Regularization of three-vertex Feynman diagrams produced by three-point supergraphs

Abstract

The infinity suppression mechanism of the ultraviolet divergences of quantum field theory provided by a non-polynomial interaction Lagrangian is analyzed in connection with some non-hadronic reactions and compared with the usual method of analytic regularization. The action of the three-point supergraph is studied in this context. We have shown that, as a consequence of the action of “gravity”, the propagators become regularized and an average over the regularization parameter replaces the limiting process characteristic of the analytic regularization method. It is found that the resulting “gravity”-modified amplitudes associated with three-vertex Feynman diagrams can be decomposed as a sum of terms of different order in the minor coupling constant. We also investigate possible detectable changes induced by the presence of massless “gravitons” on some relevant leptonic processes.