1997/04/01 by F. A. Berends, F.A Berends, W. T. Giele +1
Physics and Astronomy · Social Sciences · #Amplitude #Coupling (piping) #International Science and Diplomacy #Massless particle #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Scattering #Scattering amplitude #Spin (aerodynamics) #Spins #hep-ph #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00560-9
published as Nucl.Phys. B507 (1997) 157-174 · 19 pages, Latex
arxiv created 1997/04/01 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper the general form of scattering amplitudes for massless particles with equal spins s (s s → s s) or unequal spins (sa sb → sa sb) are derived. The imposed conditions are that the amplitudes should have the lowest possible dimension, have propagators of dimension m-2, and obey gauge invariance. It is shown that the number of momenta required for amplitudes involving particles with s > 2 is higher than the number implied by 3-vertices for higher spin particles derived in the literature. Therefore, the dimension of the coupling constants following from the latter 3-vertices has a smaller power of an inverse mass than our results imply. Consequently, the 3-vertices in the literature cannot be the first interaction terms of a gauge-invariant theory. When no spins s > 2 are present in the process the known QCD, QED or (super) gravity amplitudes are obtained from the above general amplitudes.