A Note on Pretzelosity TMD Parton Distribution
High Energy Physics - Phenomenology
2019-03-05 v3 High Energy Physics - Experiment
Abstract
We show that the transverse-momentum-dependent parton distribution, called as Pretzelosity function, is zero at any order in perturbation theory of QCD for a single massless quark state. This implies that Pretzelosity function is not factorized with the collinear transversity parton distribution at twist-2, when the struck quark has a large transverse momentum. Pretzelosity function is in fact related to collinear parton distributions defined with twist-4 operators. In reality, Pretzelosity function of a hadron as a bound state of quarks and gluons is not zero. Through an explicit calculation of Pretzelosity function of a quark combined with a gluon nonzero result is found.
Cite
@article{arxiv.1808.10560,
title = {A Note on Pretzelosity TMD Parton Distribution},
author = {X. P. Chai and K. B. Chen and J. P. Ma},
journal= {arXiv preprint arXiv:1808.10560},
year = {2019}
}
Comments
improved explanation, published version in Phys. Lett. B