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Two-photon decay of the neutral pion in lattice QCD
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We perform non-perturbative calculation of the \pi^0 to {\gamma}{\gamma} transition form factor and the associated decay width using lattice QCD. The amplitude for two-photon final state, which is not an eigenstate of QCD, is extracted through an Euclidean time integral of the relevant three-point function. We utilize the all-to-all quark propagator technique to carry out this integral as well as to include the disconnected quark diagram contributions. The overlap fermion formulation is employed on the lattice to ensure exact chiral symmetry on the lattice. After examining various sources of systematic effects except for possible discretization effect, we obtain \Gamma=7.83(31)(49) eV for the pion decay width, where the first error is statistical and the second is our estimate of the systematic error.
Forward citations
Cited by 2 Pith papers
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Pion Transition Form Factor in Lattice QCD
The disconnected quark-loop contribution to the pion transition form factor has the same sign as the connected contribution, at roughly 1% of its size, as calculated on one N_f=2+1 clover ensemble.
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New axion contribution to the two-photon decays of neutral pions
Axion-pion mixing adds a new next-to-leading-order term to the pi0 to gamma gamma decay width that is negligible for standard light axions but may matter for MeV-scale heavy axions.
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