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:
-
[1];
[1];
[1];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- New Mexico State Univ., Las Cruces, NM (United States)
- Johannes Gutenberg-Univ. Mainz, Mainz (Germany)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Univ. of California, Berkeley, CA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- 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. https://doi.org/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. https://doi.org/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 = {Wed Jun 08 00:00:00 EDT 2016},
month = {Wed Jun 08 00:00:00 EDT 2016}
}
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