Low-Energy Photon-Photon Collisions to Two-Loop Order

Abstract

We evaluate the amplitude for $\gamma \gamma \to {\pi }^0{\pi }^0$ to two loops in chiral perturbation theory. The three new counterterms which enter at this order in the low-energy expansion are estimated with resonance saturation. We find that the cross section agrees rather well with the available data and with dispersion theoretic calculations even substantially above threshold. Numerical results for the Compton cross section and for the neutral pion polarizabilities are also given to two-loop accuracy.

48 pages, LaTex, 11 figs. (figures not included; available upon request from [email protected]),BUTP-93/18,LNF-93/077(P),PSI-PR-93-17

References in corpus (4)

• Recent Developments in Chiral Perturbation Theory
• What $\pi -\pi$ Scattering Tells Us About Chiral Perturbation Theory
• Photon-Photon Scattering, Pion Polarizability and Chiral Symmetry
• K_S\rightarrow γγ, K_L\rightarrowπ^0γγ$ and Unitarity

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