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
Full text: pdf
Pre-published on: May 16, 2022
Published on:
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
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.