PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
The lower moments of nucleon structure functions in lattice QCD with physical quark masses
R. Tsuji*, Y. Aoki, K.I. Ishikawa, Y. Kuramashi, S. Sasaki, T. Yamazaki, E. Shintani  on behalf of PACS Collaboration
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Pre-published on: May 16, 2022
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Abstract
We present results for the nucleon structure functions and form factors obtained from 2+1 flavor lattice QCD with physical light quark masses ($m_π$ = 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 $\mathcal{O}(a)$ 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.
DOI: https://doi.org/10.22323/1.396.0504
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