Integrable systems away from critically: The Toda field theory and S-matrix of the tricritical Ising model

The tricritical Ising model, considered as coset construction with the exceptional group E7, is analyzed away from criticality. The additional conserved currents of the corresponding Toda system imply the factorization of the S-matrix, explicitly computed. We discuss the origin of higher-order poles on the physical sheet of the scattering amplitudes and their relevance to the three-point couplings of the theory