Light-Meson Two-Photon Decays in Full QCD
Saul D. Cohen, Huey-Wen Lin, Jozef Dudek, Robert G. Edwards
TL;DR
This paper investigates the two-photon decay of light mesons, especially the neutral pion, using lattice QCD techniques to understand the axial anomaly's role in these processes.
Contribution
It introduces a lattice QCD approach employing the LSZ reduction formula to compute electromagnetic matrix elements for meson decays.
Findings
First lattice QCD calculation of neutral pion two-photon decay
Demonstrates the effectiveness of LSZ reduction in lattice computations
Provides insights into axial anomaly effects in light meson decays
Abstract
We present a study of two-photon decays of light mesons, focusing on the neutral pion decay. This important process highlights the effects of the axial anomaly in QCD but has been little studied on the lattice. By applying the Lehmann-Symanzik-Zimmermann (LSZ) reduction formula, we reconstruct the electromagnetic matrix elements from three-point vector-vector Green functions calculated on 2+1-flavor isotropic clover lattices.
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