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arXiv · 2601.10857

The Spectrum and Scale Setting on 2+1-flavor NME Lattices

Jun-sik Yoo·June-Haak Ee·Sungwoo Park·Rajan Gupta·Tanmoy Bhattacharya·Santanu Mondal·Bálint Joó·Robert Edwards·Kostas Orginos·Frank Winter
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Abstract

This paper describes the thirteen ensembles, named NME, generated with 2+1-flavor Wilson-clover fermions by the JLab/W\&M/LANL/MIT/Marseille collaborations, and presents an analysis of the meson and baryon spectrum, decay constants $f_\pi$ and $f_K$, flow scales $t_0$ and $w_0$, and time histories of the $\Theta$ and Weinberg operators under gradient flow. Using these quantities, the physical point values of the two flow scales, ${t_0^{\rm Phy}}$ and ${w_0^{\rm Phy}}$, and the ratio $\mathop{f_K / f_\pi}^{\rm Phy}$ are determined. The masses of the octet and decuplet baryons are analyzed using both the next-to-leading order (NLO) and the next-next-to-leading order (NNLO) ansatz from heavy baryon chiral perturbation theory (HB$\chi$PT). The NNLO fit to the octet baryons, $M_N$, $M_\Sigma$, $M_\Lambda$ and $M_\Xi$, is preferred while the corresponding fits to the decuplet Omega mass, $M_\Omega$, are not distinguished. We also present a study of the autocorrelations in the data and show that there is no evidence, even at large flow time, of the freezing of the topological charge or the Weinberg three-gluon operator.

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Jun-sik Yoo, June-Haak Ee, Sungwoo Park, Rajan Gupta, Tanmoy Bhattacharya, Santanu Mondal, Bálint Joó, Robert Edwards, Kostas Orginos, Frank Winter. 2026-01-15. The Spectrum and Scale Setting on 2+1-flavor NME Lattices. https://arxiv.org/abs/2601.10857

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