Partial wave amplitudes and multiparticle production

Abstract

Recursion relations for integrals of amplitudes over the phase space, i.e. for partial wave amplitudes, are introduced. In their simplest form these integrals are proportional to the s-wave amplitudes and represent rigorous lower bounds on the total cross sections. The connection with classical field equations in $D$ dimensions is established. Previous results on multiparticle amplitudes are easily reproduced.

7 pages, CERN-TH.6971/93, (typing errors corrected)

References in corpus (9)

• Summing tree graphs at threshold
• Summing One-Loop Graphs at Multi-Particle Threshold
• Summing one-loop graphs in a theory with broken symmetry
• Zeros of Tree-Level Amplitudes at Multi-Boson Thresholds
• Multiscalar amplitudes to all orders in perturbation theory
• Multiscalar production amplitudes beyond threshold
• Nullification of multi-Higgs threshold amplitudes in the Standard Model
• On amplitude zeros at threshold
• Properties of perturbative multi-particle amplitudes in ${\varphi }^k$ and $O(N)$ theories

Cited by in corpus (2)

• Semiclassical approach for multiparticle production in scalar theories
• Nullification in scalar theories with derivative couplings