Low-energy photon-photon collisions to two loops revisited

Abstract

In view of ongoing experimental activities to determine the pion polarizabilities, we have started to recalculate the available two-loop expressions in the framework of chiral perturbation theory, because they have never been checked before. We make use of the chiral Lagrangian at order p^6 now available, and of improved techniques to evaluate the two-loop diagrams. Here, we present the result for the neutral pions. The cross section for the reaction gamma+gamma->pi0+pi0 agrees with the earlier calculation within a fraction of a percent. We present analytic results for the dipole and quadrupole polarizabilities, and compare the latter with a recent evaluation from data on gamma+gamma->pi0+pi0.

28 pages, 7-eps figures, 1 table

References in corpus (4)

• The < S P P > Green function and SU(3) breaking in K_{l3} decays
• Measurement of the pi^+ meson polarizabilities via the gamma p->gamma pi^+ n reaction
• Radiative corrections in weak semi-leptoni processes at low energy: a two-step matching determination
• Determination of π^0 meson quadrupole polarizabilities from the process γγ-> π^0π^0

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