Abstract
We consider scenario of the dark matter consisting of two fractions, stable part being dominant and a smaller unstable fraction, which has decayed after the recombination epoch. It has been suggested in ref. [1] that the above scenario may alleviate tension between high-redshift (CMB anisotropy) and low-redshift (cepheid variables and SNe Ia, cluster counts) cosmological measurements. We derive constraints on the heavy relics branching to qq̄, e+e−, μ+μ−, τ+τ−, νeν̄e, νμν̄μ, W+W− and γγ in the above scenario by comparison of the secondary γ and ν fluxes produced by the process with recent diffuse γ and ν flux measurements and show that the model is excluded for DM masses larger than 600 GeV if there is no decay of DM to invisible radiation.
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