Quark transverse spin-momentum correlation of the pion from lattice QCD: The Boer-Mulders function
We present the first lattice QCD calculation of the quark transverse spin-momentum correlation, i.e., the T-odd Boer-Mulders function of the pion, using large-momentum effective theory. The calculation is done at three lattice spacings <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>a</a:mi><a:mo>=</a:mo><a:mo stretchy="false">{</a:mo><a:mn>0.098</a:mn><a:mo>,</a:mo><a:mn>0.085</a:mn><a:mo>,</a:mo><a:mn>0.064</a:mn><a:mo stretchy="false">}</a:mo><a:mtext> </a:mtext><a:mtext> </a:mtext><a:mi>fm</a:mi></a:mrow></a:math> and pion masses <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mo>∼</e:mo><e:mn>350</e:mn><e:mtext> </e:mtext><e:mtext> </e:mtext><e:mi>MeV</e:mi></e:math>, with pion momenta up to 1.8 GeV. The matrix elements are renormalized in a state-of-the-art scheme and extrapolated to the continuum and infinite momentum limit. We have implemented the perturbative matching up to the next-to-next-to-leading order and carried out a renormalization-group resummation. Our results provide valuable input for phenomenological analyses of the Boer-Mulders single-spin asymmetry.
Authors
- Qi-An Zhang (ORCID: https://orcid.org/0000-0002-0532-8473)
- Lisa Walter (ORCID: https://orcid.org/0000-0002-1835-2288)
- Sebastian Lahrtz
- Lingquan Ma
- Xiaonu Xiong (ORCID: https://orcid.org/0000-0002-9558-834X)
- Hai-Tao Shu (ORCID: https://orcid.org/0000-0001-7197-4281)
- Jun Hua (ORCID: https://orcid.org/0000-0002-9195-0954)
- Yushan Su (ORCID: https://orcid.org/0000-0002-3688-5803)
- Wei Wang (ORCID: https://orcid.org/0000-0001-9223-6472)
- Peng Sun (ORCID: https://orcid.org/0000-0001-9625-0212)
- Jian-Hui Zhang (ORCID: https://orcid.org/0000-0002-8614-7323)
- Andreas Schäfer (ORCID: https://orcid.org/0000-0003-1171-0078)
- Yi-Bo Yang
Institutions
- Central South University (CN)
- Chinese University of Hong Kong (HK)
- Shanghai Jiao Tong University (CN)
- South China Normal University (CN)
- Beijing Normal University (CN)
- Central China Normal University (CN)
- International Centre for Theoretical Physics Asia-Pacific (CN)
- Institute of Theoretical Physics (CN)
- Institute of Modern Physics (CN)
- University of Chinese Academy of Sciences (CN)
- University of Regensburg (DE)
- University of Maryland, College Park (US)
- Beihang University (CN)
- University College of Applied Science (PS)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-05-07
- DOI
- https://doi.org/10.1103/physrevd.111.094507
- Citations
- 8
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 14.96
Funders
- Deutsche Forschungsgemeinschaft
- National Natural Science Foundation of China
- Chinese Academy of Sciences
- Chinese University of Hong Kong
- Gauss Centre for Supercomputing
- Leibniz-Gemeinschaft
- National Key Research and Development Program of China
- Fundamental Research Funds for the Central Universities
- Leibniz-Rechenzentrum
- Basic and Applied Basic Research Foundation of Guangdong Province