Abstract
Two-photon decays probe the structure of mesons and represent an important contribution to hadronic light-by-light scattering. For the neutral pion, the decay amplitude tests the effects of the chiral anomaly; for a heavy quarkonium state, it measures the magnitude of its wave function at the origin. We rederive the expression of the decay amplitude in terms of a Euclidean correlation function starting from the theory defined on the torus. The derivation shows that for timelike photons the approach to the infinite-volume decay amplitude is exponential in the periodic box size.
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Communicated by S. Hands
Contribution to the Topical Issue “Lattice Field Theory Methods in Hadron and Nuclear Physics” edited by Simon Hands and Hartmut Wittig.
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Meyer, H.B. Lattice QCD and the two-photon decay of the neutral pion. Eur. Phys. J. A 49, 84 (2013). https://doi.org/10.1140/epja/i2013-13084-9
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DOI: https://doi.org/10.1140/epja/i2013-13084-9