Multiscalar amplitudes to all orders in perturbation theory
E. N. Argyres, Ronald H. P. Kleiss, Costas G. Papadopoulos
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 ϕ4-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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