Construction of the eta->3pi (and K->3pi) amplitudes using dispersive approach

Abstract

The dispersive approach based only on very general principles, unitarity, analyticity and crossing symmetry, combined with chiral counting enables to construct fully relativistic model-independent representations of the eta and K three-pion decays valid up to and including two-loop corrections. Here we demonstrate the procedure on the eta->3pi^0 decay. We perform possible matchings of our dispersive approach with the two-loop ChPT result and briefly discuss corresponding predictions of the Dalitz plot slope parameter alpha.

Comments: To appear in the proceedings of "6th International Workshop on Chiral Dynamics", CD09, July 2009, Bern, Switzerland. 6 pages. PoS style