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

Green, Jeremy; Hasan, Nesreen; Meinel, Stefan; Engelhardt, Michael; Krieg, Stefan; Laeuchli, Jesse; Negele, John; Orginos, Kostas; Pochinsky, Andrew; Syritsyn, Sergey

doi:10.1103/PhysRevD.95.114502

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

Journal Article · Wed Jun 14 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.114502· OSTI ID:1364529

Green, Jeremy ^[1]; Hasan, Nesreen ^[2]; Meinel, Stefan ^[3]; Engelhardt, Michael ^[4]; Krieg, Stefan ^[2]; Laeuchli, Jesse ^[5]; Negele, John ^[6]; Orginos, Kostas ^[7]; Pochinsky, Andrew ^[6]; Syritsyn, Sergey ^[8]

John von Neumann-Institute for Computing (NIC), Zeuthen (Germany)
Bergische Univ., Wuppertal (Germany); Julich Research Centre (Germany). Inst. for Advanced Simulation (IAS)
Univ. of Arizona, Tucson, AZ (United States). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
New Mexico State Univ., Las Cruces, NM (United States). Dept. of Physics
College of William and Mary, Williamsburg, VA (United States). Dpet. of Computer Science
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
College of William and Mary, Williamsburg, VA (United States). Physics Dept. ; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Here, 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. Our 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 also found 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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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-94ER40818; SC-0011090; FG02-96ER40965; FC02-12ER41890; FG02-04ER41302; AC02-05HC11231; AC05-06OR23177; ACI-1053575; CCF-121834; PHY-1520996; SFB-TRR 55; FG02–94ER40818; SC–0011090; FG02–96ER40965; FC02–12ER41890; FG02–04ER41302; AC02–05HC11231; AC05–06OR23177

OSTI ID:: 1364529

Alternate ID(s):: OSTI ID: 1363979

Report Number(s):: JLAB-THY-17-2498; DOE/OR/23177-4172; arXiv:1703.06703; RBRC 1232; PRVDAQ

Journal Information:: Physical Review D, Vol. 95, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 63 works

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Deuterium target data for precision neutrino-nucleus cross sections Meyer, Aaron S.; Betancourt, Minerba; Gran, Richard arXiv https://doi.org/10.48550/arxiv.1603.03048	text	January 2016
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Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass Hasan, Nesreen; Green, Jeremy; Meinel, Stefan Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-00412	text	January 2019
FLAG Review 2019 Aoki, S.; Aoki, Y.; Becirevic, D. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-04064	text	January 2020
The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course Frois, B.; Hughes, V. W.; de Groot, N. International School of Nucleon Structure, The Spin Structure of the Nucleon https://doi.org/10.1142/9789814529051	conference	April 2017
Nucleon transverse momentum-dependent parton distributions in lattice QCD: Renormalization patterns and discretization effects Yoon, Boram; Engelhardt, Michael; Gupta, Rajan Universität Regensburg https://doi.org/10.5283/epub.39558	text	January 2017
Iso-vector axial form factors of the nucleon in two-flavour lattice QCD Capitani, Stefano; Della Morte, Michele; Djukanovic, Dalibor arXiv https://doi.org/10.48550/arxiv.1705.06186	text	January 2017
Axial Vector Form Factors of the Nucleon from Lattice QCD Gupta, Rajan; Jang, Yong-Chull; Lin, Huey-Wen arXiv https://doi.org/10.48550/arxiv.1705.06834	text	January 2017
Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review Hill, Richard J.; Kammel, Peter; Marciano, William J. arXiv https://doi.org/10.48550/arxiv.1708.08462	text	January 2017
Revival of the Fittest: Exploding Core-Collapse Supernovae from 12 to 25 M$_{\odot}$ Vartanyan, David; Burrows, Adam; Radice, David arXiv https://doi.org/10.48550/arxiv.1801.08148	text	January 2018
Nucleon charges with dynamical overlap fermions Yamanaka, Nodoka; Hashimoto, Shoji; Kaneko, Takashi arXiv https://doi.org/10.48550/arxiv.1805.10507	text	January 2018
A Successful 3D Core-Collapse Supernova Explosion Model Vartanyan, David; Burrows, Adam; Radice, David arXiv https://doi.org/10.48550/arxiv.1809.05106	text	January 2018
Nucleon axial form factor from generalized parton distributions Hashamipour, Hadi; Goharipour, Muhammad; Gousheh, Siamak S. arXiv https://doi.org/10.48550/arxiv.1903.05542	text	January 2019
Lattice QCD and Neutrino-Nucleus Scattering Kronfeld, Andreas S.; Richards, David G.; Detmold, William arXiv https://doi.org/10.48550/arxiv.1904.09931	text	January 2019
Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation Jang, Yong-Chull; Gupta, Rajan; Yoon, Boram arXiv https://doi.org/10.48550/arxiv.1905.06470	text	January 2019
Off-shell quark bilinear operator Green's functions at two loops Gracey, J. A. arXiv https://doi.org/10.48550/arxiv.1906.02116	text	January 2019

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