The Trace Anomaly in Chiral Dynamics: $γγ\to π^0π^0$ Scattering

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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3 pages, LateX, 0 figures (NOTE: PAPER IS INCORRECT AND IS WITHDRAWN)

Scientific paper

The trace anomaly term in the low energy chiral Lagrangian is established by deriving a low energy theorem for $\gamma \gamma \rightarrow \pi^0\pi^0$ scattering. It contributes to $\sigma(\gamma \gamma \rightarrow \pi^0\pi^0)$ in the same order as the previously computed pion loop contribution. The coherent sum of the two contributions explains the shape of the measured cross section, while the magnitude is determined by the anomalous dimension of the quark mass operator.

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