Properties of perturbative multi-particle amplitudes in $φ^k$ and $O(N)$ theories

Details Properties of perturbative multi-particle amplitudes in $φ^k$ and $O(N)$ theories Properties of perturbative multi-particle amplitudes in $φ^k$ and $O(N)$ theories

1992-11-11

arxiv.org/abs/hep-ph/9211238v1

Phys.Rev. D47 (1993) 3521-3524

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, LaTex, TPI-MINN-92/60-T

Scientific paper

10.1103/PhysRevD.47.3521

Threshold amplitudes are considered for multi-particle production in $\phi^k$ and $O(N) ~\phi^4$ theories. It is found that the disappearance of tree-level threshold amplitudes of $2$ on-shell particles producing a large number of particles occurs in $\phi^k$ theory only for $k=3$ and $k=4$. The one-loop correction to the threshold amplitude for a highly virtual scalar particle decaying into $n$ particles in an $O(N)$ model is derived.

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