Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order
High Energy Physics - Phenomenology
2018-08-15 v1 Nuclear Theory
Abstract
We calculate the matching of the transversity and pretzelosity transverse momentum dependent distributions (TMD) on transversity collinear distribution at the next-to-next-to-leading order (NNLO). We find that the matching coefficient for pretzelosity distribution is zero, despite the matrix element for it is nontrivial. This result suggests that the pretzelosity matches a twist-4 distribution. The matching for transversity TMD distributions is provided for both parton distribution functions and fragmentation functions cases.
Keywords
Cite
@article{arxiv.1805.07243,
title = {Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order},
author = {Daniel Gutierrez-Reyes and Ignazio Scimemi and Alexey Vladimirov},
journal= {arXiv preprint arXiv:1805.07243},
year = {2018}
}
Comments
16 pages. Mathematica files with details of the calculation are included