$π^0$ to two-photon decay in lattice QCD

Details $π^0$ to two-photon decay in lattice QCD $π^0$ to two-photon decay in lattice QCD

2009-12-02

arxiv.org/abs/0912.0253v1

PoS LAT2009:246,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages. Talk presented at The XXVII International Symposium on Lattice Field Theory, July 26-31 2009, Peking University, Beij

Scientific paper

We calculate the neutral pion ($\pi^0$) to off-shell two photon ($\gamma^*\gamma^*$) transition form factor in lattice QCD. The transition form factor can be extracted from the three-point function of the form (axial-vector)-(vector)-(vector) as a function of off-shell two-photon momentum. Since the axial-anomaly plays an important role in the $\pi^0\to\gamma\gamma$ decay process, we employ the overlap fermion, which preserves the exact chiral symmetery on the lattice. After extrapolating to the chiral and the vanishing photon momentum limit with a fit function based on vector meson dominance (VMD) model, we find that the Adler-Bell-Jackiw anomaly is correctly reproduced.

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