Revisiting γγ->π^+π^- at low energies

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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34 pages, 8 figures, 6 tables

Scientific paper

10.1016/j.nuclphysb.2006.03.022

We complete the recalculation of the available two-loop expressions for the reaction \gamma\gamma->\pi\pi in the framework of chiral perturbation theory. Here, we present the results for charged pions. The cross section and the values of the dipole polarizabilities agree very well with the earlier calculation, provided the same set of low-energy constants (LECs) is used. With updated values for the LECs at order p^4, we find for the dipole polarizabilities (\alpha_1-\beta_1)_{\pi^\pm} = (5.7\pm 1.0) 10^{-4} fm^3, which is in conflict with the experimental result recently reported by the MAMI Collaboration.

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