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@ARTICLE{Green:834139,
      author       = {Green, Jeremy and Hasan, Nesreen and Meinel, Stefan and
                      Engelhardt, Michael and Krieg, Stefan and Laeuchli, Jesse
                      and Negele, John and Orginos, Kostas and Pochinsky, Andrew
                      and Syritsyn, Sergey},
      title        = {{U}p, down, and strange nucleon axial form factors from
                      lattice {QCD}},
      journal      = {Physical review / D},
      volume       = {95},
      number       = {11},
      issn         = {2470-0010},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2017-04137},
      pages        = {114502},
      year         = {2017},
      abstract     = {We 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.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {1703.06703},
      howpublished = {arXiv:1703.06703},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1703.06703;\%\%$},
      UT           = {WOS:000403232800003},
      doi          = {10.1103/PhysRevD.95.114502},
      url          = {https://juser.fz-juelich.de/record/834139},
}