Electromagnetic corrections to the hadronic vacuum polarization of the photon within QED L and QED M

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 l . We work in the electroquenched approximation and use dynamical QCD configurations generated by the CLS initiative with two dege...

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Bibliographic Details
Published in:EPJ Web of conferences 2018, Vol.175, p.6005
Main Authors: Bussone, Andrea, Della Morte, Michele, Janowski, Tadeusz
Format: Article
Language:English
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Summary: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 l . We work in the electroquenched approximation and use dynamical QCD configurations generated by the CLS initiative with two degenerate flavors of nonperturbatively O( a )-improved Wilson fermions. We consider QED L and QED 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 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 L and QED 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.
ISSN:2100-014X
2100-014X
DOI:10.1051/epjconf/201817506005