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Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light \\(^0\\)-pole Contribution to the Muon \\(g-2\\)
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Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light \\(^0\\)-pole Contribution to the Muon \\(g-2\\)
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Paper
Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light \\(^0\\)-pole Contribution to the Muon \\(g-2\\)
2024
Overview
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 \\(F_^0(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_^^0-pole = 56.7(3.2) 10^-11\\).
Publisher
Cornell University Library, arXiv.org
Subject
