Speaker
Description
Electromagnetic corrections to n-point functions on the lattice can be calculated by using a position space photon propagator. In this representation the propagator depends on the difference between the two vertices connected by the internal photon, leading to a volume square sum. The sum can be avoided by fixing one of the vertices to a single point with the downside of drastically reducing the sampling of the vertex. We explore various ways of factorizing the position space photon propagator, which disentangles the dependence on the difference. It allows the sum over all lattice sites for the two vertices connected by the internal photon.
We compare the point-source implementation with two methods, where the propagator is factorized, by calculating the isospin violating part of the hadronic vacuum polarization of $(g-2)_\mu$. The calculations are performed on a single CLS ensemble, N451, with a pion mass of 286 MeV.
| Parallel Session (for talks only) | Quark and lepton flavor physics |
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