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arXiv · 1406.1604

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

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.

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Philip G. Ratcliffe, Oleg V. Teryaev. 2014-06-06. On the Evolution of Sum Rules for T-Odd Distribution and Fragmentation Functions. https://arxiv.org/abs/1406.1604

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