The leading disconnected contribution to the anomalous magnetic moment of the muon

Abstract

The hadronic vacuum polarization can be determined from the vector correlator in a mixed time-momentum representation. We explicitly calculate the disconnected contribution to the vector correlator, both in the $N_f=2$ theory and with an additional quenched strange quark, using non-perturbatively $O(a)$-improved Wilson fermions. All-to-all propagators are computed using stochastic sources and a generalized hopping parameter expansion. Combining the result with the dominant connected contribution, we are able to estimate an upper bound for the systematic error that arises from neglecting the disconnected contribution in the determination of $(g-2{)}_{\mu }$.

arXiv comment7 pages, 6 figures, presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), June 23-28 2014, New York, USA

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Cited by in corpus (8)

• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$
• Leading-order hadronic contributions to the electron and tau anomalous magnetic moments
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Inclusion of isospin breaking effects in lattice simulations
• Recent Developments of Muon g-2 from Lattice QCD