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arXiv · 2112.08101

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

Antoine Gérardin·Jana N. Guenther·Lukas Varnhorst·Willem E. A. Verplanke
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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.

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Antoine Gérardin, Jana N. Guenther, Lukas Varnhorst, Willem E. A. Verplanke. 2021-12-15. Pseudoscalar transition form factors and the hadronic light-by-light contribution to the muon $g-2$. https://arxiv.org/abs/2112.08101

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