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Then, we calculate, for the first time, the T-matrix of the $Z^0 \\rightarrow \\gamma +\\gamma $ process in which the vertex of the $\\gamma^\\mu \\gamma_5$ is responsible for the decay of the weak vector boson. Even though the decay rate itself vanishes to zero due to the symmetry nature of two photons (Landau-Yang theorem), the T-matrix of the process has neither linear nor logarithmic divergences. 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