Calculation of processes involving many particles at the kinematical threshold

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A diagrammatic technique is derived for calculating processes involving the production of large numbers of particles. As an example, the amplitude of three particles scattering into $n$ particles at the kinematical threshold in $λϕ^4$ theory is calculated. From the $3 \to n$ amplitude, it is seen that the one-loop amplitude for $2 \to n$ processes is suppressed by a factor of $1/n$.
9 pages + 2 figures, TPI-MINN-93/01-T

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