The lower moments of nucleon structure functions in lattice QCD with physical quark masses
| Autor: | Tsuji, Ryutaro, Aoki, Yasumichi, Ishikawa, Ken-Ichi, Kuramashi, Yoshinobu, Sasaki, Shoichi, Shintani, Eigo, Yamazaki, Takeshi |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We present results for the nucleon structure functions and form factors obtained from 2+1 flavor lattice QCD with physical light quark masses ($m_{\pi}=135$ MeV) in a large spatial extent of about 10 fm. Our calculations are performed with the PACS10 gauge configurations generated by the PACS Collaboration with the six stout-smeared ${\mathscr{O}}(a)$ improved Wilson-clover quark action and Iwasaki gauge action at $\beta=1.82$ and $2.00$ corresponding to lattice spacings of $0.085$ fm and $0.064$ fm respectively. The lower moments of structure functions, $\langle x \rangle_{u-d}$ and $\langle x \rangle_{\Delta u - \Delta d}$ given by the twist-2 operators being properly renormalized, are evaluated in the $\overline{\rm MS}$ scheme at the renormalization scale of 2 GeV only at $\beta=1.82$, since the renormalization factors at $\beta=2.00$ have not yet determined nonperturbatively in the RI/MOM scheme. Instead, at two lattice spacings, we evaluate appropriate ratios of $g_{A}/g_{V}$ and $\langle x \rangle_{u-d}/\langle x \rangle_{\Delta u -\Delta d}$, which are not renormalized in the continuum limit. These quantities thus can be directly compared with the experimental data without the renormalization. Comment: 9 pages, 4 figures, , talk presented at the 38th International Symposium on Lattice Field Theory (Lattice 2021), 26-30 July, 2021, Zoom/Gather@Massachusetts Institute of Technology |
| Databáze: | arXiv |
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