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Signs of Non-Monotonic Finite-Volume Corrections to $g_A$ by Hall, Zack B.; Pefkou, Dimitra A.; Meyer, Aaron S.; Richardson, Thomas R.; Briceño, Raúl A.; Clark, M. A.; Hoferichter, Martin; Mereghetti, Emanuele; Monge-Camacho, Henry; Morningstar, Colin; Nicholson, Amy; Vranas, Pavlos; Walker-Loud, André is a scholarly article available to read on EtoBox.

What is Signs of Non-Monotonic Finite-Volume Corrections to $g_A$ about?

We study finite-volume (FV) corrections to determinations of $g_A$ via lattice quantum chromodynamics (QCD) using analytic results and numerical analysis. We observe that $SU(2)$ Heavy Baryon Chiral Perturbation Theory does not provide an unambiguous prediction for the sign of the FV correction, which is not surprising when one also considers large-$N_c$ constraints on the axial couplings. We further show that non-monotonic FV corrections are naturally allowed when one considers either including explicit $\Delta$-resonance degrees of freedom or one works to higher orders in the chiral expansion. We investigate the potential impact of these FV corrections with a precision study of $g_A$ using models of FV corrections that are monotonic and non-monotonic. Using lattice QCD data that is approximately at the 1% level of precision, we do not see significant evidence of non-monotonic corrections. Looking forward to the next phase of lattice QCD calculations, we estimate that calculations that are between the 0.1%-1%-level of precision may be sensitive to these FV artifacts. Finally, we present an update of the CalLat prediction of $g_A$ in the isospin limit with sub-percent precision, $g

Author

Hall, Zack B.; Pefkou, Dimitra A.; Meyer, Aaron S.; Richardson, Thomas R.; Briceño, Raúl A.; Clark, M. A.; Hoferichter, Martin; Mereghetti, Emanuele; Monge-Camacho, Henry; Morningstar, Colin; Nicholson, Amy; Vranas, Pavlos; Walker-Loud, André

Published

2025

Language

EN