Leading isospin breaking effects in the hadronic vacuum polarisation with open boundaries
arXiv:1911.04230
Abstract
We discuss leading isospin breaking effects in the hadronic vacuum polarisation required for the investigation of the hadronic contribution to . The calculation proceeds by expanding the relevant correlation functions around the isosymmetric limit. Isosymmetric observables are evaluated on gauge ensembles with , improved Wilson fermions and open boundary conditions generated by the CLS effort. Particular emphasis is placed on the relevant quark-disconnected diagrams required for a complete treatment of leading isospin breaking effects in the valence quark sector. We provide a detailed discussion of the renormalisation of the vector current in QCD+QED taking operator mixing into account.
7 pages, 2 figures, Proceedings for the 37th International Symposium on Lattice Field Theory, 16-22 June 2019, Wuhan, China