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.

arXiv comment7 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 (54)

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• Weak Mixing Angle in the Thomson Limit
• Lattice QCD and the anomalous magnetic moment of the muon
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• Review of experimental and theoretical status of the proton radius puzzle
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• Finite-volume correction on the hadronic vacuum polarization contribution to muon g-2 in lattice QCD
• Connected, Disconnected and Strange Quark Contributions to HVP
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
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• The strange and charm quark contributions to the anomalous magnetic moment of the muon from lattice QCD
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