Effects of Amplitude Nullification in the Standard Model

Abstract

Delicate cancellations among diagrams can result in the vanishing of threshold amplitudes in the standard model. This phenomenon is investigated for multi-Higgs production by scalar, vector, and fermionic fields. A surprising gap is found where although the tree-level amplitude for $2$ incoming gauge bosons to produce $N_v$ particle may vanish, the amplitude for the production of $N_v+1$ particles is nonzero.

10, 10 pages

References in corpus (7)

• Summing tree graphs at threshold
• Summing One-Loop Graphs at Multi-Particle Threshold
• Summing one-loop graphs in a theory with broken symmetry
• Non-Perturbative Production of Multi-Boson States and Quantum Bubbles
• Zeros of Tree-Level Amplitudes at Multi-Boson Thresholds
• Nullification of multi-Higgs threshold amplitudes in the Standard Model
• Comment on "Summing One-Loop Graphs at Multi-Particle Threshold"

Cited by in corpus (7)

• An upper limit on the scale of new physics phenomena from rising cross sections in high multiplicity Higgs and vector boson events
• The Breakdown of Resummed Perturbation Theory at High Energies
• Multiparticle Amplitudes in a Scalar EFT
• "Isochronic" dynamical systems and nullification of amplitudes
• Multiboson threshold production by fermion-antifermion pair and hidden symmetry
• On threshold amplitudes II: Amplitudes nullification via classical symmetries
• Nullification in scalar theories with derivative couplings