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

Abstract

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 formmore »« less

Authors:

^[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)

Publication Date:: 2017-12-04

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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

Contributing Org.:: Precision Neutron Decay Matrix Elements (PNDME) Collaboration

OSTI Identifier:: 1415378

Alternate Identifier(s):: OSTI ID: 1411105

Report Number(s):: LA-UR-17-23678
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1800780

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

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 96; Journal Issue: 11; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

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

Citation Formats


                    Gupta, Rajan, Jang, Yong-Chull, Lin, Huey-Wen, Yoon, Boram, and Bhattacharya, Tanmoy. Axial-vector form factors of the nucleon from lattice QCD.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.96.114503.

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                    Gupta, Rajan, Jang, Yong-Chull, Lin, Huey-Wen, Yoon, Boram, & Bhattacharya, Tanmoy. Axial-vector form factors of the nucleon from lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.96.114503

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                    Gupta, Rajan, Jang, Yong-Chull, Lin, Huey-Wen, Yoon, Boram, and Bhattacharya, Tanmoy. Mon .  
"Axial-vector form factors of the nucleon from lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.96.114503.  https://www.osti.gov/servlets/purl/1415378.

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@article{osti_1415378,

  title        = {Axial-vector form factors of the nucleon from lattice QCD},

  author       = {Gupta, Rajan and Jang, Yong-Chull and Lin, Huey-Wen and Yoon, Boram and Bhattacharya, Tanmoy},

  abstractNote = {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 Mπ ≈ 135, 225, and 310 MeV. High-statistics estimates allow us to quantify systematic uncertainties in the extraction of GA (Q2) and the induced pseudoscalar form factor GP(Q2) . We perform a simultaneous extrapolation in the lattice spacing, lattice volume and light-quark masses of the axial charge radius rA data to obtain physical estimates. Using the dipole ansatz to fit the Q2 behavior we obtain rA |dipole = 0.49(3) fm , which corresponds to MA = 1.39(9) GeV , and is consistent with MA = 1.35(17) GeV obtained by the miniBooNE collaboration. The estimate obtained using the z -expansion is rA |z - expansion = 0.46(6) fm, and the combined result is rA | combined = 0.48(4) fm. Analysis of the induced pseudoscalar form factor GP (Q2) yields low estimates for g*P and gπNN 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.},

  doi          = {10.1103/PhysRevD.96.114503},

  journal      = {Physical Review D},

  number       = 11,

  volume       = 96,

  place        = {United States},

  year         = {2017},

  month        = {12}

}

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Nucleon form factors with 2+1 flavor dynamical domain-wall fermions

Journal Article Yamazaki, Takeshi ; Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 ; Aoki, Yasumichi ; ... - Physical Review. D, Particles Fields

We report our numerical lattice QCD calculations of the isovector nucleon form factors for the vector and axial-vector currents: the vector, induced tensor, axial-vector, and induced pseudoscalar form factors. The calculation is carried out with the gauge configurations generated with N{sub f}=2+1 dynamical domain-wall fermions and Iwasaki gauge actions at {beta}=2.13, corresponding to a cutoff a{sup -1}=1.73 GeV, and a spatial volume of (2.7 fm){sup 3}. The up and down-quark masses are varied so the pion mass lies between 0.33 and 0.67 GeV while the strange quark mass is about 12% heavier than the physical one. We calculate the formmore »« less
https://doi.org/10.1103/PHYSREVD.79.114505

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

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Nucleon structure with two flavors of dynamical domain-wall fermions text, January 2008

Effective noise reduction techniques for disconnected loops in Lattice QCD text, January 2009

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Flavor Symmetry and the Static Potential with Hypercubic Blocking text, January 2001

The Chroma Software System for Lattice QCD text, January 2004

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Axial structure of the nucleon text, January 2001

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Lattice QCD and neutrino-nucleus scattering journal, November 2019

FLAG Review 2019 text, January 2019

FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) journal, February 2020

FLAG Review 2019 text, January 2020

FLAG Review 2019 text, January 2020

Iso-vector axial form factors of the nucleon in two-flavour lattice QCD text, January 2017

Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review text, January 2017

Nucleon axial form factor from a Bayesian neural-network analysis of neutrino-scattering data text, January 2018

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Measurement of the Rate of $ν_{e} + d \to p + p + e^{-}$ Interactions Produced by ${}^{8}B$ Solar Neutrinos at the Sudbury Neutrino Observatory
journal, July 2001

Effective noise reduction techniques for disconnected loops in Lattice QCD
journal, September 2010

Nucleon structure with two flavors of dynamical domain-wall fermions
journal, July 2008

Extraction of the proton radius from electron-proton scattering data
journal, July 2015

Review of Particle Physics
journal, October 2016

Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013

Isovector and isoscalar tensor charges of the nucleon from lattice QCD
journal, November 2015

New class of variance-reduction techniques using lattice symmetries
journal, November 2013

Axial, scalar, and tensor charges of the nucleon from $2 + 1 + 1$ -flavor Lattice QCD
journal, September 2016

Nucleon isovector couplings from $N_{f} = 2$ lattice QCD
journal, March 2015

Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling $g_{P}$
journal, January 2013

Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001

Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
journal, February 2007

Nucleon axial form factors using $N_{f} = 2$ twisted mass fermions with a physical value of the pion mass
journal, September 2017

Precision calculation of threshold scattering, πN scattering lengths, and the GMO sum rule
journal, December 2011

Averaging correlated data
journal, June 1995

First measurement of the muon neutrino charged current quasielastic double differential cross section
journal, May 2010

Neutrino reactions on nuclear targets
journal, June 1972

Nucleon form factors with $2 + 1$ flavor dynamical domain-wall fermions
journal, June 2009

Deuterium target data for precision neutrino-nucleus cross sections
journal, June 2016

Probing novel scalar and tensor interactions from (ultra)cold neutrons to the LHC
journal, March 2012

Evidence for Oscillation of Atmospheric Neutrinos
journal, August 1998

Improved continuum limit lattice action for QCD with wilson fermions
journal, September 1985

Measurement of the formation rate of muonic hydrogen molecules
journal, May 2015

Improved bilinears in lattice QCD with nondegenerate quarks
journal, February 2006

Model-independent determination of the axial mass parameter in quasielastic neutrino-nucleon scattering
journal, October 2011

Up, down, and strange nucleon axial form factors from lattice QCD
journal, June 2017

Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007

Isovector charges of the nucleon from $2 + 1$ -flavor QCD with clover fermions
journal, April 2017

Axial structure of the nucleon
journal, November 2001

Model-independent extraction of the proton charge radius from electron scattering
journal, December 2010

Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
journal, June 2002

Quantum Monte Carlo methods for nuclear physics
journal, September 2015

Form Factors in $β$ Decay and $μ$ Capture
journal, July 1958

The Chroma Software System for Lattice QCD
journal, March 2005

Review of Particle Physics
text, January 2008

Isovector charges of the nucleon from 2 + 1 -flavor QCD with clover fermions
text, January 2017

Review of Particle Physics
text, January 2018

Review of Particle Physics
text, January 2012

Nucleon structure with two flavors of dynamical domain-wall fermions
text, January 2008

Effective noise reduction techniques for disconnected loops in Lattice QCD
text, January 2009

Model independent extraction of the proton charge radius from electron scattering
text, January 2010

Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
text, January 2011

A new class of variance reduction techniques using lattice symmetries
text, January 2012

Measurement of the Formation Rate of Muonic Hydrogen Molecules
text, January 2015

Deuterium target data for precision neutrino-nucleus cross sections
text, January 2016

Up, down, and strange nucleon axial form factors from lattice QCD
text, January 2017

Flavor Symmetry and the Static Potential with Hypercubic Blocking
text, January 2001

The Chroma Software System for Lattice QCD
text, January 2004

Improved bilinears in lattice QCD with non-degenerate quarks
text, January 2005

Axial structure of the nucleon
text, January 2001

Nucleon axial radius and muonic hydrogen—a new analysis and review
journal, July 2018

Neutrino-deuteron scattering: Uncertainty quantification and new $L_{1, A}$ constraints
journal, January 2020

$N^{*} (1535) \to N$ transition form-factors due to the axial current
journal, September 2019

$N π$ -state contamination in lattice calculations of the nucleon pseudoscalar form factor
journal, September 2019

Lattice QCD and neutrino-nucleus scattering
journal, November 2019

FLAG Review 2019
text, January 2019

FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)
journal, February 2020

FLAG Review 2019
text, January 2020

FLAG Review 2019
text, January 2020

Iso-vector axial form factors of the nucleon in two-flavour lattice QCD
text, January 2017

Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review
text, January 2017

Nucleon axial form factor from a Bayesian neural-network analysis of neutrino-scattering data
text, January 2018

Lattice QCD and Neutrino-Nucleus Scattering
text, January 2019

Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation
text, January 2019