$\gamma \gamma \to \pi \pi \pi$ to One Loop in Chiral Perturbation Theory

Abstract

The $\gamma \gamma \to {\pi }^0{\pi }^0{\pi }^0$ and $\gamma \gamma \to {\pi }^{+}{\pi }^{-}{\pi }^0$ amplitudes are discussed in the general context of Chiral Perturbation Theory (ChPT) to $O(p^6)$. Chiral loops are found to play a major role. This makes these processes a good test of ChPT, mainly in its anomalous sector. We correct earlier numerical results at tree level and determine the one-loop results as well.

12 pages, 2 postscript figures, uses epsfig.sty. The cross-section for the neutral channel has been corrected but the main conclusions have not changed

References in corpus (2)

• Low-Energy Photon-Photon Collisions to Two-Loop Order
• Cross section for $\gamma \gamma \to {\pi }^{+}{\pi }^{-}{\pi }^0$ in chiral perturbation theory

Cited by in corpus (6)

• Low-energy photon-photon fusion into three pions in Generalized Chiral Perturbation Theory
• Near threshold radiative 3$\pi$ production in $e^{+}{e}^{-}$ annihilation
• Chiral-loop and vector-meson contributions to eta -> pi pi gamma gamma decays
• The role of chiral loops in $\eta \to {\pi }^0{\pi }^0\gamma \gamma$
• Phenomenological model for the $\gamma \gamma \to {\pi }^{+}{\pi }^{-}{\pi }^0$ reaction
• Neural network analysis for gamma gamma -> 3pi at Daphne