Computing the hadronic vacuum polarization function by analytic continuation
Abstract
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 leadingorder 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.
 Authors:

 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 ElektronenSynchrotron (DESY), Hamburg (Germany); Univ. of Cyprus, Nicosia (Cyprus)
 The Cyprus Institute, Nicosia (Cyprus)
 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)
 OSTI Identifier:
 1091780
 Report Number(s):
 KEKCP286; DESY13085; JLABTHY131736; SFB/CPP1330; HUEP13/24; DOE/OR/231772562; arXiv:1305.5878
Journal ID: ISSN 15507998; PRVDAQ; TRN: US1600823
 Grant/Contract Number:
 AC0506OR23177
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. D, Particles, Fields, Gravitation and Cosmology
 Additional Journal Information:
 Journal Volume: 88; Journal Issue: 3; Journal ID: ISSN 15507998
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; hadronic vacuum polarization; muon g2; lattice QCD
Citation Formats
Feng, Xu, Hashimoto, Shoji, Hotzel, Grit, Jansen, Karl, Petschlies, Marcus, and Renner, Dru B. Computing the hadronic vacuum polarization function by analytic continuation. United States: N. p., 2013.
Web. doi:10.1103/PhysRevD.88.034505.
Feng, Xu, Hashimoto, Shoji, Hotzel, Grit, Jansen, Karl, Petschlies, Marcus, & Renner, Dru B. Computing the hadronic vacuum polarization function by analytic continuation. United States. doi:10.1103/PhysRevD.88.034505.
Feng, Xu, Hashimoto, Shoji, Hotzel, Grit, Jansen, Karl, Petschlies, Marcus, and Renner, Dru B. Thu .
"Computing the hadronic vacuum polarization function by analytic continuation". United States. doi:10.1103/PhysRevD.88.034505. https://www.osti.gov/servlets/purl/1091780.
@article{osti_1091780,
title = {Computing the hadronic vacuum polarization function by analytic continuation},
author = {Feng, Xu and Hashimoto, Shoji and Hotzel, Grit and Jansen, Karl and Petschlies, Marcus and Renner, Dru B.},
abstractNote = {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 leadingorder 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.},
doi = {10.1103/PhysRevD.88.034505},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 3,
volume = 88,
place = {United States},
year = {2013},
month = {8}
}
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Works referencing / citing this record:
Muon g – 2 theory: The hadronic part
journal, January 2018
 Jegerlehner, Fred
 EPJ Web of Conferences, Vol. 166
Muon g – 2 theory: The hadronic part
journal, January 2018
 Jegerlehner, Fred
 EPJ Web of Conferences, Vol. 166
Lattice Calculations and the Muon Anomalous Magnetic Moment
journal, May 2017
 Marinković, Marina Krstić
 FewBody Systems, Vol. 58, Issue 4
Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarization
journal, March 2020
 Erben, Felix; Green, Jeremy R.; Mohler, Daniel
 Physical Review D, Vol. 101, Issue 5