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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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48 pages, LaTex, 11 figs. (figures not included; available upon request from sainio@finuhcb.bitnet),BUTP-93/18,LNF-93/077(P),P

Scientific paper

10.1016/0550-3213(94)90566-5

We evaluate the amplitude for $\gamma \gamma \rightarrow \pi^0 \pi^0$ 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.

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