arXiv subjects

Brian Hendee Smith

Publications and source records attributed to Brian Hendee Smith.

2 recordsLinked to original sources

arXiv1993

Effects of Amplitude Nullification in the Standard Model

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.

hep-ph↗

arXiv1993

Calculation of processes involving many particles at the kinematical threshold

A diagrammatic technique is derived for calculating processes involving the production of large numbers of particles. As an example, the amplitude of three particles scattering into $n$ particles at the kinematical threshold in $λϕ^4$ theory is calculated. From the $3 \to n$ amplitude, it is seen that the one-loop amplitude for $2 \to n$ processes is suppressed by a factor of $1/n$.

hep-ph↗