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Title: A stochastic method for computing hadronic matrix elements

Abstract

In this study, we present a stochastic method for the calculation of baryon 3-point functions which is an alternative to the typically used sequential method offering more versatility. We analyze the scaling of the error of the stochastically evaluated 3-point function with the lattice volume and find a favorable signal to noise ratio suggesting that the stochastic method can be extended to large volumes providing an efficient approach to compute hadronic matrix elements and form factors.

Authors:
 [1];  [2];  [3];  [3];  [3];  [2];  [4]
  1. Univ. of Cyprus, Nicosia (Cyprus); The Cyprus Institute, Nicosia (Cyprus)
  2. Univ. of Cyprus, Nicosia (Cyprus)
  3. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  4. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
Contributing Org.:
ETM Collaboration
OSTI Identifier:
1117630
Report Number(s):
JLAB-THY-13-6; DOE/OR-23177-2407
Journal ID: ISSN 1434-6044; arXiv:1302.2608
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 74; Journal Issue: 1; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; nucleon matrix element; lattice QCD; stochastic estimation

Citation Formats

Alexandrou, Constantia, Constantinou, Martha, Dinter, Simon, Drach, Vincent, Jansen, Karl, Hadjiyiannakou, Kyriakos, and Renner, Dru B. A stochastic method for computing hadronic matrix elements. United States: N. p., 2014. Web. doi:10.1140/epjc/s10052-013-2692-3.
Alexandrou, Constantia, Constantinou, Martha, Dinter, Simon, Drach, Vincent, Jansen, Karl, Hadjiyiannakou, Kyriakos, & Renner, Dru B. A stochastic method for computing hadronic matrix elements. United States. https://doi.org/10.1140/epjc/s10052-013-2692-3
Alexandrou, Constantia, Constantinou, Martha, Dinter, Simon, Drach, Vincent, Jansen, Karl, Hadjiyiannakou, Kyriakos, and Renner, Dru B. Fri . "A stochastic method for computing hadronic matrix elements". United States. https://doi.org/10.1140/epjc/s10052-013-2692-3. https://www.osti.gov/servlets/purl/1117630.
@article{osti_1117630,
title = {A stochastic method for computing hadronic matrix elements},
author = {Alexandrou, Constantia and Constantinou, Martha and Dinter, Simon and Drach, Vincent and Jansen, Karl and Hadjiyiannakou, Kyriakos and Renner, Dru B.},
abstractNote = {In this study, we present a stochastic method for the calculation of baryon 3-point functions which is an alternative to the typically used sequential method offering more versatility. We analyze the scaling of the error of the stochastically evaluated 3-point function with the lattice volume and find a favorable signal to noise ratio suggesting that the stochastic method can be extended to large volumes providing an efficient approach to compute hadronic matrix elements and form factors.},
doi = {10.1140/epjc/s10052-013-2692-3},
journal = {European Physical Journal. C, Particles and Fields},
number = 1,
volume = 74,
place = {United States},
year = {Fri Jan 24 00:00:00 EST 2014},
month = {Fri Jan 24 00:00:00 EST 2014}
}

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Cited by: 14 works
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Works referenced in this record:

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Works referencing / citing this record:

Lattice calculation of parton distributions
journal, July 2015


Axial charges of hyperons and charmed baryons using N f = 2 + 1 + 1 twisted mass fermions
journal, August 2016


π N and strangeness sigma terms at the physical point with chiral fermions
journal, September 2016


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


A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results
journal, June 2019

  • Cichy, Krzysztof; Constantinou, Martha
  • Advances in High Energy Physics, Vol. 2019
  • DOI: 10.1155/2019/3036904

Updated lattice results for parton distributions
text, January 2017

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-09401

Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
text, January 2019

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-02720

Updated lattice results for parton distributions
journal, July 2017

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 96, Issue 1
  • DOI: 10.1103/physrevd.96.014513

Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
journal, June 2019

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 99, Issue 11
  • DOI: 10.1103/physrevd.99.114504

Updated Lattice Results for Parton Distributions
text, January 2016


A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results
journal, June 2019

  • Cichy, Krzysztof; Constantinou, Martha
  • Advances in High Energy Physics, Vol. 2019
  • DOI: 10.1155/2019/3036904

Systematics in nucleon matrix element calculations
conference, May 2019

  • Green, Jeremy
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  • DOI: 10.22323/1.334.0016

Axial charges of hyperons and charmed baryons using $N_f=2+1+1$ twisted mass fermions
text, January 2016