6533b836fe1ef96bd12a093b

RESEARCH PRODUCT

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

Anthony FrancisBenjamin JaegerVera GuelpersGeorg M. Von HippelHartmut WittigHarvey B. Meyer

subject

PhysicsStrange quarkMuonAnomalous magnetic dipole momentHigh Energy Physics::LatticeHadronHigh Energy Physics - Lattice (hep-lat)PropagatorFOS: Physical sciencesFermionUpper and lower boundsHigh Energy Physics - LatticeQuantum electrodynamicsVacuum polarization

description

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 $(g-2)_\mu$.

https://dx.doi.org/10.48550/arxiv.1411.7592