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 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.
- 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 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)
- 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):
- 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:
- AC05-06OR23177
- 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 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; hadronic vacuum polarization; muon g-2; 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. https://doi.org/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. https://doi.org/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 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.},
doi = {10.1103/PhysRevD.88.034505},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 3,
volume = 88,
place = {United States},
year = {Thu Aug 29 00:00:00 EDT 2013},
month = {Thu Aug 29 00:00:00 EDT 2013}
}
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