Lattice QCD calculation of the $π^0$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913965415596032 |
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| author | Lin, Tian Bruno, Mattia Feng, Xu Jin, Lu-Chang Lehner, Christoph Liu, Chuan Luo, Qi-Yuan |
| author_facet | Lin, Tian Bruno, Mattia Feng, Xu Jin, Lu-Chang Lehner, Christoph Liu, Chuan Luo, Qi-Yuan |
| contents | We develop a method to compute the pion transition form factor directly at arbitrary space-like photon momenta and use it to determine the $π^0$-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 the $π^0$-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 the $π^0$-pole contribution to the hadronic light-by-light scattering in the muon's anomalous magnetic moment, $a_μ^{π^0\mathrm{-pole}}=61.2(1.7)\times 10^{-11}$, and the $π^0$ decay width, $Γ_{π^0\to γγ}=7.60(27)$ eV. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_06349 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice QCD calculation of the $π^0$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon Lin, Tian Bruno, Mattia Feng, Xu Jin, Lu-Chang Lehner, Christoph Liu, Chuan Luo, Qi-Yuan High Energy Physics - Lattice High Energy Physics - Phenomenology We develop a method to compute the pion transition form factor directly at arbitrary space-like photon momenta and use it to determine the $π^0$-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 the $π^0$-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 the $π^0$-pole contribution to the hadronic light-by-light scattering in the muon's anomalous magnetic moment, $a_μ^{π^0\mathrm{-pole}}=61.2(1.7)\times 10^{-11}$, and the $π^0$ decay width, $Γ_{π^0\to γγ}=7.60(27)$ eV. |
| title | Lattice QCD calculation of the $π^0$-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.06349 |