Dispersive Approach to Chiral Perturbation Theory

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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25 pages, 1 figure; added one appendix and correction of typos

Scientific paper

10.1103/PhysRevD.78.116016

We generalise the reconstruction theorem of Stern, Sazdjian, and Fuchs based on the dispersion relations to the case of the (2 -> 2) scattering of all the pseudoscalar octet mesons (pi, K, eta). We formulate it in a general way and include also a discussion of the assumptions of the theorem. It is used to obtain the amplitudes of all such processes in the isospin limit to the one-loop order (and can be straightforwardly extended to two loops) independently on the particular power-counting scheme of the chiral perturbation theory in question. The results in this general form are presented.

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