English

On the Evolution of Sum Rules for T-Odd Distribution and Fragmentation Functions

High Energy Physics - Phenomenology 2014-10-21 v4

Abstract

We test stability against probabilistic evolution of sum rules for transverse-momentum-dependent distribution and fragmentation functions. We find that preservation of the Burkardt sum rule for Sivers distribution functions is similar to the conservation of longitudinal momentum related to spin-averaged parton distributions. At the same time, preservation of the Schaefer-Teryaev sum rule for Collins functions is similar to preservation of the Burkhardt-Cottingham sum rule for the spin-dependent g_2 structure function.

Cite

@article{arxiv.1406.1604,
  title  = {On the Evolution of Sum Rules for T-Odd Distribution and Fragmentation Functions},
  author = {Philip G. Ratcliffe and Oleg V. Teryaev},
  journal= {arXiv preprint arXiv:1406.1604},
  year   = {2014}
}

Comments

Revised version: additional text and reference

R2 v1 2026-06-22T04:32:22.458Z