Zeros of Tree-Level Amplitudes at Multi-Boson Thresholds

Abstract

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.

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

References in corpus (3)

• Summing tree graphs at threshold
• Summing One-Loop Graphs at Multi-Particle Threshold
• Comment on "Summing One-Loop Graphs at Multi-Particle Threshold"

Cited by in corpus (23)

• Anomaly and quantum corrections to solitons in two-dimensional theories with minimal supersymmetry
• Degenerate Domain Wall Solutions in Supersymmetric Theories
• Exponentiation of Multiparticle Amplitudes in Scalar Theories
• Exponentiation of multiparticle amplitudes in scalar theories. II. Universality of the exponent
• An upper limit on the scale of new physics phenomena from rising cross sections in high multiplicity Higgs and vector boson events
• Remarks on double Higgs boson production by gluon fusion at threshold
• Multiscalar production amplitudes beyond threshold
• Properties of perturbative multi-particle amplitudes in ${\varphi }^k$ and $O(N)$ theories
• 2 \to n threshold production at tree level
• Zeros of tree amplitudes at rest and symmetries of mechanical systems
• Loops with heavy particles in multi Higgs production amplitudes
• Effects of Amplitude Nullification in the Standard Model
• Measuring the Higgsplosion Yield: Counting Large Higgs Multiplicities at Colliders
• The Breakdown of Resummed Perturbation Theory at High Energies
• Exact Multiparticle Amplitudes at Threshold in Large-N Component phi^4 Theory
• On the nullification of threshold amplitudes
• Multiparticle Amplitudes in a Scalar EFT
• Partial wave amplitudes and multiparticle production
• "Isochronic" dynamical systems and nullification of amplitudes
• Multiboson threshold production by fermion-antifermion pair and hidden symmetry
• Nullification in scalar theories with derivative couplings
• On threshold amplitudes II: Amplitudes nullification via classical symmetries
• Multiparticle tree amplitudes in scalar field theory