Computing the hadronic vacuum polarization function by analytic continuation

Feng, Xu; Hashimoto, Shoji; Hotzel, Grit; Jansen, Karl; Petschlies, Marcus; Renner, Dru B.

doi:10.1103/PhysRevD.88.034505

Title: Computing the hadronic vacuum polarization function by analytic continuation

Journal Article · Thu Aug 29 00:00:00 EDT 2013 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.88.034505· OSTI ID:1091780

Feng, Xu ^[1]; Hashimoto, Shoji ^[2]; Hotzel, Grit ^[3]; Jansen, Karl ^[4]; Petschlies, Marcus ^[5]; Renner, Dru B. ^[6]

High Energy Accelerator Research Organization (KEK), Tsukuba (Japan)
High Energy Accelerator Research Organization (KEK), Tsukuba (Japan); The Graduate Univ. for Advanced Studies (Sokendai), Tsukuba (Japan)
Humboldt Univ. zu Berlin, Berlin (Germany)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Univ. of Cyprus, Nicosia (Cyprus)
The Cyprus Institute, Nicosia (Cyprus)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We propose a method to compute the hadronic vacuum polarization function on the lattice at continuous values of photon momenta bridging between the spacelike and timelike regions. We provide two independent demonstrations to show that this method leads to the desired hadronic vacuum polarization function in Minkowski spacetime. We present with the example of the leading-order QCD correction to the muon anomalous magnetic moment that this approach can provide a valuable alternative method for calculations of physical quantities where the hadronic vacuum polarization function enters.

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)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1091780

Report Number(s):: KEK-CP-286; DESY-13-085; JLAB-THY-13-1736; SFB/CPP-13-30; HU-EP-13/24; DOE/OR/23177-2562; arXiv:1305.5878; PRVDAQ; TRN: US1600823

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 88, Issue 3; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 36 works

Citation information provided by
Web of Science

References (32)

The muon g−2 Jegerlehner, Fred; Nyffeler, Andreas Physics Reports, Vol. 477, Issue 1-3 https://doi.org/10.1016/j.physrep.2009.04.003	journal	June 2009
The hadronic contribution to the muon anomalous magnetic moment and to the running electromagnetic fine structure constant at — overview and latest results Hoecker, Andreas Nuclear Physics B - Proceedings Supplements, Vol. 218, Issue 1 https://doi.org/10.1016/j.nuclphysbps.2011.06.031	journal	September 2011
Vector correlators in lattice QCD: Methods and applications Bernecker, David; Meyer, Harvey B. The European Physical Journal A, Vol. 47, Issue 11 https://doi.org/10.1140/epja/i2011-11148-6	journal	November 2011
Towards a precise lattice determination of the leading hadronic contribution to (g − 2) μ Morte, Michele Della; Jäger, Benjamin; Jüttner, Andreas Journal of High Energy Physics, Vol. 2012, Issue 3 https://doi.org/10.1007/JHEP03(2012)055	journal	March 2012
Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment Blum, T. Physical Review Letters, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevLett.91.052001	journal	July 2003
Vacuum polarization and hadronic contribution to muon g−2 from lattice QCD Göckeler, M.; Horsley, R.; Kürzinger, W. Nuclear Physics B, Vol. 688, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.03.026	journal	June 2004
Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks Aubin, C.; Blum, T. Physical Review D, Vol. 75, Issue 11 https://doi.org/10.1103/PhysRevD.75.114502	journal	June 2007
Two-Flavor QCD Correction to Lepton Magnetic Moments at Leading Order in the Electromagnetic Coupling Feng, Xu; Jansen, Karl; Petschlies, Marcus Physical Review Letters, Vol. 107, Issue 8 https://doi.org/10.1103/PhysRevLett.107.081802	journal	August 2011
Lattice determination of the hadronic contribution to the muon $g - 2$ using dynamical domain wall fermions Boyle, Peter; Debbio, Luigi Del; Kerrane, Eoin Physical Review D, Vol. 85, Issue 7 https://doi.org/10.1103/PhysRevD.85.074504	journal	April 2012
Model-independent parametrization of the hadronic vacuum polarization and $g$ -2 for the muon on the lattice Aubin, Christopher; Blum, Thomas; Golterman, Maarten Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.054509	journal	September 2012
On the extraction of zero momentum form factors on the lattice de Divitiis, G. M.; Petronzio, R.; Tantalo, N. Physics Letters B, Vol. 718, Issue 2 https://doi.org/10.1016/j.physletb.2012.10.035	journal	December 2012
Studying Hadronic Structure of the Photon in Lattice QCD Ji, Xiangdong; Jung, Chulwoo Physical Review Letters, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevLett.86.208	journal	January 2001
High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD Allison, I.; Dalgic, E.; Davies, C. T. H. Physical Review D, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevD.78.054513	journal	September 2008
Heavy quark masses from sum rules in four-loop approximation Kühn, Johann H.; Steinhauser, Matthias; Sturm, Christian Nuclear Physics B, Vol. 778, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.04.036	journal	August 2007
Precise charm- and bottom-quark masses: Theoretical and experimental uncertainties Chetyrkin, K. G.; Kühn, J. H.; Maier, A. Theoretical and Mathematical Physics, Vol. 170, Issue 2 https://doi.org/10.1007/s11232-012-0024-7	journal	February 2012
Two-Photon Decay of the Neutral Pion in Lattice QCD Feng, Xu; Aoki, Sinya; Fukaya, Hidenori Physical Review Letters, Vol. 109, Issue 18 https://doi.org/10.1103/PhysRevLett.109.182001	journal	November 2012
Two-Photon Decays of Charmonia from Lattice QCD Dudek, Jozef J.; Edwards, Robert G. Physical Review Letters, Vol. 97, Issue 17 https://doi.org/10.1103/PhysRevLett.97.172001	journal	October 2006
Light meson physics from maximally twisted mass lattice QCD Baron, Remi; Boucaud, Phillip; Dimopoulos, Petros Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)097	journal	August 2010
Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions Lellouch, Laurent; Lüscher, Martin Communications in Mathematical Physics, Vol. 219, Issue 1 https://doi.org/10.1007/s002200100410	journal	May 2001
Lattice QCD and the Timelike Pion Form Factor Meyer, Harvey B. Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.072002	journal	August 2011
Electroweak effective couplings for future precision experiments Jegerlehner, F. IL NUOVO CIMENTO C https://doi.org/10.1393/ncc/i2011-11011-0	journal	October 2011
Lattice calculation of the lowest-order hadronic contribution to the muon anomalous magnetic moment Blum, T. Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.175	journal	March 2005
Studying Hadronic Structure of the Photon in Lattice QCD Ji, Xiangdong; Jung, Chulwoo The American Physical Society https://doi.org/10.17877/de290r-6016	text	January 2001
High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD Allison, I.; Dalgic, E.; Davies, C. T. H. arXiv https://doi.org/10.48550/arxiv.0805.2999	text	January 2008
Precise Charm- and Bottom-Quark Masses: Theoretical and Experimental Uncertainties Chetyrkin, K.; Kühn, J. H.; Maier, A. arXiv https://doi.org/10.48550/arxiv.1010.6157	text	January 2010
The Hadronic Contribution to the Muon Anomalous Magnetic Moment and to the Running Electromagnetic Fine Structure Constant at MZ - Overview and Latest Results Hoecker, Andreas arXiv https://doi.org/10.48550/arxiv.1012.0055	text	January 2010
Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling Feng, Xu; Petschlies, Marcus; Jansen, Karl arXiv https://doi.org/10.48550/arxiv.1103.4818	text	January 2011
Model-independent parametrization of the hadronic vacuum polarization and g-2 for the muon on the lattice Aubin, Christopher; Blum, Thomas; Golterman, Maarten arXiv https://doi.org/10.48550/arxiv.1205.3695	text	January 2012
Two-photon decay of the neutral pion in lattice QCD Feng, Xu; Aoki, Sinya; Fukaya, Hidenori arXiv https://doi.org/10.48550/arxiv.1206.1375	text	January 2012
Weak transition matrix elements from finite-volume correlation functions Lellouch, Laurent; Lüscher, Martin arXiv https://doi.org/10.48550/arxiv.hep-lat/0003023	text	January 2000
Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment Blum, T. arXiv https://doi.org/10.48550/arxiv.hep-lat/0212018	text	January 2002
Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks Aubin, C.; Blum, T. arXiv https://doi.org/10.48550/arxiv.hep-lat/0608011	text	January 2006

Cited By (19)

Lattice Calculations and the Muon Anomalous Magnetic Moment Marinković, Marina Krstić Few-Body Systems, Vol. 58, Issue 4 https://doi.org/10.1007/s00601-017-1301-7	journal	May 2017
Leading-order hadronic contribution to the electron and muon g − 2 Jegerlehner, Fred EPJ Web of Conferences, Vol. 118 https://doi.org/10.1051/epjconf/201611801016	journal	January 2016
Muon g – 2 theory: The hadronic part Jegerlehner, Fred EPJ Web of Conferences, Vol. 166 https://doi.org/10.1051/epjconf/201816600022	journal	January 2018
QCD and strongly coupled gauge theories: challenges and perspectives Brambilla, N.; Eidelman, S.; Foka, P. The European Physical Journal C, Vol. 74, Issue 10 https://doi.org/10.1140/epjc/s10052-014-2981-5	journal	October 2014
Muon $$g-2$$ g - 2 estimates: can one trust effective Lagrangians and global fits? Benayoun, M.; David, P.; DelBuono, L. The European Physical Journal C, Vol. 75, Issue 12 https://doi.org/10.1140/epjc/s10052-015-3830-x	journal	December 2015
Leading-order hadronic contributions to the electron and tau anomalous magnetic moments Burger, Florian; Jansen, Karl; Petschlies, Marcus The European Physical Journal C, Vol. 76, Issue 8 https://doi.org/10.1140/epjc/s10052-016-4307-2	journal	August 2016
Rho Resonance, Timelike Pion Form Factor, and Implications for Lattice Studies of the Hadronic Vacuum Polarisation Erben, Felix; Green, Jeremy R.; Mohler, Daniel Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-00201	text	January 2019
Leading-order hadronic contributions to the electron and tau anomalous magnetic moments Burger, Florian; Jansen, Karl; Petschlies, Marcus Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-00391	text	January 2016
Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarization Erben, Felix; Green, Jeremy; Mohler, Daniel Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01787	text	January 2020
The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD Della Morte, Michele; Francis, Anthony; Gülpers, Vera ETH Zurich https://doi.org/10.3929/ethz-b-000199093	text	January 2017
Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarization Erben, Felix; Green, Jeremy R.; Mohler, Daniel Physical Review D, Vol. 101, Issue 5 https://doi.org/10.1103/physrevd.101.054504	journal	March 2020
QCD and Strongly Coupled Gauge Theories: Challenges and Perspectives Garcia Tormo, Xavier EDP Sciences https://doi.org/10.7892/boris.60803	text	January 2014
Leading-order hadronic contribution to the electron and muon $g − 2$ Jegerlehner, Fred Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2016-05590	text	January 2016
Strange and charm quark contributions to the anomalous magnetic moment of the muon Chakraborty, Bipasha; Davies, C. T. H.; Donald, G. C. arXiv https://doi.org/10.48550/arxiv.1403.1778	text	January 2014
Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment Blum, T.; Boyle, P. A.; Izubuchi, T. arXiv https://doi.org/10.48550/arxiv.1512.09054	text	January 2015
Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass Blum, Thomas; Christ, Norman; Hayakawa, Masashi arXiv https://doi.org/10.48550/arxiv.1610.04603	text	January 2016
Lattice calculations and the muon anomalous magnetic moment Marinkovic, Marina Krstic arXiv https://doi.org/10.48550/arxiv.1704.06425	preprint	January 2017
Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment Blum, T.; Boyle, P. A.; Gülpers, V. arXiv https://doi.org/10.48550/arxiv.1801.07224	text	January 2018
Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation Erben, Felix; Green, Jeremy R.; Mohler, Daniel arXiv https://doi.org/10.48550/arxiv.1910.01083	text	January 2019

Similar Records

Using analytic continuation for the hadronic vacuum polarization computation

Conference · Sat Nov 01 00:00:00 EDT 2014 · PoS · OSTI ID:1091780

Feng, Xu; Hashimoto, Shoji; Hotzel, Grit; +3 more

Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD

Journal Article · Fri Apr 29 00:00:00 EDT 2016 · Physical Review D · OSTI ID:1091780

Chakraborty, Bipasha; Davies, C. T. H.; Koponen, J.; +3 more

Two-pion contribution to hadronic vacuum polarization

Journal Article · Fri Feb 01 00:00:00 EST 2019 · Journal of High Energy Physics (Online) · OSTI ID:1091780

Colangelo, Gilberto; Hoferichter, Martin; Stoffer, Peter

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
hadronic vacuum polarization
muon g-2
lattice QCD

Title: Computing the hadronic vacuum polarization function by analytic continuation

Citation Formats

References (32)

Cited By (19)

Similar Records

Related Subjects