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- W4311557304 abstract "We calculate the double-virtual $eta rightarrow gamma^* gamma^*$ transition form factor $mathcal{F}_{eta to gamma^* gamma^*}(q_1^2,q_2^2)$ from first principles using a lattice QCD simulation with $N_f=2+1+1$ quark flavors at the physical pion mass and at one lattice spacing and volume. The kinematic range covered by our calculation is complementary to the one accessible from experiment and is relevant for the $eta$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment $a_mu = (g-2)/2$ of the muon. From the form factor calculation we extract the partial decay width $Gamma(eta rightarrow gamma gamma) = 323(85)_text{stat}(22)_text{syst}$ eV and the slope parameter $b_eta=1.19(36)_text{stat}(16)_text{syst}$ GeV${}^{-2}$. For the $eta$-pole contribution to $a_mu$ we obtain $a_mu^{eta-text{pole}} = 13.2(5.2)_text{stat}(1.3)_text{syst} cdot 10^{-11}$." @default.
- W4311557304 created "2022-12-27" @default.
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- W4311557304 date "2022-12-13" @default.
- W4311557304 modified "2023-09-30" @default.
- W4311557304 title "The $eta rightarrow gamma^* gamma^*$ transition form factor and the hadronic light-by-light $eta$-pole contribution to the muon $g-2$ from lattice QCD" @default.
- W4311557304 doi "https://doi.org/10.48550/arxiv.2212.06704" @default.
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