-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.

Cite

@article{arxiv.1002.4393,
  title  = {Momentum sum rules for fragmentation functions},
  author = {S. Meissner and A. Metz and D. Pitonyak},
  journal= {arXiv preprint arXiv:1002.4393},
  year   = {2012}
}

Comments

12 pages; v2: Eqs. (44,46) added, minor additional changes, to appear in Phys. Lett. B

R2 v1 2026-06-21T14:50:22.259Z