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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Leading isospin breaking effects in the hadronic vacuum polarisation with open boundaries
A. Risch,* H. Wittig
*corresponding author
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Pre-published on: 2020 January 04
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We discuss leading isospin-breaking effects in the hadronic vacuum polarisation required for the investigation of the hadronic contribution to $(g-2)_{\mu}$. The calculation proceeds by expanding the relevant correlation functions around the isosymmetric limit. Isosymmetric observables are evaluated on gauge ensembles with $N_{f}=2+1$, $O(a)$ 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.
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