Reggeon rescattering in the $\varphi^4$ theory

In the $\alpha$-representation all logarithms of the Mandelstam diagram in the $\varphi^4$- theory are summed up. It is shown that in spite of the absence of rapid decreasing of the off-shell scattering amplitude, the rescatterings of the Regge poles as well as the fixed square-root branching points, which are present in the $\varphi^4$-theory together with the Regge poles, are correctly described by the usual formula.