Asymptotic behavior of feynman graphs for quasielastic processes

A simple prescription is given for finding the asymptotic behavior of any graph with integral spin in the $t$-channel from its topology for quasielastic small-angle scattering at high energies in the theory $L=g\overline{\psi}\gamma^5\psi\varphi+h\varphi^4$. If the graph has two-particle divisions in the $t$-channel, the recipe is very similar to that obtained, in [1-3] for elastic scattering. The asymptotic behavior of the graph is given by a power of the logarihm of $s$. For the contribution with posifive signature this power is essentially determined by the number of two-panicle divisions in the $t$-channel. “Pinch”-type contributions appear for negative signature. Graphs that do not have two-particle divisions in the $t$-channel decrease asymptotically as a power of $s$.