Monday, October 26, 9:00 a.m.
Bastian Kubis - Bonn University
Hadronic contributions to the muon's anomalous magnetic moment from analyticity
The uncertainty in the Standard Model prediction for the anomalous magnetic moment of the muon is by far dominated by hadronic effects. I discuss how different important contributions can be made more precise by using rigorous theoretical constraints, especially due to analyticity: this includes hadronic vacuum polarisation due to $3\pi$ and $\pi^0\gamma$ intermediate states, and hadronic light-by-light scattering via the largest individual contribution therein, the $\pi^0$-pole term. The latter is determined in terms of the $\pi^0$ transition form factor, for which a representation that incorporates all low-lying singularities and matches correctly onto the asymptotic behaviour expected from perturbative QCD has been derived. Further, ongoing, extensions of this work will briefly be mentioned.