Angular zeros of Brown, Mikaelian, Sahdev, and Samuel and the factorization of tree amplitudes in gauge theories
- 1 June 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 23 (11), 2682-2685
- https://doi.org/10.1103/physrevd.23.2682
Abstract
The zero in the angular distribution of the process (discovered by Brown, Mikaelian, Sahdev, and Samuel) when the magnetic moment of the has the Yang-Mills value, is shown to be a consequence of a factorizability of the amplitude into one factor which contains the dependence on the charge or other internal-symmetry indices, and another which contains the dependence on the spin or polarization indices. In gauge theories generally, this factorization is found to hold for any four-particle tree-approximation amplitude, when one or more of the four particles is a gauge-field quantum. The factorization hinges on a "spatial generalized Jacobi identity" obeyed by the polarization-dependent factors of the vertices, in analogy to the generalized Jacobi identity obeyed by the charge-index-dependent factors. We emphasize that observation of the process in collisions or the decay provides a direct test of the prediction of gauge (Yang-Mills) theories for vector-vector-vector couplings, just as much as would .
Keywords
This publication has 3 references indexed in Scilit:
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