Pseudoscalar transition form factors and the hadronic light-by-light contribution to the muon $g-2$

TL;DR

This paper discusses progress in calculating transition form factors of light mesons using lattice QCD, crucial for estimating their contribution to the muon g-2 anomaly.

Contribution

It presents novel lattice QCD computations of pseudoscalar transition form factors for $ ext{pi}^0$, $ ext{eta}$, and $ ext{eta'}$ mesons, advancing the understanding of their role in muon g-2.

Findings

Preliminary lattice results for form factors at finite lattice spacing.

Estimates of pseudoscalar-pole contributions to muon g-2.

Progress towards reducing uncertainties in hadronic light-by-light calculations.

Abstract

We report on our progress toward the computation of the $\pi^0$, $\eta$ and $\eta^{\prime}$ transition form factors using staggered quarks on $N_f=2+1+1$ gauge ensembles generated by the Budapest-Marseille-Wuppertal collaboration. These form factors are essential ingredients to evaluate the pseudoscalar-pole contributions to the hadronic light-by-light scattering in the muon $g-2$. Preliminary results for the pseudoscalar-pole contributions are presented, at finite lattice spacing, for all three light mesons.