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201720182019202010
Abstract: (arXiv)
In an earlier paper we have proposed a novel method to compute the decay width for a general 1n1\to n cascade decay where the propagators are off-shell and may be of different spins. Here, we extend our algorithm to accommodate those decays that are mediated by more than one such cascades. This generalizes our prescription and widens its applicability. We compute the three- and four-body toy decay chains where identical final states appear through different cascades. Here, we also provide the algorithm to calculate the interference terms. For four-body decays we discuss both symmetric and asymmetric cascades, providing the expressions for the detailed phase space structure in each case. We find that the results obtained with this algorithm have a very impressive agreement with those from standard softwares using a sophisticated Monte Carlo based phase space integration.
Note:
  • 21 pages, 11 figures, pdflatex
  • cascade decay
  • phase space
  • propagator: off-shell
  • mediation
  • off-shell
  • interference
  • programming
  • Monte Carlo
  • numerical calculations
  • new physics