$γγ\to π^0 π^0$ as a test for the existence of a light $σ$ meson

Physics – High Energy Physics – High Energy Physics - Phenomenology

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7 pages, 3 figures. The sigma width is introduced in a consistent way with chiral symmetry. Results for the cross section are

Scientific paper

We work out predictions of the Linear Sigma Model for the $\gamma \gamma \to\pi^0 \pi^0$ cross section. We consider the sigma width, which is introduced in a consistent way with chiral Ward identities. The results of Chiral Perturbation Theory are recovered in the $m_\sigma \to \infty$ limit. A fit to existing experimental results is consistent with a light and broad $\sigma$ meson.

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