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Leading isospin breaking effects in the HVP contribution to $a_{\mu}$ and to the running of $\alpha$ by Risch, Andreas; Wittig, Hartmut is a scholarly article available to read on EtoBox.

What is Leading isospin breaking effects in the HVP contribution to $a_{\mu}$ and to the running of $\alpha$ about?

The anomalous magnetic moment of the muon $a_{\mu}$ and the running of the electromagnetic coupling $\alpha$ play a fundamental role in beyond Standard Model (SM) physics searches. Non-perturbative hadronic contributions to both quantities, which are related to the hadronic vacuum polarization (HVP) function consisting of two electromagnetic currents, are a main source of uncertainty in the SM prediction. We compute the HVP function in lattice QCD+QED applying the time-momentum representation method. We expand the relevant correlation functions around the isosymmetric limit. In particular, we focus on leading isospin breaking effects taking quark-connected contributions into account, which we evaluate on isosymmetric $N_{\mathrm{f}}=2+1$ QCD gauge ensembles generated by the CLS initiative with non-perturbatively $O(a)$-improved Wilson fermions.

Author

Risch, Andreas; Wittig, Hartmut

Published

2021

Language

EN