Pseudoscalar-pole contributions to the muon $g-2$ at the physical point

Burri, S. A.; Kanwar, G.; Alexandrou, C.; Bacchio, S.; Bergner, G.; Finkenrath, J.; Gasbarro, A.; Hadjiyiannakou, K.; Jansen, K.; Kostrzewa, B.; Koutsou, G.; Ottnad, K.; Petschlies, M.; Pittler, F.; Steffens, F.; Urbach, C.; Wenger, U. (2022). Pseudoscalar-pole contributions to the muon $g-2$ at the physical point. In: The 39th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab 10.22323/1.430.0306

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Pseudoscalar-pole diagrams are an important component of estimates of the
hadronic light-by-light (HLbL) contribution to the muon g−2. We report on our computation of the transition form factors P→γ∗γ∗ for the neutral pseudoscalar mesons P=π0
and η . The calculation is performed using twisted-mass lattice QCD with physical quark masses. On the lattice, we have access to a broad range of (space-like) photon four-momenta and therefore produce form factor data complementary to the experimentally accessible single-virtual direction, which directly leads to an estimate of the pion- and η
-pole components of the muon g−2 . For the pion, our result for the g−2 contribution in the continuum is comparable with previous lattice and data-driven determinations, with combined relative uncertainties below 10% . For the η meson, we report on a preliminary determination from a single lattice spacing.

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