PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - QCD in searches for physics beyond the Standard Model
Pseudoscalar-pole contributions to the muon $g-2$ at the physical point
S.A. Burri*, G. Kanwar, C. Alexandrou, S. Bacchio, G. Bergner, J. Finkenrath, A. Gasbarro, K. Hadjiyiannakou, K. Jansen, B. Kostrzewa, G. Koutsou, K. Ottnad, M. Petschlies, F. Pittler, F. Steffens, C. Urbach and U. Wenger
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Pre-published on: February 01, 2023
Published on: April 06, 2023
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 $\mathcal{F}_{P \rightarrow \gamma^* \gamma^*}$ for the neutral pseudoscalar mesons $P=\pi^0$ and $\eta$. 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 $\eta$-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 $\eta$ meson, we report on a preliminary determination from a single lattice spacing.
DOI: https://doi.org/10.22323/1.430.0306
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