Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD
Abstract
Using forward matrix elements of local leading-twist operators, we present a determination of the isovector third Mellin moments < x2 > of nucleon unpolarized, polarized, and transversity parton distribution functions. Two lattice QCD ensembles at the physical pion mass are used, which were generated using a tree-level Symanzik-improved gauge action and 2+1 flavor tree-level improved Wilson Clover fermions coupling via 2-level HEX-smearing. Leveraging a wide set of operators, two extraction methods for the matrix elements, and the automatic inclusion of model uncertainties via bootstrapped model averages, we extract values of the third Mellin moments. This is the first direct calculation of these observables performed at the physical pion mass.
Versions
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BibTeX
@misc{taggi2026third,
title = {{Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD}},
author = {Emilio Taggi and Michael Engelhardt and Jeremy R. Green and Stefan Krieg and Stefan Meinel and John W. Negele and Andrew Pochinsky and Marcel Rodekamp and Sergey Syritsyn},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.02808},
eprint = {2605.02808},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.02808},
}
RIS
TY - UNPB
TI - Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD
AU - Emilio Taggi
AU - Michael Engelhardt
AU - Jeremy R. Green
AU - Stefan Krieg
AU - Stefan Meinel
AU - John W. Negele
AU - Andrew Pochinsky
AU - Marcel Rodekamp
AU - Sergey Syritsyn
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2605.02808
UR - https://arxiv.org/abs/2605.02808
AB - Using forward matrix elements of local leading-twist operators, we present a determination of the isovector third Mellin moments < x^2 > of nucleon unpolarized, polarized, and transversity parton distribution functions. Two lattice QCD ensembles at the physical pion mass are used, which were generated using a tree-level Symanzik-improved gauge action and 2+1 flavor tree-level improved Wilson Clover fermions coupling via 2-level HEX-smearing. Leveraging a wide set of operators, two extraction methods for the matrix elements, and the automatic inclusion of model uncertainties via bootstrapped model averages, we extract values of the third Mellin moments. This is the first direct calculation of these observables performed at the physical pion mass.
ER -