skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Controlling excited-state contamination in nucleon matrix elements

Abstract

We present a detailed analysis of methods to reduce statistical errors and excited-state contamination in the calculation of matrix elements of quark bilinear operators in nucleon states. All the calculations were done on a 2+1-flavor ensemble with lattices of size 323 × 64 generated using the rational hybrid Monte Carlo algorithm at a = 0.081 fm and with Mπ = 312 MeV. The statistical precision of the data is improved using the all-mode-averaging method. We compare two methods for reducing excited-state contamination: a variational analysis and a 2-state fit to data at multiple values of the source-sink separation tsep. We show that both methods can be tuned to significantly reduce excited-state contamination and discuss their relative advantages and cost effectiveness. As a result, a detailed analysis of the size of source smearing used in the calculation of quark propagators and the range of values of tsep needed to demonstrate convergence of the isovector charges of the nucleon to the tsep → ∞ estimates is presented.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [2];  [3];  [4];  [5];  [6];  [7];  [6];  [4];  [4];  [4]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. New Mexico State Univ., Las Cruces, NM (United States)
  3. Johannes Gutenberg-Univ. Mainz, Mainz (Germany)
  4. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  5. Univ. of California, Berkeley, CA (United States)
  6. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  7. College of William and Mary, Williamsburg, VA (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
Contributing Org.:
Nucleon Matrix Elements (NME) Collaboration
OSTI Identifier:
1343699
Alternate Identifier(s):
OSTI ID: 1256150
Report Number(s):
LA-UR-16-20524
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
AC52-06NA25396; AC05-00OR22725; KA-1401020; AC05-06OR23177; SC0011090; FG02-96ER40965
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; 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

Citation Formats

Yoon, Boram, Gupta, Rajan, Bhattacharya, Tanmoy, Engelhardt, Michael, Green, Jeremy, Joo, Balint, Lin, Huey -Wen, Negele, John, Orginos, Kostas, Pochinsky, Andrew, Richards, David, Syritsyn, Sergey, and Winter, Frank. Controlling excited-state contamination in nucleon matrix elements. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.114506.
Yoon, Boram, Gupta, Rajan, Bhattacharya, Tanmoy, Engelhardt, Michael, Green, Jeremy, Joo, Balint, Lin, Huey -Wen, Negele, John, Orginos, Kostas, Pochinsky, Andrew, Richards, David, Syritsyn, Sergey, & Winter, Frank. Controlling excited-state contamination in nucleon matrix elements. United States. doi:10.1103/PhysRevD.93.114506.
Yoon, Boram, Gupta, Rajan, Bhattacharya, Tanmoy, Engelhardt, Michael, Green, Jeremy, Joo, Balint, Lin, Huey -Wen, Negele, John, Orginos, Kostas, Pochinsky, Andrew, Richards, David, Syritsyn, Sergey, and Winter, Frank. Wed . "Controlling excited-state contamination in nucleon matrix elements". United States. doi:10.1103/PhysRevD.93.114506. https://www.osti.gov/servlets/purl/1343699.
@article{osti_1343699,
title = {Controlling excited-state contamination in nucleon matrix elements},
author = {Yoon, Boram and Gupta, Rajan and Bhattacharya, Tanmoy and Engelhardt, Michael and Green, Jeremy and Joo, Balint and Lin, Huey -Wen and Negele, John and Orginos, Kostas and Pochinsky, Andrew and Richards, David and Syritsyn, Sergey and Winter, Frank},
abstractNote = {We present a detailed analysis of methods to reduce statistical errors and excited-state contamination in the calculation of matrix elements of quark bilinear operators in nucleon states. All the calculations were done on a 2+1-flavor ensemble with lattices of size 323 × 64 generated using the rational hybrid Monte Carlo algorithm at a = 0.081 fm and with Mπ = 312 MeV. The statistical precision of the data is improved using the all-mode-averaging method. We compare two methods for reducing excited-state contamination: a variational analysis and a 2-state fit to data at multiple values of the source-sink separation tsep. We show that both methods can be tuned to significantly reduce excited-state contamination and discuss their relative advantages and cost effectiveness. As a result, a detailed analysis of the size of source smearing used in the calculation of quark propagators and the range of values of tsep needed to demonstrate convergence of the isovector charges of the nucleon to the tsep → ∞ estimates is presented.},
doi = {10.1103/PhysRevD.93.114506},
journal = {Physical Review D},
number = 11,
volume = 93,
place = {United States},
year = {2016},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Hadron structure from lattice QCD
conference, January 2016

  • Green, Jeremy
  • XITH CONFERENCE ON QUARK CONFINEMENT AND HADRON SPECTRUM, AIP Conference Proceedings
  • DOI: 10.1063/1.4938624

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


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


Chiral Perturbation Theory
journal, November 2007


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


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


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


Analytic smearing of SU ( 3 ) link variables in lattice QCD
journal, March 2004


First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
journal, February 2009


Excited state nucleon spectrum with two flavors of dynamical fermions
journal, February 2009


Variational approach to the calculation of <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>g</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:msub></mml:math>
journal, June 2013


Monte Carlo estimates of the mass gap of the O(2) and O(3) spin models in 1+1 dimensions
journal, May 1982


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


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


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


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


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


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


Nucleon electromagnetic form factors in two-flavor QCD
journal, September 2015


The Chroma Software System for Lattice QCD
journal, March 2005


    Works referencing / citing this record:

    Excited-state effects in nucleon structure on the lattice using hybrid interpolators
    journal, October 2019


    Excited-state effects in nucleon structure on the lattice using hybrid interpolators
    journal, October 2019