Lattice QCD calculation of theπ⁰-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon.

IF 20.7

Reports on progress in physics. Physical Society (Great Britain) Pub Date : 2025-07-31 DOI:10.1088/1361-6633/adf147

Tian Lin, Mattia Bruno, Xu Feng, Lu-Chang Jin, Christoph Lehner, Chuan Liu, Qi-Yuan Luo

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Abstract

We develop a method to compute the pion transition form factor directly at arbitrary space-like photon momenta and use it to determine theπ⁰-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon. The calculation is performed using eight gauge ensembles generated with 2+1 flavor domain wall fermions, incorporating multiple pion masses, lattice spacings, and volumes. By introducing a pion structure function and performing a Gegenbauer expansion, we demonstrate that about 98% of theπ⁰-pole contribution can be extracted in a model-independent manner, thereby ensuring that systematic effects are well controlled. After applying finite-volume corrections, as well as performing chiral and continuum extrapolations, we obtain the final result for theπ⁰-pole contribution to the hadronic light-by-light scattering in the muon's anomalous magnetic moment,aμπ0-pole=61.2(1.7)×10-11, and theπ⁰decay width,Γπ0→γγ=7.60(27)eV.

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晶格QCD计算π - 0极对介子异常磁矩中强子逐光散射的贡献。

我们开发了一种直接计算任意类空光子动量下介子跃迁形式因子的方法，并用它来确定介子异常磁矩下强子光对光散射的$\pi^0$ -极贡献。计算使用由2+1味域壁费米子产生的8个规范系综进行，包括多个介子质量、晶格间距和体积。通过引入介子结构函数并进行Gegenbauer展开，我们证明了大约98％的$\pi^0$ -极点贡献可以以模型无关的方式提取，从而确保系统效应得到很好的控制。在应用有限体积修正，以及进行手性和连续统外推之后，我们得到了μ子异常磁矩$a_{\mu}^{\pi^0\mathrm{-pole}}=61.2(1.7)\times 10^{-11}$和$\pi^0$衰变宽度$\Gamma_{\pi^0\to \gamma\gamma}=7.60(27)$ eV中对强子光-光散射的$\pi^0$ -极贡献的最终结果。

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Reports on progress in physics. Physical Society (Great Britain)

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