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Title: Axial, scalar, and tensor charges of the nucleon from 2 + 1 + 1 -flavor lattice QCD

Abstract

Here, we present results for the isovector axial, scalar, and tensor charges gu–dA, gu–dS, and gu–dT of the nucleon needed to probe the Standard Model and novel physics. The axial charge is a fundamental parameter describing the weak interactions of nucleons. The scalar and tensor charges probe novel interactions at the TeV scale in neutron and nuclear β-decays, and the flavor-diagonal tensor charges guT, gdT, and gsT are needed to quantify the contribution of the quark electric dipole moment (EDM) to the neutron EDM. The lattice-QCD calculations were done using nine ensembles of gauge configurations generated by the MILC Collaboration using the highly improved staggered quarks 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 315 MeV. High-statistics estimates on five ensembles using the all-mode-averaging method allow us to quantify all systematic uncertainties and perform a simultaneous extrapolation in the lattice spacing, lattice volume, and light-quark masses for the connected contributions. Our final estimates, in the ¯MS scheme at 2 GeV, of the isovector charges are gu–dA = 1.195(33)(20), gu–dS = 0.97(12)(6), and gu–dT = 0.987(51)(20). The first errormore » includes statistical and all systematic uncertainties except that due to the extrapolation Ansatz, which is given by the second error estimate. Combining our estimate for gu–dS with the difference of light quarks masses (md–mu)QCD = 2.67(35) MeV given by the Flavor Lattice Average Group, we obtain (MN – MP)QCD = 2.59(49) MeV. Estimates of the connected part of the flavor-diagonal tensor charges of the proton are guT = 0.792(42) and gdT = –0.194(14). Combining our new estimates with precision low-energy experiments, we present updated constraints on novel scalar and tensor interactions, εS,T, at the TeV scale.« less

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2]; ORCiD logo [1];  [3]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Washington, Seattle, WA (United States)
  3. Univ. of California, Berkeley, CA (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
Contributing Org.:
Precision Neutron Decay Matrix Elements (PNDME) Collaboration
OSTI Identifier:
1343698
Alternate Identifier(s):
OSTI ID: 1328532
Report Number(s):
LA-UR-16-20522
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1701629
Grant/Contract Number:  
AC52-06NA25396; KA-1401020; AC02-05CH11231; FG02-97ER4014
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 5; 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

Citation Formats

Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Cohen, Saul D., Gupta, Rajan, Lin, Huey -Wen, and Yoon, Boram. Axial, scalar, and tensor charges of the nucleon from 2+1+1-flavor lattice QCD. United States: N. p., 2016. Web. https://doi.org/10.1103/PhysRevD.94.054508.
Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Cohen, Saul D., Gupta, Rajan, Lin, Huey -Wen, & Yoon, Boram. Axial, scalar, and tensor charges of the nucleon from 2+1+1-flavor lattice QCD. United States. https://doi.org/10.1103/PhysRevD.94.054508
Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Cohen, Saul D., Gupta, Rajan, Lin, Huey -Wen, and Yoon, Boram. Mon . "Axial, scalar, and tensor charges of the nucleon from 2+1+1-flavor lattice QCD". United States. https://doi.org/10.1103/PhysRevD.94.054508. https://www.osti.gov/servlets/purl/1343698.
@article{osti_1343698,
title = {Axial, scalar, and tensor charges of the nucleon from 2+1+1-flavor lattice QCD},
author = {Bhattacharya, Tanmoy and Cirigliano, Vincenzo and Cohen, Saul D. and Gupta, Rajan and Lin, Huey -Wen and Yoon, Boram},
abstractNote = {Here, we present results for the isovector axial, scalar, and tensor charges gu–dA, gu–dS, and gu–dT of the nucleon needed to probe the Standard Model and novel physics. The axial charge is a fundamental parameter describing the weak interactions of nucleons. The scalar and tensor charges probe novel interactions at the TeV scale in neutron and nuclear β-decays, and the flavor-diagonal tensor charges guT, gdT, and gsT are needed to quantify the contribution of the quark electric dipole moment (EDM) to the neutron EDM. The lattice-QCD calculations were done using nine ensembles of gauge configurations generated by the MILC Collaboration using the highly improved staggered quarks 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 315 MeV. High-statistics estimates on five ensembles using the all-mode-averaging method allow us to quantify all systematic uncertainties and perform a simultaneous extrapolation in the lattice spacing, lattice volume, and light-quark masses for the connected contributions. Our final estimates, in the ¯MS scheme at 2 GeV, of the isovector charges are gu–dA = 1.195(33)(20), gu–dS = 0.97(12)(6), and gu–dT = 0.987(51)(20). The first error includes statistical and all systematic uncertainties except that due to the extrapolation Ansatz, which is given by the second error estimate. Combining our estimate for gu–dS with the difference of light quarks masses (md–mu)QCD = 2.67(35) MeV given by the Flavor Lattice Average Group, we obtain (MN – MP)QCD = 2.59(49) MeV. Estimates of the connected part of the flavor-diagonal tensor charges of the proton are guT = 0.792(42) and gdT = –0.194(14). Combining our new estimates with precision low-energy experiments, we present updated constraints on novel scalar and tensor interactions, εS,T, at the TeV scale.},
doi = {10.1103/PhysRevD.94.054508},
journal = {Physical Review D},
number = 5,
volume = 94,
place = {United States},
year = {2016},
month = {9}
}

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Works referenced in this record:

Physics opportunities with the 12 GeV upgrade at Jefferson Lab
journal, December 2012


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

  • Bali, Gunnar S.; Collins, Sara; Schäfer, Andreas
  • Computer Physics Communications, Vol. 181, Issue 9
  • DOI: 10.1016/j.cpc.2010.05.008

Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution
journal, January 2016


Nonrenormalization Theorem for the Strangeness-Violating Vector Currents
journal, August 1964


New Precise Measurement of the Pion Weak Form Factors in π + e + ν γ Decay
journal, July 2009


Nucleon isovector structure functions in ( 2 + 1 )-flavor QCD with domain wall fermions
journal, July 2010


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


Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
journal, July 2009


Simultaneous extraction of transversity and Collins functions from new semi-inclusive deep inelastic scattering and e + e data
journal, May 2013


Review of Particle Physics
journal, August 2014


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


Nucleon isovector couplings from N f = 2 lattice QCD
journal, March 2015


QCD corrections to quark (chromo)electric dipole moments in high-scale supersymmetry
journal, December 2013

  • Fuyuto, Kaori; Hisano, Junji; Nagata, Natsumi
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)010

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


Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator
journal, November 2010


Non-standard charged current interactions: beta decays versus the LHC
journal, February 2013

  • Cirigliano, Vincenzo; González-Alonso, Martín; Graesser, Michael L.
  • Journal of High Energy Physics, Vol. 2013, Issue 2
  • DOI: 10.1007/JHEP02(2013)046

Nucleon axial charge and pion decay constant from two-flavor lattice QCD
journal, May 2014


The measurement of the beta asymmetry in the decay of polarized neutrons
journal, January 1997


Erratum: Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass [Phys. Rev. D 92 , 114513 (2015)]
journal, February 2016


Corrigendum: Corrected value of the beta-emission asymmetry in the decay of polarized neutrons measured in 1990
journal, October 1997


Calculation of hyperon axial couplings from lattice QCD
journal, February 2009


Is the Unitarity of the Quark-Mixing CKM Matrix Violated in Neutron β -Decay?
journal, May 2002


Chiral Perturbation Theory
journal, November 2007


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


Chiral Dynamics in Nucleons and Nuclei
journal, June 1995

  • Bernard, V.; Kaiser, N.; MeißNer, Ulf-G.
  • International Journal of Modern Physics E, Vol. 04, Issue 02
  • DOI: 10.1142/S0218301395000092

Determination of the Weak Axial Vector Coupling λ = g A / g V from a Measurement of the β -Asymmetry Parameter A in Neutron Beta Decay
journal, April 2013


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


Isospin Breaking in the Nucleon Mass and the Sensitivity of β Decays to New Physics
journal, January 2014


Axial coupling constant of the nucleon for two flavors of dynamical quarks in finite and infinite volume
journal, November 2006


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


Experimental value of G A/GV from a measurement of both P-odd correlations in free-neutron decay
journal, November 2001

  • Mostovoi, Yu. A.; Kuznetsov, I. A.; Solovei, V. A.
  • Physics of Atomic Nuclei, Vol. 64, Issue 11
  • DOI: 10.1134/1.1423745

Nucleon tensor charges and electric dipole moments
journal, April 2015


First extraction of valence transversities in a collinear framework
journal, March 2013

  • Bacchetta, Alessandro; Courtoy, A.; Radici, Marco
  • Journal of High Energy Physics, Vol. 2013, Issue 3
  • DOI: 10.1007/JHEP03(2013)119

Beta decay beyond the standard model
journal, January 2001


Finite volume effects for nucleon and heavy meson masses
journal, August 2010


A general method for non-perturbative renormalization of lattice operators
journal, July 1995


Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
journal, November 2015


Determination of the Axial-Vector Weak Coupling Constant with Ultracold Neutrons
journal, October 2010


Search for new particles in events with one lepton and missing transverse momentum in pp collisions at s $$ \sqrt{s} $$ = 8 TeV with the ATLAS detector
journal, September 2014

  • Aad, G.; Abbott, B.; Abdallah, J.
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)037

Renormalization constants for scalar, pseudoscalar, and tensor currents
journal, June 1975


The nucleon axial-vector coupling beyond one loop
journal, August 2006


Polarized and unpolarized nucleon structure functions from lattice QCD
journal, March 1996


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


Weak interaction studies with [sup 6]He
conference, January 2013

  • Knecht, A.; Alexander, Z. T.; Bagdasarova, Y.
  • 11TH CONFERENCE ON THE INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS: (CIPANP 2012), AIP Conference Proceedings
  • DOI: 10.1063/1.4826859

Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
journal, December 2015


Precision measurement of the neutron β -decay asymmetry
journal, March 2013


Beta-Decay Asymmetry of the Neutron and g A g V
journal, March 1986


Nucleon Axial Charge in ( 2 + 1 )-Flavor Dynamical-Lattice QCD with Domain-Wall Fermions
journal, April 2008


Isospin breaking and the precise determination of Vud
journal, May 1990


A new look at the statistical model identification
journal, December 1974


Nab: Measurement principles, apparatus and uncertainties
journal, December 2009

  • Počanić, Dinko; Alarcon, R.; Alonzi, L. P.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 611, Issue 2-3
  • DOI: 10.1016/j.nima.2009.07.065

Nucleon structure from Lattice QCD using a nearly physical pion mass
journal, June 2014


RI′/SMOM scheme amplitudes for quark currents at two loops
journal, March 2011


Improved Experimental Limit on the Electric Dipole Moment of the Neutron
journal, September 2006


Electric dipole moments as probes of new physics
journal, July 2005


Rationale for UV-filtered clover fermions
journal, November 2006


Three loop tensor current anomalous dimension in QCD
journal, August 2000


Nucleon structure from mixed action calculations using 2 + 1 flavors of asqtad sea and domain wall valence fermions
journal, November 2010


Nucleon axial charge in lattice QCD with controlled errors
journal, October 2012


Nucleon scalar and tensor charges from lattice QCD with light Wilson quarks
journal, December 2012


The nucleon electric dipole form factor from dimension-six time-reversal violation
journal, January 2011


Controlling excited-state contamination in nucleon matrix elements
journal, June 2016


Chiral structure of the nucleon
journal, December 1992


Beta-Decay Asymmetry of the Neutron and g A g V
journal, September 1986


Form factors in the radiative pion decay
journal, September 2007


A clean, bright, and versatile source of neutron decay products
journal, November 2008

  • Dubbers, D.; Abele, H.; Baeßler, S.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 596, Issue 2
  • DOI: 10.1016/j.nima.2008.07.157

The Chroma Software System for Lattice QCD
journal, March 2005


    Works referencing / citing this record:

    A per-cent-level determination of the nucleon axial coupling from quantum chromodynamics
    journal, May 2018


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

    • Hill, Richard J.; Kammel, Peter; Marciano, William J.
    • Reports on Progress in Physics, Vol. 81, Issue 9
    • DOI: 10.1088/1361-6633/aac190

    New result for the neutron β -asymmetry parameter A 0 from UCNA
    journal, March 2018


    Machine learning estimators for lattice QCD observables
    journal, July 2019


    Nucleon axial form factor from generalized parton distributions
    journal, July 2019


    Nucleon isovector charges and twist-2 matrix elements with N f = 2 + 1 dynamical Wilson quarks
    journal, August 2019


    Lattice finite-volume dependence of the nucleon parton distributions
    journal, October 2019


    Nucleon electromagnetic form factors in the continuum limit from ( 2 + 1 + 1 )-flavor lattice QCD
    journal, January 2020


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


    Pion distribution amplitude from lattice QCD
    journal, May 2017


    Lattice calculation of nucleon isovector axial charge with improved currents
    journal, August 2017


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


    Axial-vector form factors of the nucleon from lattice QCD
    journal, December 2017


    Parton distribution function with nonperturbative renormalization from lattice QCD
    journal, January 2018


    Experimental constraint on quark electric dipole moments
    journal, April 2018


    Isovector charges of the nucleon from 2 + 1 + 1 -flavor lattice QCD
    journal, August 2018


    Proton tensor charges from a Poincaré-covariant Faddeev equation
    journal, September 2018


    Nucleon charges with dynamical overlap fermions
    journal, September 2018


    Nucleon form factors on a large volume lattice near the physical point in 2 + 1 flavor QCD
    journal, October 2018


    Nucleon form factors and root-mean-square radii on a ( 10.8 fm ) 4 lattice at the physical point
    journal, January 2019


    Electric dipole moment of Hg 199 atom from P , C P -odd electron-nucleon interaction
    journal, April 2019


    Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
    journal, June 2019


    First Monte Carlo Global Analysis of Nucleon Transversity with Lattice QCD Constraints
    journal, April 2018


    Electric dipole moments of atoms, molecules, nuclei, and particles
    journal, January 2019


    Hadrons and nuclei
    journal, November 2019

    • Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
    • The European Physical Journal A, Vol. 55, Issue 11
    • DOI: 10.1140/epja/i2019-12902-4

    Lattice QCD and neutrino-nucleus scattering
    journal, November 2019

    • Kronfeld, Andreas S.; Richards, David G.; Detmold, William
    • The European Physical Journal A, Vol. 55, Issue 11
    • DOI: 10.1140/epja/i2019-12916-x

    Isovector axial form factors of the nucleon in two-flavor lattice QCD
    journal, January 2019

    • Capitani, S.; Della Morte, M.; Djukanovic, D.
    • International Journal of Modern Physics A, Vol. 34, Issue 02
    • DOI: 10.1142/s0217751x1950009x

    Nucleon scalar and tensor charges using lattice QCD simulations at the physical value of the pion mass
    text, January 2017

    • Alexandrou, C.; Constantinou, M.; Dimopoulos, P.
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2017-06705

    Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations
    text, January 2017

    • Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K.
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2018-01264

    FLAG Review 2019
    text, January 2019


    Value of the Axial-Vector Coupling Strength in β and ββ Decays: A Review
    journal, November 2017