%0 Journal Article %1 Shintani2011Twophoton %A Shintani, E. %A Aoki, S. %A Hashimoto, S. %A Onogi, T. %A Yamada, N. %D 2011 %K g-2 %T Two-photon decay of \$\pi^0\$ from two-flavor lattice QCD %U http://arxiv.org/abs/1102.5544 %X We study the correction to the radiative \$\pi^0\$ decay width due to finite light quark mass. Using lattice QCD with the overlap fermion formulation, we calculate the three-point function of the form \$<PV\_V\_\nu>\$ in the (Euclidean) momentum space, which corresponds to the \$\pi^0\rightarrow \gamma^*\gamma^*\$ amplitude. To fit the lattice data, we use two different modifications of vector meson dominance (VMD) ansatz. One is a combined form of VMD with the next-to-leading order (NLO) chiral perturbation theory (ChPT), and the other is a resummed form of pion-loop diagrams. We extract one of the low energy constants in NLO ChPT, and estimate \$\pi^0\gamma\gamma\$ decay width including finite mass correction.

@article{Shintani2011Twophoton, abstract = {{We study the correction to the radiative \$\pi^0\$ decay width due to finite light quark mass. Using lattice QCD with the overlap fermion formulation, we calculate the three-point function of the form \$\<PV\_\mu V\_\nu\>\$ in the (Euclidean) momentum space, which corresponds to the \$\pi^0\rightarrow \gamma^*\gamma^*\$ amplitude. To fit the lattice data, we use two different modifications of vector meson dominance (VMD) ansatz. One is a combined form of VMD with the next-to-leading order (NLO) chiral perturbation theory (ChPT), and the other is a resummed form of pion-loop diagrams. We extract one of the low energy constants in NLO ChPT, and estimate \$\pi^0\rightarrow \gamma\gamma\$ decay width including finite mass correction.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Shintani, E. and Aoki, S. and Hashimoto, S. and Onogi, T. and Yamada, N.}, biburl = {https://www.bibsonomy.org/bibtex/25e3dc49f45656929b0a8f4c328a71377/cmcneile}, citeulike-article-id = {10329189}, citeulike-linkout-0 = {http://arxiv.org/abs/1102.5544}, citeulike-linkout-1 = {http://arxiv.org/pdf/1102.5544}, day = 2, eprint = {1102.5544}, interhash = {d61cb83003b1e3b28ecca7424ec79925}, intrahash = {5e3dc49f45656929b0a8f4c328a71377}, keywords = {g-2}, month = apr, posted-at = {2012-02-09 09:59:33}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Two-photon decay of \$\pi^0\$ from two-flavor lattice QCD}}, url = {http://arxiv.org/abs/1102.5544}, year = 2011 }