Abstract
We derive the spin dependence of mass and of decay width of elementary particles described by infinite-component fields transforming irreducibly under $\mathrm{SL}(2,C)(\mathrm{Majorana})\ensuremath{\bigotimes}\mathrm{SL}(2,C)(\mathrm{Dirac})\ifmmode\times\else\texttimes\fi{}{T}_{4}$ representations. The fields describing the unstable particles are certain operator-valued distributions whose Fourier transforms are defined in the complex-momentum space via analytic continuation, and classification under the nonunitary Poincar\'e group is used to characterize the decay widths.
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