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

Davies, C.T.H. et al. (2020) Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD. Physical Review D, 101(3), 034512. (doi: 10.1103/PhysRevD.101.034512)

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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 m l . We obtain, in this world where all pions have the mass of the π 0 , 1 0 10 a l l μ ( 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 1 0 10 a HVP , LO μ = 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 1.3 σ 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.

Item Type:Articles
Additional Information:This work was supported in part by the U.S. Department of Energy under awards No. DE-AC02- 07CH11359 (T.P.), No. DE-FG02-13ER41976 (D.T.), No. DE-SC0009998 (J.L.), No. DE-SC0010005 (E.T.N.), No. DE-SC0010120 (S.G.), and No. DE- SC0015655 (A.X.K.); by the U.S. National Science Foundation under Grants No. PHY12-12389 (Y.L.), No. PHY13-16222 (G.P.L.), No. PHY17-19626 (C.D., A.V.), and No. PHY14-17805 (J.L.); by the U.K. STFC under Grants No. ST/L000466/1 and No. ST/P000746/1 (C.T.H.D., D.H.), and No. ST/N005872/1 and No. ST/P00055X/1 (C.M.); by the MINECO (Spain) un- der Grant No. FPA2016-78220-C3-3-P (E.G.); by the Junta de Andalucia (Spain) under Grant No. FQM- 101 (E.G.); by the Fermilab Distinguished Scholars Program (A.X.K.); by the German Excellence Initiative and the European Union Seventh Framework Program under Grant No. 291763 as well as the European Union's Marie Curie COFUND program (A.S.K.); and by the Blue Waters PAID program (Y.L.). Funded by SCOAP3.
Glasgow Author(s) Enlighten ID:Hatton, Mr Daniel and Davies, Professor Christine
Authors: Davies, C.T.H., DeTar, C., El-Khadra, A.X., Gamiz, E., Gottlieb, S., Hatton, D., Kronfeld, A.S., Laiho, J., Lepage, G.P., Liu, Y., Mackenzie, P.B., McNeile, C., Neil, E.T., Primer, T., Simone, J.N., Toussaint, D., Van de Water, R.S., and Vaquero, A.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review D
Publisher:American Physical Society
ISSN (Online):2470-0029
Copyright Holders:Copyright © 2020 The Authors
First Published:First published in Physical Review D 101:034512 R
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
169715Phenomenology from Lattice QCD and collider physicsChristine DaviesScience and Technology Facilities Council (STFC)ST/L000466/1P&S - Physics & Astronomy
173809Phenomenology from Lattice QCD and Collider PhysicsChristine DaviesScience and Technology Facilities Council (STFC)ST/P000746/1P&S - Physics & Astronomy