Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914772001226752 |
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| author | Rodekamp, Marcel Engelhardt, Michael Green, Jeremy R. Krieg, Stefan Liuti, Simonetta Meinel, Stefan Negele, John W. Pochinsky, Andrew Syritsyn, Sergey |
| author_facet | Rodekamp, Marcel Engelhardt, Michael Green, Jeremy R. Krieg, Stefan Liuti, Simonetta Meinel, Stefan Negele, John W. Pochinsky, Andrew Syritsyn, Sergey |
| contents | The second Mellin moments $\langle x\rangle$ of the nucleon's unpolarized, polarized, and transversity parton distribution functions (PDFs) are computed. Two lattice QCD ensembles at the physical pion mass are used: these were generated using a tree-level Symanzik-improved gauge action and 2+1 flavour tree-level improved Wilson Clover fermions coupling via 2-level HEX-smearing. The moments are extracted from forward matrix elements of local leading twist operators. We determine renomalization factors in RI-(S)MOM and match to $\overline{\mathrm{MS}}$ at scale $2\,\mathrm{GeV}$. Our findings show that operators that exhibit vanishing kinematics at zero momentum can have significantly reduced excited-state contamination. The resulting polarized moment is used to quantify the longitudinal contribution to the quark spin-orbit correlation. All our results agree within two sigma with previous lattice results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05360 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point Rodekamp, Marcel Engelhardt, Michael Green, Jeremy R. Krieg, Stefan Liuti, Simonetta Meinel, Stefan Negele, John W. Pochinsky, Andrew Syritsyn, Sergey High Energy Physics - Lattice The second Mellin moments $\langle x\rangle$ of the nucleon's unpolarized, polarized, and transversity parton distribution functions (PDFs) are computed. Two lattice QCD ensembles at the physical pion mass are used: these were generated using a tree-level Symanzik-improved gauge action and 2+1 flavour tree-level improved Wilson Clover fermions coupling via 2-level HEX-smearing. The moments are extracted from forward matrix elements of local leading twist operators. We determine renomalization factors in RI-(S)MOM and match to $\overline{\mathrm{MS}}$ at scale $2\,\mathrm{GeV}$. Our findings show that operators that exhibit vanishing kinematics at zero momentum can have significantly reduced excited-state contamination. The resulting polarized moment is used to quantify the longitudinal contribution to the quark spin-orbit correlation. All our results agree within two sigma with previous lattice results. |
| title | Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.05360 |