Tenth-order lepton anomalous magnetic moment: Second-order vertex containing two vacuum polarization subdiagrams, one within the other

Lepton Anomalous Magnetic Moment

This article reviews and updates the Standard Model prediction of the τ lepton g−2. Updated QED and electroweak contributions are presented, together with new values of the leading-order hadronic term, based on the recent low energy ee data from BaBar, CMD-2, KLOE and SND, and of the hadronic light-by-light contribution. The total prediction is confronted to the available experimental bounds on...

Higher-order hadronic and heavy-lepton contributions to the anomalous magnetic moment

We report about recent results obtained for the muon anomalous magnetic moment. Three-loop kernel functions have been computed to obtain the next-to-next-to-leading-order hadronic vacuum polarization contributions. The numerical result, a had,NNLO μ = 1.24± 0.01× 10−10, is of the same order of magnitude as the current uncertainty from the hadronic contributions. For heavylepton corrections, ana...

Calculation of the Hadronic Vacuum Polarization Disconnected Contribution to the Muon Anomalous Magnetic Moment.

We report the first lattice QCD calculation of the hadronic vacuum polarization (HVP) disconnected contribution to the muon anomalous magnetic moment at physical pion mass. The calculation uses a refined noise-reduction technique that enables the control of statistical uncertainties at the desired level with modest computational effort. Measurements were performed on the 48^{3}×96 physical-pion...

The QED vacuum polarization function at four loops and the anomalous magnetic moment at five loops

The anomalous moment of the muon is one of the most fundamental observables. It has been measured experimentally with a very high precision and on theory side the contributions from perturbative QED have been calculated up to five-loop level by numerical methods. Contributions to the muon anomalous magnetic moment from certain diagram classes are also accessible by alternative methods. In this ...

One-loop vacuum polarization at mα7 order for the two-center problem