From three physical-point twisted mass ensembles, the authors extract g_A, the axial radius, g_P^* and g_piNN in the continuum limit and report that PCAC and pion pole dominance hold.
Nucleon Axial Form Factor from Lattice QCD
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Results for the isovector axial form factors of the proton from a lattice QCD calculation are presented for both point-split and local currents. They are obtained on a quenched $16^{3} \times 24$ lattice at $\beta= 6.0$ with Wilson fermions for a range of quark masses from strange to charm. We determine the finite lattice renormalization for both the local and point-split currents of heavy quarks. Results extrapolated to the chiral limit show that the $q^2$ dependence of the axial form factor agrees reasonably well with experiment. The axial coupling constant $g_A$ calculated for the local and the point-split currents is about 6\% and 12\% smaller than the experimental value respectively.
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Isovector axial and pseudoscalar form factors from twisted mass lattice QCD at the physical point
From three physical-point twisted mass ensembles, the authors extract g_A, the axial radius, g_P^* and g_piNN in the continuum limit and report that PCAC and pion pole dominance hold.