The boson and fermion particle masses are calculated in a finite quantum field theory. theory satisfies Poincaré invariance, unitarity microscopic causality, all loop graphs to orders of perturbation infinite derivative nonlocal interactions regularized with mass (length) scale parameter $$\Lambda _i$$ . W, Z Higgs from one-loop self-energy graphs. $$W^{\pm }$$ is predicted be $$M_W=80.05$$ GeV...