We present the first lattice QCD calculation of the quark transverse spin-momentum correlation, i.e., the naive time-reversal-odd Boer-Mulders function, of the nucleon, using large-momentum effective theory (LaMET). The calculation is carried out on an ensemble with lattice spacing a=0.098 fm and pion mass 338 MeV, at various proton momenta up to 2.11 GeV. We have implemented perturbative matching up to the next-to-next-to-leading order together with a renormalization-group resummation improvement. The result exhibits a decay behavior with increasing transverse separation b⊥. We also compare the results in the nucleon and pion.
@article{arxiv.2502.11807,
title = {Quark Transverse Spin-Momentum Correlation of the Nucleon from Lattice QCD: The Boer-Mulders Function},
author = {Lingquan Ma and Jun Hua and Andreas Schäfer and Hai-Tao Shu and Yushan Su and Peng Sun and Lisa Walter and Wei Wang and Xiaonu Xiong and Yi-Bo Yang and Jian-Hui Zhang and Qi-An Zhang},
journal= {arXiv preprint arXiv:2502.11807},
year = {2025}
}