Calculation of processes involving many particles at the kinematical threshold

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages + 2 figures, TPI-MINN-93/01-T

Scientific paper

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 $\lambda\phi^4$ 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 $1/n$.

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