Tree amplitudes at multiparticle threshold in a model with softly broken $O(2)$ symmetry

Abstract

Tree amplitudes of the production of two kinds of scalar particles at threshold from one virtual particle are calculated in a model of two scalar fields with $O(2)$ symmetric quartic interaction and unequal masses. These amplitudes exhibit interesting factorial and exponential behaviour at large multiplicities. As a by-product we observe that the kinematically allowed decay of one real particle into $n$ real particles of another kind, all at rest, has zero tree amplitude in this model for $n>2$.

17 pages. Preprint INR-823/93

References in corpus (4)

• Summing One-Loop Graphs at Multi-Particle Threshold
• Non-Perturbative Production of Multi-Boson States and Quantum Bubbles
• Multiscalar amplitudes to all orders in perturbation theory
• Some Properties of Amplitudes at Multi Boson Thresholds in Spontaneously Broken Scalar Theory

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• Suppression exponent for multiparticle production in $\lambda {\varphi }^4$ theory
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• Exact Multiparticle Amplitudes at Threshold in ${\varphi }^4$ Theories with Softly Broken $O(\infty )$ Symmetry
• "Isochronic" dynamical systems and nullification of amplitudes
• Multiparticle tree amplitudes in scalar field theory