Multiscalar amplitudes to all orders in perturbation theory

Abstract

A method for calculating loop amplitudes at the multiboson threshold is presented, based on Feynman-diagram techniques. We explicitly calculate the one-loop amplitudes in both ${\varphi }^4$-symmetric and broken symmetry cases, using dimensional regularization. We argue that, to all orders in the perturbation expansion, the unitarity-violating behaviour of the tree-order amplitudes persists.

7 pages, Latex, CERN-TH.6852/93

References in corpus (4)

• Summing One-Loop Graphs at Multi-Particle Threshold
• Summing one-loop graphs in a theory with broken symmetry
• Multiscalar production amplitudes beyond threshold
• Some Properties of Amplitudes at Multi Boson Thresholds in Spontaneously Broken Scalar Theory

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