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Title: Computing the hadronic vacuum polarization function by analytic continuation

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.
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6]
  1. High Energy Accelerator Research Organization (KEK), Tsukuba (Japan)
  2. High Energy Accelerator Research Organization (KEK), Tsukuba (Japan); The Graduate Univ. for Advanced Studies (Sokendai), Tsukuba (Japan)
  3. Humboldt Univ. zu Berlin, Berlin (Germany)
  4. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Univ. of Cyprus, Nicosia (Cyprus)
  5. The Cyprus Institute, Nicosia (Cyprus)
  6. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
OSTI Identifier:
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
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1600823
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 88; Journal Issue: 3; Journal ID: ISSN 1550-7998
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS hadronic vacuum polarization; muon g-2; lattice QCD