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We present results for the isovector axial vector form factors obtained using thirteen 2+1+1-flavor highly improved staggered quark (HISQ) ensembles generated by the MILC collaboration. The calculation of nucleon two- and three-point correlation functions has been done using Wilson-clover fermions. In the analysis of these data, we quantify the sensitivity of the results to strategies used for removing excited state contamination and invoke the partially conserved axial current relation between the form factors to choose between them. Our data driven analysis includes removing contributions from multihadron Nπ states that make significant contributions. Our final results are gA=1.292(53)stat(24)sys for the axial charge; gS=1.085(50)stat(103)sys and gT=0.991(21)stat(10)sys for the scalar and tensor charges; ⟨rA2⟩=0.439(56)stat(34)sys fm2 for the mean squared axial charge radius, gP*=9.03(47)stat(42)sys for the induced pseudoscalar charge; and gπNN=14.14(81)stat(85)sys for the pion-nucleon coupling. We also provide a parametrization of the axial form factor GA(Q2) over the range 0≤Q2≤1 GeV2 for use in phenomenology and a comparison with other lattice determinations. We find that the various lattice data agree within 10% but are significantly different from the extraction of GA(Q2) from the ν-deuterium scattering data. Published by the American Physical Society 2024
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