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:
-
- Univ. of Cyprus, Nicosia (Cyprus); The Cyprus Institute, Nicosia (Cyprus)
- Univ. of Cyprus, Nicosia (Cyprus)
- Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
- 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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 14 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Status and prospects for the calculation of hadron structure from lattice QCD
conference, June 2010
- Renner, Dru
- Proceedings of The XXVII International Symposium on Lattice Field Theory — PoS(LAT2009)
Hadron interactions
conference, July 2012
- Orginos, Kostas
- Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011)
Hadron physics and lattice QCD
conference, January 2013
- Alexandrou, Constantia
- 11TH CONFERENCE ON THE INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS: (CIPANP 2012), AIP Conference Proceedings
Excited state contamination in nucleon structure calculations
conference, July 2012
- Green, Jeremy; Krieg, Stefan; Negele, John
- Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011)
Systematic errors in extracting nucleon properties from lattice QCD
conference, June 2011
- Knippschild, Bastian; Wittig, Hartmut; Capitani, Stefano
- Proceedings of The XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010)
A lattice study of nucleon structure
journal, April 1989
- Martinelli, G.; Sachrajda, C. T.
- Nuclear Physics B, Vol. 316, Issue 2
Improved semileptonic form factor calculations in lattice QCD
journal, November 2010
- Evans, Richard; Bali, Gunnar; Collins, Sara
- Physical Review D, Vol. 82, Issue 9
Nucleon form factors and moments of generalized parton distributions using twisted mass fermions
journal, July 2013
- Alexandrou, C.; Constantinou, M.; Dinter, S.
- Physical Review D, Vol. 88, Issue 1
Review of Particle Physics
journal, July 2010
- Nakamura, K.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 7A
Axial nucleon form factors from lattice QCD
journal, February 2011
- Alexandrou, C.; Brinet, M.; Carbonell, J.
- Physical Review D, Vol. 83, Issue 4
Dynamical twisted mass fermions with light quarks: simulation and analysis details
journal, November 2008
- Boucaud, Ph.; Dimopoulos, P.; Farchioni, F.
- Computer Physics Communications, Vol. 179, Issue 10
High statistics analysis using anisotropic clover lattices. II. Three-baryon systems
journal, October 2009
- Beane, Silas R.; Detmold, William; Luu, Thomas C.
- Physical Review D, Vol. 80, Issue 7
A lattice study of nucleon structure
journal, April 1989
- Martinelli, G.; Sachrajda, C. T.
- Nuclear Physics B, Vol. 316, Issue 2
Precision Study of Excited State Effects in Nucleon Matrix Elements
text, January 2011
- Dinter, Simon; Alexandrou, Constantia; Constantinou, Martha
- arXiv
The nucleon axial charge from lattice QCD with controlled errors
text, January 2012
- Capitani, S.; Della Morte, M.; von Hippel, G.
- arXiv
Works referencing / citing this record:
Lattice calculation of parton distributions
journal, July 2015
- Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent
- Physical Review D, Vol. 92, Issue 1
Axial charges of hyperons and charmed baryons using twisted mass fermions
journal, August 2016
- Alexandrou, C.; Hadjiyiannakou, K.; Kallidonis, C.
- Physical Review D, Vol. 94, Issue 3
and strangeness sigma terms at the physical point with chiral fermions
journal, September 2016
- Yang, Yi-Bo; Alexandru, Andrei; Draper, Terrence
- Physical Review D, Vol. 94, Issue 5
Nucleon axial form factors using twisted mass fermions with a physical value of the pion mass
journal, September 2017
- Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K.
- Physical Review D, Vol. 96, Issue 5
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
Updated lattice results for parton distributions
text, January 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
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
Updated lattice results for parton distributions
journal, July 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 96, Issue 1
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
Updated Lattice Results for Parton Distributions
text, January 2016
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- arXiv
A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
text, January 2018
- Cichy, Krzysztof; Constantinou, Martha
- arXiv
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
Systematics in nucleon matrix element calculations
conference, May 2019
- Green, Jeremy
- Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
Axial charges of hyperons and charmed baryons using $N_f=2+1+1$ twisted mass fermions
text, January 2016
- Alexandrou, C.; Hadjiyiannakou, K.; Kallidonis, Ch.
- arXiv