Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light $π^0$-pole Contribution to the Muon $g-2$
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| Main Authors: | , , , , , , , , , , , , , , , , |
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| Format: | Preprint |
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2023
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| author | Alexandrou, C. Bacchio, S. Bergner, G. Burri, S. Finkenrath, J. Gasbarro, A. Hadjiyiannakou, K. Jansen, K. Kanwar, G. Kostrzewa, B. Koutsou, G. Ottnad, K. Petschlies, M. Pittler, F. Steffens, F. Urbach, C. Wenger, U. |
| author_facet | Alexandrou, C. Bacchio, S. Bergner, G. Burri, S. Finkenrath, J. Gasbarro, A. Hadjiyiannakou, K. Jansen, K. Kanwar, G. Kostrzewa, B. Koutsou, G. Ottnad, K. Petschlies, M. Pittler, F. Steffens, F. Urbach, C. Wenger, U. |
| contents | The neutral pion generates the leading pole contribution to the hadronic light-by-light tensor, which is given in terms of the nonperturbative transition form factor $\mathcal{F}_{π^0γγ}(q_1^2,q_2^2)$. Here we present an ab-initio lattice calculation of this quantity in the continuum and at the physical point using twisted-mass lattice QCD. We report our results for the transition form factor parameterized using a model-independent conformal expansion valid for arbitrary space-like kinematics and compare it with experimental measurements of the single-virtual form factor, the two-photon decay width, and the slope parameter. We then use the transition form factors to compute the pion-pole contribution to the hadronic light-by-light scattering in the muon $g-2$, finding $a_μ^{π^0\text{-pole}} = 56.7(3.2) \times 10^{-11}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_12458 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light $π^0$-pole Contribution to the Muon $g-2$ Alexandrou, C. Bacchio, S. Bergner, G. Burri, S. Finkenrath, J. Gasbarro, A. Hadjiyiannakou, K. Jansen, K. Kanwar, G. Kostrzewa, B. Koutsou, G. Ottnad, K. Petschlies, M. Pittler, F. Steffens, F. Urbach, C. Wenger, U. High Energy Physics - Lattice High Energy Physics - Phenomenology The neutral pion generates the leading pole contribution to the hadronic light-by-light tensor, which is given in terms of the nonperturbative transition form factor $\mathcal{F}_{π^0γγ}(q_1^2,q_2^2)$. Here we present an ab-initio lattice calculation of this quantity in the continuum and at the physical point using twisted-mass lattice QCD. We report our results for the transition form factor parameterized using a model-independent conformal expansion valid for arbitrary space-like kinematics and compare it with experimental measurements of the single-virtual form factor, the two-photon decay width, and the slope parameter. We then use the transition form factors to compute the pion-pole contribution to the hadronic light-by-light scattering in the muon $g-2$, finding $a_μ^{π^0\text{-pole}} = 56.7(3.2) \times 10^{-11}$. |
| title | Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light $π^0$-pole Contribution to the Muon $g-2$ |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.12458 |