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• W2751205936 abstract "We calculate the nucleon axial form factor up to the leading one-loop order in a covariant chiral effective field theory with the $Delta(1232)$ resonance as an explicit degree of freedom. We fit the axial form factor to the latest lattice QCD data and pin down the relevant low-energy constants. The lattice QCD data, for various pion masses below $400$ MeV, can be well described up to a momentum transfer of $sim 0.6$ GeV. The $Delta(1232)$ loops contribute significantly to this agreement. Furthermore, we extract the axial charge and radius based on the fitted values of the low energy constants. The results are: $g_A=1.237(74)$ and $langle r_A^2rangle =0.263(38)~{rm fm}^2$. The obtained coupling $g_A$ is consistent with the experimental value if the uncertainty is taken into account. The axial radius is below but in agreement with the recent extraction from neutrino quasi-elastic scattering data on deuterium, which has large error bars. Up to our current working accuracy, $r_A$ is predicted only at leading order, i.e., one-loop level. A more precise determination might need terms of $mathcal{O}(p^5)$." @default.
• W2751205936 created "2017-09-15" @default.
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• W2751205936 date "2017-12-28" @default.
• W2751205936 modified "2023-10-18" @default.
• W2751205936 title "Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory" @default.
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• W2751205936 doi "https://doi.org/10.1103/physrevd.96.116022" @default.
• W2751205936 hasPublicationYear "2017" @default.
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