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000834139 0247_ $$2doi$$a10.1103/PhysRevD.95.114502
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000834139 0247_ $$2ISSN$$a1550-7998
000834139 0247_ $$2ISSN$$a2470-0010
000834139 0247_ $$2ISSN$$a2470-0029
000834139 0247_ $$2arXiv$$aarXiv:1703.06703
000834139 0247_ $$2Handle$$a2128/14704
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000834139 1001_ $$0P:(DE-HGF)0$$aGreen, Jeremy$$b0$$eCorresponding author
000834139 245__ $$aUp, down, and strange nucleon axial form factors from lattice QCD
000834139 260__ $$aWoodbury, NY$$bInst.$$c2017
000834139 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2017-06-14
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000834139 520__ $$aWe report a calculation of the nucleon axial form factors $G_A^q(Q^2)$ and $G_P^q(Q^2)$ for all three light quark flavors $q\in\{u,d,s\}$ in the range $0\leq Q^2\lesssim 1.2\text{ GeV}^2$ using lattice QCD. This work was done using a single ensemble with pion mass 317 MeV and made use of the hierarchical probing technique to efficiently evaluate the required disconnected loops. We perform nonperturbative renormalization of the axial current, including a nonperturbative treatment of the mixing between light and strange currents due to the singlet-nonsinglet difference caused by the axial anomaly. The form factor shapes are fit using the model-independent $z$ expansion. From $G_A^q(Q^2)$, we determine the quark contributions to the nucleon spin and axial radii. By extrapolating the isovector $G_P^{u-d}(Q^2)$, we obtain the induced pseudoscalar coupling relevant for ordinary muon capture and the pion-nucleon coupling constant. We find that the disconnected contributions to $G_P$ form factors are large, and give an interpretation based on the dominant influence of the pseudoscalar poles in these form factors.
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000834139 542__ $$2Crossref$$i2018-06-14$$uhttp://link.aps.org/licenses/aps-default-accepted-manuscript-license
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000834139 7001_ $$0P:(DE-Juel1)145643$$aHasan, Nesreen$$b1
000834139 7001_ $$0P:(DE-HGF)0$$aMeinel, Stefan$$b2
000834139 7001_ $$0P:(DE-HGF)0$$aEngelhardt, Michael$$b3
000834139 7001_ $$0P:(DE-Juel1)132171$$aKrieg, Stefan$$b4
000834139 7001_ $$0P:(DE-HGF)0$$aLaeuchli, Jesse$$b5
000834139 7001_ $$0P:(DE-HGF)0$$aNegele, John$$b6
000834139 7001_ $$0P:(DE-HGF)0$$aOrginos, Kostas$$b7
000834139 7001_ $$0P:(DE-HGF)0$$aPochinsky, Andrew$$b8
000834139 7001_ $$0P:(DE-HGF)0$$aSyritsyn, Sergey$$b9
000834139 77318 $$2Crossref$$3journal-article$$a10.1103/physrevd.95.114502$$b : American Physical Society (APS), 2017-06-14$$n11$$p114502$$tPhysical Review D$$v95$$x2470-0010$$y2017
000834139 773__ $$0PERI:(DE-600)2844732-3$$a10.1103/PhysRevD.95.114502$$gVol. 95, no. 11, p. 114502$$n11$$p114502$$tPhysical review / D$$v95$$x2470-0010$$y2017
000834139 8564_ $$uhttps://arxiv.org/abs/1703.06703
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