Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2023-05, Vol.83 (5), p.440-14, Article 440
• Main Authors: Lutz, Matthias F. M., Heo, Yonggoo, Guo, Xiao-Yu
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Baryons; Datasets; Discretization; Elementary Particles; Empirical analysis; Energy; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Pions; Quantum chromodynamics; Quantum Field Theories; Quantum Field Theory; Quarks; Regular Article - Theoretical Physics; String Theory; Theoretical physics
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-023-11556-1

We perform an analysis of Lattice QCD data on baryon octet and decuplet masses based on the chiral SU(3) Lagrangian. Low-energy constants (LEC) are adjusted to describe baryon masses from a large set of CLS ensembles, where finite-box and discretization effects are considered. The set is successfully compared against previous Lattice QCD data from ensembles generated with distinct QCD actions by the ETMC, QCDSF-UKQCD and HSC groups. Discretization effects are modelled by the use of action and lattice-scale dependent leading orders LEC, where uniform values are imposed in the limit of vanishing lattice scales. From the CLS data set we extract a pion-nucleon sigma term, σ π N = 58.7 ( 1.2 ) MeV, compatible with its empirical value.