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The hadronic vacuum polarization from lattice QCD: contributions to the muon anomalous magnetic moment and to the running of electroweak couplings

Marco Ce

CERN

The recent Fermilab experimental result, combined with the previous BNL one,
confirms the ongoing four-sigma tension between the SM theory prediction of
the anomalous magnetic moment (g-2) of the muon and the experimental value.
However, some lattice QCD calculations have produced results for the
hadronic vacuum polarization (HVP) contribution to the muon g-2 that solve
the discrepancy with the experiments without the need of BSM physics. If
this is confirmed, a new tension would arise either with the hadronic
cross-section at low energies or with global electroweak fits. Lattice QCD
results for the HVP contribution to the running of the electroweak couplings
can shed light on this possible tension.