Zeros of Tree-Level Amplitudes at Multi-Boson Thresholds

Details Zeros of Tree-Level Amplitudes at Multi-Boson Thresholds Zeros of Tree-Level Amplitudes at Multi-Boson Thresholds

1992-10-19

arxiv.org/abs/hep-ph/9210244v1

Phys.Rev. D47 (1993) 2573-2577

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX, TPI-MINN-92/56-T

Scientific paper

10.1103/PhysRevD.47.2573

Propagation of particles with emission of arbitrary number of identical bosons all being at rest is considered. It is shown that in certain models the tree-level amplitudes for production of $n$ scalar bosons by two incoming particles are all equal to zero at the threshold starting from some small number $n$. In particular this nullification occurs for production of massive scalars by two Goldstone bosons in the linear sigma model for $n > 1$ and also for production of Higgs bosons in the Standard Model by gauge bosons and/or by fermions, provided that the ratia of their masses to that of the Higgs boson take special discrete values.

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