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000328799 1001_ $$0P:(DE-H253)PIP1103462$$aGreen, Jeremy$$b0$$eCorresponding author$$udesy
000328799 245__ $$aUp, down, and strange nucleon axial form factors from lattice QCD
000328799 260__ $$aWoodbury, NY$$bAPS$$c2017
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000328799 520__ $$aWe report a calculation of the nucleon axial form factors $G^{q}_{A}(Q^{2})$ and $G^{q}_{P}(Q^{2})$ for all three light quark flavors $q ∈ {u,d,s}$ in the range $0 ≤ Q^2 ≲ 1.2  GeV^2$ using lattice QCD. This work was done using a single ensemble with pion mass 317 MeV and made use of the hierarchical probing technique to efficiently evaluate the required disconnected loops. We perform nonperturbative renormalization of the axial current, including a nonperturbative treatment of the mixing between light and strange currents due to the singlet-nonsinglet difference caused by the axial anomaly. The form factor shapes are fit using the model-independent z expansion. From $G^{q}_{A}(Q^{2})$, we determine the quark contributions to the nucleon spin and axial radii. By extrapolating the isovector $G^{u-d}_{P}(Q^{2})$, we obtain the induced pseudoscalar coupling relevant for ordinary muon capture and the pion-nucleon coupling constant. We find that the disconnected contributions to GP form factors are large, and give an interpretation based on the dominant influence of the pseudoscalar poles in these form factors. 
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000328799 7001_ $$0P:(DE-HGF)0$$aHasan, Nesreen$$b1$$eCorresponding author
000328799 7001_ $$0P:(DE-HGF)0$$aMeinel, Stefan$$b2$$eCorresponding author
000328799 7001_ $$0P:(DE-HGF)0$$aEngelhardt, Michael$$b3
000328799 7001_ $$0P:(DE-HGF)0$$aKrieg, Stefan$$b4
000328799 7001_ $$0P:(DE-HGF)0$$aLaeuchli, Jesse$$b5
000328799 7001_ $$0P:(DE-HGF)0$$aNegele, John$$b6
000328799 7001_ $$0P:(DE-HGF)0$$aOrginos, Kostas$$b7
000328799 7001_ $$0P:(DE-HGF)0$$aPochinsky, Andrew$$b8
000328799 7001_ $$0P:(DE-HGF)0$$aSyritsyn, Sergey$$b9
000328799 773__ $$0PERI:(DE-600)2844732-3$$a10.1103/PhysRevD.95.114502$$gVol. 95, no. 11, p. 114502$$n11$$p114502$$tPhysical review / D$$v95$$x2470-0029$$y2017
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