Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function
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arXiv
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| Main Authors: | , , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915083626479616 |
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| author | Walter, Lisa Hua, Jun Lahrtz, Sebastian Ma, Lingquan Schäfer, Andreas Shu, Hai-Tao Su, Yushan Sun, Peng Wang, Wei Xiong, Xiaonu Yang, Yi-Bo Zhang, Jian-Hui Zhang, Qi-An |
| author_facet | Walter, Lisa Hua, Jun Lahrtz, Sebastian Ma, Lingquan Schäfer, Andreas Shu, Hai-Tao Su, Yushan Sun, Peng Wang, Wei Xiong, Xiaonu Yang, Yi-Bo Zhang, Jian-Hui Zhang, Qi-An |
| contents | 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 (LaMET). The calculation is done at three lattice spacings $a=(0.098, 0.085, 0.064)$ fm and pion masses $\sim350$ MeV, 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_19988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function Walter, Lisa Hua, Jun Lahrtz, Sebastian Ma, Lingquan Schäfer, Andreas Shu, Hai-Tao Su, Yushan Sun, Peng Wang, Wei Xiong, Xiaonu Yang, Yi-Bo Zhang, Jian-Hui Zhang, Qi-An High Energy Physics - Lattice 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 (LaMET). The calculation is done at three lattice spacings $a=(0.098, 0.085, 0.064)$ fm and pion masses $\sim350$ MeV, 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. |
| title | Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2412.19988 |