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.
%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
}