Xu Feng, Sinya Aoki, Hidenori Fukaya, Shoji Hashimoto, Takashi Kaneko, Jun-ichi Noaki, Eigo Shintani
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, we obtain \Gamma=7.83(31)(49) eV for the pion decay width.
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http://arxiv.org/abs/1206.1375
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