论文标题
$η\rightArrowγ^*γ^* $过渡形式和hadronic逐亮$η$ - 最高的$ pele $ pele $ pele from lattice qcd对muon $ g-2 $贡献
The $η\rightarrow γ^* γ^*$ transition form factor and the hadronic light-by-light $η$-pole contribution to the muon $g-2$ from lattice QCD
论文作者
论文摘要
我们计算双月$η\rightArrowγ^*γ^* $过渡形式$ \ MATHCAL {f} _ {η\toγ^*γ^*γ}（q_1^2，q_2^2，q_2^2）$使用lattice qcd at at $ n_f = 2+1+1+1+1+1+1+1+1+1+1+1+1 $ 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1;间距和音量。我们计算所涵盖的运动范围与可从实验访问的一个互补，并且与$η$ - 极点在异常磁矩$a_μ=（g-2）/2 $中对hadronic轻度散射的贡献相关。根据表单要素的计算，我们提取部分衰减宽度$γ（η\rightarrowγγ）= 323（85）_ \ text {stat}（22）_ \ text {syst} $ ev和坡度参数$b_η= 1.19（36） GEV $ {}^{ - 2} $。对于$η$ -pole对$a_μ$的贡献，我们获得$a_μ^{η-\ text {pole}} = 13.2（5.2）_ \ text {stat}（1.3）_ \ text} _ \ text {syst} \ cdot 10^{ - 11}} $。
We calculate the double-virtual $η\rightarrow γ^* γ^*$ transition form factor $\mathcal{F}_{η\to γ^* γ^*}(q_1^2,q_2^2)$ 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 $η$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment $a_μ= (g-2)/2$ of the muon. From the form factor calculation we extract the partial decay width $Γ(η\rightarrow γγ) = 323(85)_\text{stat}(22)_\text{syst}$ eV and the slope parameter $b_η=1.19(36)_\text{stat}(16)_\text{syst}$ GeV${}^{-2}$. For the $η$-pole contribution to $a_μ$ we obtain $a_μ^{η-\text{pole}} = 13.2(5.2)_\text{stat}(1.3)_\text{syst} \cdot 10^{-11}$.
