skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [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:
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. 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 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 = {2013},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The muon g−2
journal, June 2009


Vector correlators in lattice QCD: Methods and applications
journal, November 2011


Towards a precise lattice determination of the leading hadronic contribution to (g − 2) μ
journal, March 2012

  • Morte, Michele Della; Jäger, Benjamin; Jüttner, Andreas
  • Journal of High Energy Physics, Vol. 2012, Issue 3
  • DOI: 10.1007/JHEP03(2012)055

Vacuum polarization and hadronic contribution to muon g−2 from lattice QCD
journal, June 2004


Two-Flavor QCD Correction to Lepton Magnetic Moments at Leading Order in the Electromagnetic Coupling
journal, August 2011


Lattice determination of the hadronic contribution to the muon g 2 using dynamical domain wall fermions
journal, April 2012


Model-independent parametrization of the hadronic vacuum polarization and g -2 for the muon on the lattice
journal, September 2012


On the extraction of zero momentum form factors on the lattice
journal, December 2012


Studying Hadronic Structure of the Photon in Lattice QCD
journal, January 2001


High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD
journal, September 2008


Heavy quark masses from sum rules in four-loop approximation
journal, August 2007


Precise charm- and bottom-quark masses: Theoretical and experimental uncertainties
journal, February 2012

  • Chetyrkin, K. G.; Kühn, J. H.; Maier, A.
  • Theoretical and Mathematical Physics, Vol. 170, Issue 2
  • DOI: 10.1007/s11232-012-0024-7

Two-Photon Decay of the Neutral Pion in Lattice QCD
journal, November 2012


Two-Photon Decays of Charmonia from Lattice QCD
journal, October 2006


Light meson physics from maximally twisted mass lattice QCD
journal, August 2010

  • Baron, Remi; Boucaud, Phillip; Dimopoulos, Petros
  • Journal of High Energy Physics, Vol. 2010, Issue 8
  • DOI: 10.1007/JHEP08(2010)097

Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions
journal, May 2001

  • Lellouch, Laurent; Lüscher, Martin
  • Communications in Mathematical Physics, Vol. 219, Issue 1
  • DOI: 10.1007/s002200100410

Lattice QCD and the Timelike Pion Form Factor
journal, August 2011


    Works referencing / citing this record:

    Muon g – 2 theory: The hadronic part
    journal, January 2018


    Muon g – 2 theory: The hadronic part
    journal, January 2018


    Lattice Calculations and the Muon Anomalous Magnetic Moment
    journal, May 2017


    Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarization
    journal, March 2020