Evolution of Chirality-odd Twist-3 Fragmentation Functions
Abstract
We derive the complete set of evolutions of chirality-odd twist-3 fragmentation functions at one-loop level. There are totally nine real twist-3 fragmentation functions, among which seven are independent. The renormalization-scale dependence of the nine functions has an important implication for studies of single transverse-spin asymmetries. We find that the evolutions of the three complex fragmentation functions defined by quark-gluon-quark operator are mixed with themselves. There is no mixing with the fragmentation functions defined only with bilinear quark field operators. In the large- limit the evolutions of the three complex fragmentation functions are simplified and reduced to six homogenous equations.
Keywords
Cite
@article{arxiv.1701.04141,
title = {Evolution of Chirality-odd Twist-3 Fragmentation Functions},
author = {J. P. Ma and G. P. Zhang},
journal= {arXiv preprint arXiv:1701.04141},
year = {2017}
}
Comments
representation improved, published version