Summing one-loop graphs in a theory with broken symmetry

Abstract

The method suggested by Lowell Brown for calculating multi-particle threshold amplitudes is extended to the one-loop level in scalar theories with broken reflection symmetry. A result for the threshold amplitude for multiparticle production is derived. It is also shown that the tree-level amplitude for 2 on-mass-shell particles producing n particles vanishes at the kinematical threshold for n>2

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