Strange and charm quark contributions to the anomalous magnetic moment of the muon

Abstract

We describe a new technique to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarization using lattice QCD. Our method reconstructs the Adler function, using Padé approximants, from its derivatives at $q^2=0$ obtained simply and accurately from time-moments of the vector current-current correlator at zero spatial momentum. We test the method using strange quark correlators on large-volume gluon field configurations that include the effect of up and down (at physical masses), strange and charm quarks in the sea at multiple values of the lattice spacing and multiple volumes and show that 1% accuracy is achievable. For the charm quark contributions we use our previously determined moments with up, down and strange quarks in the sea on very fine lattices. We find the (connected) contribution to the anomalous moment from the strange quark vacuum polarization to be $a_{\mu }^s=53.41(59)\times 10^{-10}$, and from charm to be $a_{\mu }^c=14.42(39)\times 10^{-10}$. These are in good agreement with flavour-separated results from non-lattice methods, given caveats about the comparison. The extension of our method to the light quark contribution and to that from the quark-line disconnected diagram is straightforward.

7 pages, 4 figures. Updated to version accepted for publication, with additional clarification of the new method developed here

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Cited by in corpus (26)

• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• The strong coupling from the revised ALEPH data for hadronic $\tau$ decays
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Radiative contribution to the composite-Higgs potential in a two-representation lattice model
• A New Strategy for the Lattice Evaluation of the Leading Order Hadronic Contribution to $(g-2{)}_{\mu }$
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Finite-volume and thermal effects in the leading-HVP contribution to muonic $(g-2)$
• Moment Analysis of Hadronic Vacuum Polarization - Proposal for a lattice QCD evaluation of $g_{\mu }-2$
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Data-based determination of the isospin-limit light-quark-connected contribution to the anomalous magnetic moment of the muon
• A ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon
• Connected, Disconnected and Strange Quark Contributions to HVP
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Anomalous magnetic moment of the muon, a hybrid approach
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Determination of the NNLO low-energy constant $C_{93}$
• Recent Developments of Muon g-2 from Lattice QCD
• The strange and charm quark contributions to the anomalous magnetic moment of the muon from lattice QCD
• Lepton anomalous magnetic moments from twisted mass fermions
• Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data