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

TL;DR

This paper reports preliminary lattice QCD calculations of the pseudoscalar transition form factors for the $ ext{eta}$ and $ ext{eta'}$ mesons, crucial for estimating the hadronic light-by-light contribution to the muon g-2.

Contribution

It provides new lattice QCD results for $ ext{eta}$ and $ ext{eta'}$ transition form factors using staggered quarks on $N_f=2+1+1$ ensembles, focusing on the $ ext{eta}$ meson.

Findings

Extraction of $ ext{eta}$ and $ ext{eta'}$ meson masses.

Preliminary results for $ ext{eta}$ transition form factor.

Focus on $ ext{eta}$ meson without mixing effects.

Abstract

We present preliminary results from our calculation of the pseudoscalar transition form factors of the $\eta$ and $\eta'$ mesons using staggered quarks on $N_f=2+1+1$ gauge ensembles generated by the Budapest-Marseille-Wuppertal collaboration. These transition form factors are an important input for the hadronic light-by-light contribution to the muon $(g-2)$. We first elaborate on the extraction of the masses of the $\eta$ and $\eta'$ mesons, that mix under the dynamics of QCD. Thereafter, we show our preliminary results for the pseudoscalar transition form factors, focusing on the $\eta$ meson in the absence of mixing.