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Signs of nonmonotonic finite-volume corrections to gA

Zack Hall1,2, Dimitra A. Pefkou3,2, Aaron S. Meyer4, Thomas R. Richardson3,2, Raúl A. Briceño3,2, M. A. Clark5, Martin Hoferichter6, Emanuele Mereghetti7, Henry Monge-Camacho8 et al.

Colin Morningstar9, Amy Nicholson1, Pavlos Vranas4,2, and André Walker-Loud2,3,4

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Phys. Rev. C 113, 055206 – Published 11 May, 2026

DOI: https://doi.org/10.1103/q88h-2vz8

Abstract

We study finite-volume (FV) corrections to determinations of gA 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-Nc constraints on the axial couplings. We further show that nonmonotonic FV corrections are naturally allowed when one considers either including explicit Δ-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 gA using models of FV corrections that are monotonic and nonmonotonic. Using lattice QCD data that is approximately at the 1% level of precision, we do not see significant evidence of nonmonotonic corrections. Looking forward to the next phase of lattice QCD calculations, we estimate that calculations that are between the 0.1% and 1% level of precision may be sensitive to these FV artifacts. Finally, we present an update of the CalLat prediction of gA in the isospin limit with subpercent precision, gAQCD=1.2674(96).

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Phys. Rev. C 113, 055206– Published 11 May, 2026
  • Received 24 April 2025
  • Revised 15 December 2025
  • Accepted 19 March 2026
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