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Title: Higher-order hadronic-vacuum-polarization contribution to the muon g 2 from lattice QCD

Abstract

Here, we calculate the $${{\rm O}}(\alpha^3)$$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment for the first time from $ab$-$initio$ lattice QCD. We employ previously-published results for the Taylor coefficients of the renormalized vacuum polarization function that were obtained on four-flavor QCD gauge-field configurations with physical light-quark masses. We obtain $$10^{10} a_\mu^{\rm HVP,HO} = -9.3(1.3)$$, in agreement with determinations from $$e^+e^- \to {\rm hadrons}$$ data plus dispersion relations. The total uncertainty is below the target precision of the Muon $g-2$ Experiment. We also provide new expressions suitable for computing the $${{\rm O}}(\alpha^3)$$ hadronic vacuum polarization contributions from the renormalized vacuum polarization function $${\widehat\Pi}(q^2)$$, or directly from the lattice vector-current correlator in Euclidean space.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Univ. of Glasgow, Glasgow (United Kingdom)
  3. INFN, Roma (Italy)
  4. Cornell Univ., Ithaca, NY (United States)
  5. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Org.:
Fermilab Lattice, HPQCD, and MILC Collaborations
OSTI Identifier:
1481454
Alternate Identifier(s):
OSTI ID: 1481732
Report Number(s):
JLAB-THY-18-2779; DOE/OR/23177-4511
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
PHY13-16222; AC02-07CH11359
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Chakraborty, B., Davies, C. T. H., Koponen, J., Lepage, G. P., and Van de Water, R. S. Higher-order hadronic-vacuum-polarization contribution to the muon g – 2 from lattice QCD. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.094503.
Chakraborty, B., Davies, C. T. H., Koponen, J., Lepage, G. P., & Van de Water, R. S. Higher-order hadronic-vacuum-polarization contribution to the muon g – 2 from lattice QCD. United States. doi:10.1103/PhysRevD.98.094503.
Chakraborty, B., Davies, C. T. H., Koponen, J., Lepage, G. P., and Van de Water, R. S. Fri . "Higher-order hadronic-vacuum-polarization contribution to the muon g – 2 from lattice QCD". United States. doi:10.1103/PhysRevD.98.094503.
@article{osti_1481454,
title = {Higher-order hadronic-vacuum-polarization contribution to the muon g – 2 from lattice QCD},
author = {Chakraborty, B. and Davies, C. T. H. and Koponen, J. and Lepage, G. P. and Van de Water, R. S.},
abstractNote = {Here, we calculate the ${{\rm O}}(\alpha^3)$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment for the first time from $ab$-$initio$ lattice QCD. We employ previously-published results for the Taylor coefficients of the renormalized vacuum polarization function that were obtained on four-flavor QCD gauge-field configurations with physical light-quark masses. We obtain $10^{10} a_\mu^{\rm HVP,HO} = -9.3(1.3)$, in agreement with determinations from $e^+e^- \to {\rm hadrons}$ data plus dispersion relations. The total uncertainty is below the target precision of the Muon $g-2$ Experiment. We also provide new expressions suitable for computing the ${{\rm O}}(\alpha^3)$ hadronic vacuum polarization contributions from the renormalized vacuum polarization function ${\widehat\Pi}(q^2)$, or directly from the lattice vector-current correlator in Euclidean space.},
doi = {10.1103/PhysRevD.98.094503},
journal = {Physical Review D},
number = 9,
volume = 98,
place = {United States},
year = {Fri Nov 09 00:00:00 EST 2018},
month = {Fri Nov 09 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.98.094503

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