A stochastic method for computing hadronic matrix elements

Alexandrou, Constantia; Constantinou, Martha; Dinter, Simon; Drach, Vincent; Jansen, Karl; Hadjiyiannakou, Kyriakos; Renner, Dru B.

doi:10.1140/epjc/s10052-013-2692-3

Title: A stochastic method for computing hadronic matrix elements

Journal Article · Fri Jan 24 00:00:00 EST 2014 · European Physical Journal. C, Particles and Fields

DOI:https://doi.org/10.1140/epjc/s10052-013-2692-3· OSTI ID:1117630

Alexandrou, Constantia ^[1]; Constantinou, Martha ^[2]; Dinter, Simon ^[3]; Drach, Vincent ^[3]; Jansen, Karl ^[3]; Hadjiyiannakou, Kyriakos ^[2]; Renner, Dru B. ^[4]

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)

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.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Contributing Organization:: ETM Collaboration

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1117630

Report Number(s):: JLAB-THY-13-6; DOE/OR-23177-2407; arXiv:1302.2608

Journal Information:: European Physical Journal. C, Particles and Fields, Vol. 74, Issue 1; ISSN 1434-6044

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 14 works

Citation information provided by
Web of Science

References (14)

Status and prospects for the calculation of hadron structure from lattice QCD Renner, Dru Proceedings of The XXVII International Symposium on Lattice Field Theory — PoS(LAT2009) https://doi.org/10.22323/1.091.0018	conference	June 2010
Hadron interactions Orginos, Kostas Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011) https://doi.org/10.22323/1.139.0016	conference	July 2012
Hadron physics and lattice QCD Alexandrou, Constantia 11TH CONFERENCE ON THE INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS: (CIPANP 2012), AIP Conference Proceedings https://doi.org/10.1063/1.4826707	conference	January 2013
Excited state contamination in nucleon structure calculations Green, Jeremy; Krieg, Stefan; Negele, John Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011) https://doi.org/10.22323/1.139.0157	conference	July 2012
Systematic errors in extracting nucleon properties from lattice QCD Knippschild, Bastian; Wittig, Hartmut; Capitani, Stefano Proceedings of The XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010) https://doi.org/10.22323/1.105.0147	conference	June 2011
A lattice study of nucleon structure Martinelli, G.; Sachrajda, C. T. Nuclear Physics B, Vol. 316, Issue 2 https://doi.org/10.1016/0550-3213(89)90035-7	journal	April 1989
Improved semileptonic form factor calculations in lattice QCD Evans, Richard; Bali, Gunnar; Collins, Sara Physical Review D, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevD.82.094501	journal	November 2010
Nucleon form factors and moments of generalized parton distributions using $N_{f} = 2 + 1 + 1$ twisted mass fermions Alexandrou, C.; Constantinou, M.; Dinter, S. Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014509	journal	July 2013
Review of Particle Physics Nakamura, K. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 7A https://doi.org/10.1088/0954-3899/37/7A/075021	journal	July 2010
Axial nucleon form factors from lattice QCD Alexandrou, C.; Brinet, M.; Carbonell, J. Physical Review D, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevD.83.045010	journal	February 2011
Dynamical twisted mass fermions with light quarks: simulation and analysis details Boucaud, Ph.; Dimopoulos, P.; Farchioni, F. Computer Physics Communications, Vol. 179, Issue 10 https://doi.org/10.1016/j.cpc.2008.06.013	journal	November 2008
High statistics analysis using anisotropic clover lattices. II. Three-baryon systems Beane, Silas R.; Detmold, William; Luu, Thomas C. Physical Review D, Vol. 80, Issue 7 https://doi.org/10.1103/PhysRevD.80.074501	journal	October 2009
Precision Study of Excited State Effects in Nucleon Matrix Elements Dinter, Simon; Alexandrou, Constantia; Constantinou, Martha arXiv https://doi.org/10.48550/arxiv.1108.1076	text	January 2011
The nucleon axial charge from lattice QCD with controlled errors Capitani, S.; Della Morte, M.; von Hippel, G. arXiv https://doi.org/10.48550/arxiv.1205.0180	text	January 2012

Cited By (13)

Lattice calculation of parton distributions Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent Physical Review D, Vol. 92, Issue 1 https://doi.org/10.1103/physrevd.92.014502	journal	July 2015
Axial charges of hyperons and charmed baryons using $N_{f} = 2 + 1 + 1$ twisted mass fermions Alexandrou, C.; Hadjiyiannakou, K.; Kallidonis, C. Physical Review D, Vol. 94, Issue 3 https://doi.org/10.1103/physrevd.94.034502	journal	August 2016
$π N$ and strangeness sigma terms at the physical point with chiral fermions Yang, Yi-Bo; Alexandru, Andrei; Draper, Terrence Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/physrevd.94.054503	journal	September 2016
Nucleon axial form factors using $N_{f} = 2$ twisted mass fermions with a physical value of the pion mass Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K. Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/physrevd.96.054507	journal	September 2017
A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results Cichy, Krzysztof; Constantinou, Martha Advances in High Energy Physics, Vol. 2019 https://doi.org/10.1155/2019/3036904	journal	June 2019
Updated lattice results for parton distributions Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-09401	text	January 2017
Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02720	text	January 2019
Updated lattice results for parton distributions Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/physrevd.96.014513	journal	July 2017
Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 99, Issue 11 https://doi.org/10.1103/physrevd.99.114504	journal	June 2019
Updated Lattice Results for Parton Distributions Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha arXiv https://doi.org/10.48550/arxiv.1610.03689	text	January 2016
A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results Cichy, Krzysztof; Constantinou, Martha arXiv https://doi.org/10.48550/arxiv.1811.07248	text	January 2018
Systematics in nucleon matrix element calculations Green, Jeremy Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018) https://doi.org/10.22323/1.334.0016	conference	May 2019
Axial charges of hyperons and charmed baryons using $N_f=2+1+1$ twisted mass fermions Alexandrou, C.; Hadjiyiannakou, K.; Kallidonis, Ch. arXiv https://doi.org/10.48550/arxiv.1606.01650	text	January 2016

Similar Records

An improved method for extracting matrix elements from lattice three-point functions

Conference · Thu Dec 01 00:00:00 EST 2011 · PoS(Lattice 2011) · OSTI ID:1117630

C Aubin, K Orginos

Stochastic method with low mode substitution for nucleon isovector matrix elements

Journal Article · Mon Feb 01 00:00:00 EST 2016 · Physical Review D · OSTI ID:1117630

Yang, Yi-Bo; Alexandru, Andrei; Draper, Terrence; +2 more

Improved lattice computation of proton decay matrix elements

Journal Article · Fri Jul 14 00:00:00 EDT 2017 · Physical Review D · OSTI ID:1117630

Aoki, Yasumichi; Izubuchi, Taku; Shintani, Eigo; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
nucleon matrix element
lattice QCD
stochastic estimation

Title: A stochastic method for computing hadronic matrix elements

Citation Formats

References (14)

Cited By (13)

Similar Records

Related Subjects