Abstract
In this talk I present the current status of a precise first-principles calculation of the quark connected, quark disconnected, and leading QED and strong isospin-breaking contributions to the leading-order hadronic vacuum polarization by the RBC and UKQCD collaborations. The lattice data is also combined with experimental e+e− scattering data, consistency between the two datasets is checked, and a combined result with smaller error than the lattice data and e+e− scattering data individually is presented.
Highlights
The anomalous magnetic moment a = (g − 2)/2 (1)of a particle encodes the radiative corrections to Dirac’s result g = 2
Of a particle encodes the radiative corrections to Dirac’s result g = 2. These moments are experimentally measured to great precision for the light leptons e and μ and provide a stringent test of the standard model (SM) of particle physics
We address how to reduce the uncertainty in the SM prediction of the leading-order (LO) hadronic vacuum polarization (HVP) contribution to aμ
Summary
Of a particle encodes the radiative corrections to Dirac’s result g = 2. These moments are experimentally measured to great precision for the light leptons e and μ and provide a stringent test of the standard model (SM) of particle physics. In order to match the target precision of the Fermilab E989 experiment, see Tab. 1, we need to compute quark-connected, quark-disconnected, and QED and isospin-breaking contributions to the HVP. We present first-principles lattice QCD results for all relevant contributions measured on RBC and UKQCD domain-wall ensembles at effectively physical pion mass. QED and isospin breaking corrections to this mass are small and will be presented in an upcoming publication, see Ref. Throughout our lattice calculation we use appropriately normalized local vector currents
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