Multiscalar amplitudes to all orders in perturbation theory

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1016/0370-2693(93)91287-W

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 $\phi^4$-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.

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