Double parton distributions in the pion from lattice QCD
High Energy Physics - Lattice
2021-02-24 v2 High Energy Physics - Phenomenology
Abstract
We perform a lattice study of double parton distributions in the pion, using the relationship between their Mellin moments and pion matrix elements of two local currents. A good statistical signal is obtained for almost all relevant Wick contractions. We investigate correlations in the spatial distribution of two partons in the pion, as well as correlations involving the parton polarisation. The patterns we observe depend significantly on the quark mass. We investigate the assumption that double parton distributions approximately factorise into a convolution of single parton distributions.
Cite
@article{arxiv.2006.14826,
title = {Double parton distributions in the pion from lattice QCD},
author = {Gunnar S. Bali and Luca Castagnini and Markus Diehl and Jonathan R. Gaunt and Benjamin Gläßle and Andreas Schäfer and Christian Zimmermann},
journal= {arXiv preprint arXiv:2006.14826},
year = {2021}
}
Comments
60 pages, 33 figures. v2: added clarifications and a comparison with quark model results