Up, down, and strange nucleon axial form factors from lattice QCD

We report a calculation of the nucleon axial form factors G[superscript q][superscript A](Q[superscript 2]) and G[superscript q][subscript P](Q[superscript 2]) for all three light quark flavors q ∈ {u,d,s} in the range 0 ≤ Q[superscript 2] ≲ 1.2  GeV[superscript 2] using lattice QCD. This work was d...

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Main Authors: Green, Jeremy, Hasan, Nesreen, Meinel, Stefan, Engelhardt, Michael, Krieg, Stefan, Laeuchli, Jesse, Orginos, Kostas, Syritsyn, Sergey, Pochinsky, Andrew, Negele, John W.
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society 2017
Online Access:http://hdl.handle.net/1721.1/110022
https://orcid.org/0000-0002-5713-0039
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author Green, Jeremy
Hasan, Nesreen
Meinel, Stefan
Engelhardt, Michael
Krieg, Stefan
Laeuchli, Jesse
Orginos, Kostas
Syritsyn, Sergey
Pochinsky, Andrew
Negele, John W.
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Green, Jeremy
Hasan, Nesreen
Meinel, Stefan
Engelhardt, Michael
Krieg, Stefan
Laeuchli, Jesse
Orginos, Kostas
Syritsyn, Sergey
Pochinsky, Andrew
Negele, John W.
author_sort Green, Jeremy
collection MIT
description We report a calculation of the nucleon axial form factors G[superscript q][superscript A](Q[superscript 2]) and G[superscript q][subscript P](Q[superscript 2]) for all three light quark flavors q ∈ {u,d,s} in the range 0 ≤ Q[superscript 2] ≲ 1.2  GeV[superscript 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[superscript q][subscript A](Q[superscript 2]), we determine the quark contributions to the nucleon spin and axial radii. By extrapolating the isovector G[superscript u-d][subscript P](Q[superscript 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[subscript 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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spelling mit-1721.1/1100222023-02-26T05:48:36Z Up, down, and strange nucleon axial form factors from lattice QCD Green, Jeremy Hasan, Nesreen Meinel, Stefan Engelhardt, Michael Krieg, Stefan Laeuchli, Jesse Orginos, Kostas Syritsyn, Sergey Pochinsky, Andrew Negele, John W. Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Negele, John W Pochinsky, Andrew We report a calculation of the nucleon axial form factors G[superscript q][superscript A](Q[superscript 2]) and G[superscript q][subscript P](Q[superscript 2]) for all three light quark flavors q ∈ {u,d,s} in the range 0 ≤ Q[superscript 2] ≲ 1.2  GeV[superscript 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[superscript q][subscript A](Q[superscript 2]), we determine the quark contributions to the nucleon spin and axial radii. By extrapolating the isovector G[superscript u-d][subscript P](Q[superscript 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[subscript P] form factors are large, and give an interpretation based on the dominant influence of the pseudoscalar poles in these form factors. United States. Dept. of Energy. Office of Nuclear Physics (Grants DE–FG02–94ER40818) 2017-06-19T19:22:37Z 2017-06-19T19:22:37Z 2017-06 2017-03 2017-06-14T22:00:03Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/110022 Green, Jeremy et al. “Up, Down, and Strange Nucleon Axial Form Factors from Lattice QCD.” Physical Review D 95.11 (2017): n. pag. © 2017 American Physical Society https://orcid.org/0000-0002-5713-0039 en http://dx.doi.org/10.1103/PhysRevD.95.114502 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Green, Jeremy
Hasan, Nesreen
Meinel, Stefan
Engelhardt, Michael
Krieg, Stefan
Laeuchli, Jesse
Orginos, Kostas
Syritsyn, Sergey
Pochinsky, Andrew
Negele, John W.
Up, down, and strange nucleon axial form factors from lattice QCD
title Up, down, and strange nucleon axial form factors from lattice QCD
title_full Up, down, and strange nucleon axial form factors from lattice QCD
title_fullStr Up, down, and strange nucleon axial form factors from lattice QCD
title_full_unstemmed Up, down, and strange nucleon axial form factors from lattice QCD
title_short Up, down, and strange nucleon axial form factors from lattice QCD
title_sort up down and strange nucleon axial form factors from lattice qcd
url http://hdl.handle.net/1721.1/110022
https://orcid.org/0000-0002-5713-0039
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