Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD

Davies, C. T. H.; DeTar, C.; El-Khadra, A. X.; Gámiz, E.; Gottlieb, Steven; Hatton, D.; Kronfeld, A. S.; Laiho, J.; Lepage, G. P.; Liu, Yuzhi; Mackenzie, P. B.; McNeile, C.; Neil, E. T.; Primer, T.; Simone, J. N.; Toussaint, D.; Van de Water, R. S.; Vaquero, A.

doi:10.1103/PhysRevD.101.034512

Title: Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD

Journal Article · Tue Feb 18 00:00:00 EST 2020 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.101.034512· OSTI ID:1600067

Davies, C. T. H.; DeTar, C.; El-Khadra, A. X.; Gámiz, E.; Gottlieb, Steven; Hatton, D.; Kronfeld, A. S.; Laiho, J.; Lepage, G. P.; Liu, Yuzhi; Mackenzie, P. B.; McNeile, C.; Neil, E. T.; Primer, T.; Simone, J. N.; Toussaint, D.; Van de Water, R. S.; Vaquero, A.

We calculate the contribution to the muon anomalous magnetic moment hadronic vacuum polarization from the connected diagrams of up and down quarks, omitting electromagnetism. We employ QCD gauge-field configurations with dynamical $u, d, s,$ and $$c$$ quarks and the physical pion mass, and analyze five ensembles with lattice spacings ranging from $a≈0.06$ to 0.15 fm. The up- and down-quark masses in our simulations have equal masses ml. We obtain, in this world where all pions have the mass of the $π^0$, $$10^{10}a_μ^{ll}(conn.)=637.8(8.8)$$, in agreement with independent lattice-QCD calculations. We then combine this value with published lattice-QCD results for the connected contributions from strange, charm, and bottom quarks, and an estimate of the uncertainty due to the fact that our calculation does not include strong-isospin breaking, electromagnetism, or contributions from quark-disconnected diagrams. Our final result for the total $O(α^2)$ hadronic-vacuum polarization to the muon’s anomalous magnetic moment is $$10^{10}a_μ^{HVP,LO}=699(15)_{u,d}(1)_{s,c,b}$$, where the errors are from the light-quark and heavy-quark contributions, respectively. Our result agrees with both ab-initio lattice-QCD calculations and phenomenological determinations from experimental $e^+e^-$-scattering data. It is $1.3σ$ below the “no new physics” value of the hadronic-vacuum-polarization contribution inferred from combining the BNL E821 measurement of $$a_μ$$ with theoretical calculations of the other contributions.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Univ. of Colorado, Boulder, CO (United States); Syracuse Univ., NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: Fermilab Lattice, HPQCD, and MILC Collaborations

Grant/Contract Number:: AC02-07CH11359; FG02-13ER41976; SC0009998; SC0010005; SC0010120; SC0015655; TG-MCA93S002

OSTI ID:: 1600067

Alternate ID(s):: OSTI ID: 1529343; OSTI ID: 1764432; OSTI ID: 1834560; OSTI ID: 1903110

Report Number(s):: FERMILAB-PUB-19-064-T; PRVDAQ; 034512

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 101 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 68 works

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