Axial-vector form factors of the nucleon from lattice QCD

Gupta, Rajan; Jang, Yong-Chull; Lin, Huey-Wen; Yoon, Boram; Bhattacharya, Tanmoy

doi:10.1103/PhysRevD.96.114503

Title: Axial-vector form factors of the nucleon from lattice QCD

Journal Article · Mon Dec 04 00:00:00 EST 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.114503· OSTI ID:1415378

^[1]; Jang, Yong-Chull ^[1]; Lin, Huey-Wen ^[2];

^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Michigan State Univ., East Lansing, MI (United States)

In this paper, we present results for the form factors of the isovector axial vector current in the nucleon state using large scale simulations of lattice QCD. The calculations were done using eight ensembles of gauge configurations generated by the MILC collaboration using the HISQ action with 2 + 1 + 1 dynamical flavors. These ensembles span three lattice spacings a ≈ 0.06 , 0.09, and 0.12 fm and light-quark masses corresponding to the pion masses M_π ≈ 135, 225, and 310 MeV. High-statistics estimates allow us to quantify systematic uncertainties in the extraction of G_A (Q²) and the induced pseudoscalar form factor G_P(Q²) . We perform a simultaneous extrapolation in the lattice spacing, lattice volume and light-quark masses of the axial charge radius r_A data to obtain physical estimates. Using the dipole ansatz to fit the Q² behavior we obtain r_A |_dipole = 0.49(3) fm , which corresponds to M_A = 1.39(9) GeV , and is consistent with M_A = 1.35(17) GeV obtained by the miniBooNE collaboration. The estimate obtained using the z -expansion is r_A |_{z - expansion} = 0.46(6) fm, and the combined result is r_A | combined = 0.48(4) fm. Analysis of the induced pseudoscalar form factor G_P (Q₂) yields low estimates for g*_P and g_πNN compared to their phenomenological values. To understand these, we analyze the partially conserved axial current (PCAC) relation by also calculating the pseudoscalar form factor. Lastly, we find that these low values are due to large deviations in the PCAC relation between the three form factors, and in the pion-pole dominance hypothesis.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Laboratory Directed Research and Development (LDRD) Program

Contributing Organization:: Precision Neutron Decay Matrix Elements (PNDME) Collaboration

Grant/Contract Number:: AC52-06NA25396; AC02-05CH11231; KA-1401020

OSTI ID:: 1415378

Alternate ID(s):: OSTI ID: 1411105

Report Number(s):: LA-UR-17-23678; PRVDAQ; TRN: US1800780

Journal Information:: Physical Review D, Vol. 96, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 73 works

Citation information provided by
Web of Science

References (52)

Measurement of the Rate of $ν_{e} + d \to p + p + e^{-}$ Interactions Produced by ${}^{8}B$ Solar Neutrinos at the Sudbury Neutrino Observatory Ahmad, Q. R.; Allen, R. C.; Andersen, T. C. Physical Review Letters, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevLett.87.071301	journal	July 2001
Effective noise reduction techniques for disconnected loops in Lattice QCD Bali, Gunnar S.; Collins, Sara; Schäfer, Andreas Computer Physics Communications, Vol. 181, Issue 9 https://doi.org/10.1016/j.cpc.2010.05.008	journal	September 2010
Nucleon structure with two flavors of dynamical domain-wall fermions Lin, Huey-Wen; Blum, Tom; Ohta, Shigemi Physical Review D, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevD.78.014505	journal	July 2008
Extraction of the proton radius from electron-proton scattering data Lee, Gabriel; Arrington, John R.; Hill, Richard J. Physical Review D, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevD.92.013013	journal	July 2015
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 40, Issue 10 https://doi.org/10.1088/1674-1137/40/10/100001	journal	October 2016
Lattice QCD ensembles with four flavors of highly improved staggered quarks Bazavov, A.; Bernard, C.; Komijani, J. Physical Review D, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevD.87.054505	journal	March 2013
Isovector and isoscalar tensor charges of the nucleon from lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094511	journal	November 2015
New class of variance-reduction techniques using lattice symmetries Blum, Thomas; Izubuchi, Taku; Shintani, Eigo Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094503	journal	November 2013
Axial, scalar, and tensor charges of the nucleon from $2 + 1 + 1$ -flavor Lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.054508	journal	September 2016
Nucleon isovector couplings from $N_{f} = 2$ lattice QCD Bali, Gunnar S.; Collins, Sara; Gläßle, Benjamin Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054501	journal	March 2015
Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling $g_{P}$ Andreev, V. A.; Banks, T. I.; Carey, R. M. Physical Review Letters, Vol. 110, Issue 1 https://doi.org/10.1103/PhysRevLett.110.012504	journal	January 2013
Flavor symmetry and the static potential with hypercubic blocking Hasenfratz, Anna; Knechtli, Francesco Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.034504	journal	July 2001
Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory Schindler, M. R.; Fuchs, T.; Gegelia, J. Physical Review C, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevC.75.025202	journal	February 2007
Nucleon axial form factors using $N_{f} = 2$ twisted mass fermions with a physical value of the pion mass Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K. Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.054507	journal	September 2017
Precision calculation of threshold scattering, πN scattering lengths, and the GMO sum rule Baru, V.; Hanhart, C.; Hoferichter, M. Nuclear Physics A, Vol. 872, Issue 1 https://doi.org/10.1016/j.nuclphysa.2011.09.015	journal	December 2011
Averaging correlated data Schmelling, Michael Physica Scripta, Vol. 51, Issue 6 https://doi.org/10.1088/0031-8949/51/6/002	journal	June 1995
First measurement of the muon neutrino charged current quasielastic double differential cross section Aguilar-Arevalo, A. A.; Anderson, C. E.; Bazarko, A. O. Physical Review D, Vol. 81, Issue 9 https://doi.org/10.1103/PhysRevD.81.092005	journal	May 2010
Neutrino reactions on nuclear targets Smith, R. A.; Moniz, E. J. Nuclear Physics B, Vol. 43 https://doi.org/10.1016/0550-3213(72)90040-5	journal	June 1972
Nucleon form factors with $2 + 1$ flavor dynamical domain-wall fermions Yamazaki, Takeshi; Aoki, Yasumichi; Blum, Tom Physical Review D, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevD.79.114505	journal	June 2009
Deuterium target data for precision neutrino-nucleus cross sections Meyer, Aaron S.; Betancourt, Minerba; Gran, Richard Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.113015	journal	June 2016
Probing novel scalar and tensor interactions from (ultra)cold neutrons to the LHC Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevD.85.054512	journal	March 2012
Evidence for Oscillation of Atmospheric Neutrinos Fukuda, Y.; Hayakawa, T.; Ichihara, E. Physical Review Letters, Vol. 81, Issue 8 https://doi.org/10.1103/PhysRevLett.81.1562	journal	August 1998
Improved continuum limit lattice action for QCD with wilson fermions Sheikholeslami, B.; Wohlert, R. Nuclear Physics B, Vol. 259, Issue 4 https://doi.org/10.1016/0550-3213(85)90002-1	journal	September 1985
Improved bilinears in lattice QCD with nondegenerate quarks Bhattacharya, Tanmoy; Gupta, Rajan; Lee, Weonjong Physical Review D, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevD.73.034504	journal	February 2006
Model-independent determination of the axial mass parameter in quasielastic neutrino-nucleon scattering Bhattacharya, Bhubanjyoti; Hill, Richard J.; Paz, Gil Physical Review D, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevD.84.073006	journal	October 2011
Up, down, and strange nucleon axial form factors from lattice QCD Green, Jeremy; Hasan, Nesreen; Meinel, Stefan Physical Review D, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevD.95.114502	journal	June 2017
Highly improved staggered quarks on the lattice with applications to charm physics Follana, E.; Mason, Q.; Davies, C. Physical Review D, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevD.75.054502	journal	March 2007
Isovector charges of the nucleon from $2 + 1$ -flavor QCD with clover fermions Yoon, Boram; Jang, Yong-Chull; Gupta, Rajan Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074508	journal	April 2017
Axial structure of the nucleon Bernard, Véronique; Elouadrhiri, Latifa; Meißner, Ulf-G Journal of Physics G: Nuclear and Particle Physics, Vol. 28, Issue 1 https://doi.org/10.1088/0954-3899/28/1/201	journal	November 2001
Non-perturbative improvement of the axial current in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:math> lattice QCD with Wilson fermions and tree-level improved gauge action Bulava, John; Della Morte, Michele; Heitger, Jochen Nuclear Physics B, Vol. 896 https://doi.org/10.1016/j.nuclphysb.2015.05.003	journal	July 2015
Model-independent extraction of the proton charge radius from electron scattering Hill, Richard J.; Paz, Gil Physical Review D, Vol. 82, Issue 11 https://doi.org/10.1103/PhysRevD.82.113005	journal	December 2010
Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory Ahmad, Q. R.; Allen, R. C.; Andersen, T. C. Physical Review Letters, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevLett.89.011301	journal	June 2002
Quantum Monte Carlo methods for nuclear physics Carlson, J.; Gandolfi, S.; Pederiva, F. Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.1067	journal	September 2015
Form Factors in $β$ Decay and $μ$ Capture Goldberger, M. L.; Treiman, S. B. Physical Review, Vol. 111, Issue 1 https://doi.org/10.1103/PhysRev.111.354	journal	July 1958
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005
Neutrino reactions on nuclear targets Smith, R. A.; Moniz, E. J. Nuclear Physics B, Vol. 101, Issue 2, p. 547 https://doi.org/10.1016/0550-3213(75)90612-4	journal	December 1975
Review of Particle Physics Group, Particle Data; Amsler, C.; Doser, M. Elsevier https://doi.org/10.5167/uzh-11249	text	January 2008
Isovector charges of the nucleon from 2 + 1 -flavor QCD with clover fermions Yoon, Boram; Jang, Yong-Chull; Gupta, Rajan Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-00263	text	January 2017
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-03100	text	January 2018
Review of Particle Physics Beringer, J.; Arguin, J.; Barnett, R. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/phppubdb-24149	text	January 2012
Nucleon structure with two flavors of dynamical domain-wall fermions Lin, Huey-Wen; Blum, Tom; Ohta, Shigemi arXiv https://doi.org/10.48550/arxiv.0802.0863	text	January 2008
Effective noise reduction techniques for disconnected loops in Lattice QCD Bali, Gunnar S.; Collins, Sara; Schaefer, Andreas arXiv https://doi.org/10.48550/arxiv.0910.3970	text	January 2009
Model independent extraction of the proton charge radius from electron scattering Hill, Richard J.; Paz, Gil arXiv https://doi.org/10.48550/arxiv.1008.4619	text	January 2010
Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule Baru, V.; Hanhart, C.; Hoferichter, M. arXiv https://doi.org/10.48550/arxiv.1107.5509	text	January 2011
A new class of variance reduction techniques using lattice symmetries Blum, Thomas; Izubuchi, Taku; Shintani, Eigo arXiv https://doi.org/10.48550/arxiv.1208.4349	text	January 2012
Measurement of the Formation Rate of Muonic Hydrogen Molecules Collaboration, MuCap; Andreev, V. A.; Banks, T. I. arXiv https://doi.org/10.48550/arxiv.1502.00913	text	January 2015
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
Up, down, and strange nucleon axial form factors from lattice QCD Green, Jeremy; Hasan, Nesreen; Meinel, Stefan arXiv https://doi.org/10.48550/arxiv.1703.06703	text	January 2017
Flavor Symmetry and the Static Potential with Hypercubic Blocking Hasenfratz, A.; Knechtli, F. arXiv https://doi.org/10.48550/arxiv.hep-lat/0103029	text	January 2001
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joo, Balint arXiv https://doi.org/10.48550/arxiv.hep-lat/0409003	text	January 2004
Improved bilinears in lattice QCD with non-degenerate quarks Bhattacharya, Tanmoy; Gupta, Rajan; Lee, Weonjong arXiv https://doi.org/10.48550/arxiv.hep-lat/0511014	text	January 2005
Axial structure of the nucleon Bernard, Véronique; Elouadrhiri, Latifa; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.hep-ph/0107088	text	January 2001

Cited By (14)

Nucleon axial radius and muonic hydrogen—a new analysis and review Hill, Richard J.; Kammel, Peter; Marciano, William J. Reports on Progress in Physics, Vol. 81, Issue 9 https://doi.org/10.1088/1361-6633/aac190	journal	July 2018
Neutrino-deuteron scattering: Uncertainty quantification and new $L_{1, A}$ constraints Acharya, Bijaya; Bacca, Sonia Physical Review C, Vol. 101, Issue 1 https://doi.org/10.1103/physrevc.101.015505	journal	January 2020
Nucleon axial form factor from a Bayesian neural-network analysis of neutrino-scattering data Alvarez-Ruso, Luis; Graczyk, Krzysztof M.; Saul-Sala, Eduardo Physical Review C, Vol. 99, Issue 2 https://doi.org/10.1103/physrevc.99.025204	journal	February 2019
$N^{*} (1535) \to N$ transition form-factors due to the axial current Aliev, T. M.; Barakat, T.; Şimşek, K. Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/physrevd.100.054030	journal	September 2019
Lattice QCD and neutrino-nucleus scattering Kronfeld, Andreas S.; Richards, David G.; Detmold, William The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12916-x	journal	November 2019
FLAG Review 2019 Aoki, S.; Aoki, Y.; Becirevic, D. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-00055	text	January 2019
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) Aoki, S.; Aoki, Y.; Bečirević, D. The European Physical Journal C, Vol. 80, Issue 2 https://doi.org/10.1140/epjc/s10052-019-7354-7	journal	February 2020
FLAG Review 2019 Aoki, S.; Aoki, Y.; Bečirević, D. Springer https://doi.org/10.7892/boris.141201	text	January 2020
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
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
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
Nucleon axial form factor from a Bayesian neural-network analysis of neutrino-scattering data Alvarez-Ruso, Luis; Graczyk, Krzysztof M.; Saul-Sala, Eduardo arXiv https://doi.org/10.48550/arxiv.1805.00905	text	January 2018
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

Similar Records

Axial, scalar, and tensor charges of the nucleon from

2 + 1 + 1

-flavor lattice QCD

Journal Article · Mon Sep 19 00:00:00 EDT 2016 · Physical Review D · OSTI ID:1415378

Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D.; +3 more

Isovector and isoscalar tensor charges of the nucleon from lattice QCD

Journal Article · Sun Nov 01 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1415378

Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D.; +4 more

Nucleon electromagnetic form factors in the continuum limit from (

2 + 1 + 1

)-flavor lattice QCD

Journal Article · Thu Jan 23 00:00:00 EST 2020 · Physical Review. D. · OSTI ID:1415378

Jang, Yong-Chull; Gupta, Rajan; Lin, Huey-Wen; +2 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Atomic and Nuclear Physics
Axial form factors
nucleons
lattice QCD

Title: Axial-vector form factors of the nucleon from lattice QCD

Citation Formats

References (52)

Cited By (14)

Similar Records

Related Subjects