Electromagnetic corrections to the hadronic vacuum polarization of the photon within QED${}_{\mathrm{L}}$ and QED${}_{\mathrm{M}}$

Abstract

We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, $a_{\ell }$. We work in the electroquenched approximation and use dynamical QCD configurations generated by the CLS initiative with two degenerate flavors of non-perturbatively O($a$)-improved Wilson fermions. We consider QED${}_{\mathrm{L}}$ and QED${}_{\mathrm{M}}$ to deal with the finite-volume zero modes. We compare results for the Wilson loops with exact analytical determinations. In addition we make sure that the volumes and photon masses used in QED${}_{\mathrm{M}}$ are such that the correct dispersion relation is reproduced by the energy levels extracted from the charged pions two-point functions. Finally we compare results for pion masses and the HVP between QED${}_{\mathrm{L}}$ and QED${}_{\mathrm{M}}$. For the vacuum polarization, corrections with respect to the pure QCD case, at fixed pion masses, turn out to be at the percent level.

8 pages, 5 figures, 2 tabs, talk presented at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain

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Cited by in corpus (4)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Theoretical aspects of quantum electrodynamics in a finite volume with periodic boundary conditions
• Electromagnetic finite-size effects to the hadronic vacuum polarization
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization