Constraint on the CRe populations in the case of scenario 1 (distinct CRe₁ and CRe₂ populations, no reacceleration). Top left: radio spectrum of Coma, as compiled from Pizzo (2010) and constraint from the reference CRp spatial model () and the reference CRe₁ spectral model (ExponentialCutoffPowerLaw). The measurement from the Brown & Rudnick (2011) data is also shown as the magenta diamond. The contribution from the CRe₂ is shown in blue together with its 68% confidence interval, and the remaining contribution from CRe₁ is shown in green. The sum of the two is given as the black line. The dashed gray line provide the expected amplitude of the tSZ signal. All fluxes are computed using cylindrical integration within R = 0.48 × R₅₀₀ = 629 kpc ≡ 0.36 deg. Top right: radio profile measured from the WSRT map at 352 GHz and comparison to the reference model. The contributions from CRe₂ and CRe₁ are as in the left panel. Bottom left: absolute number density distributions of CRe₁ and CRe₂ taken at 1 GeV and 10 GeV. Bottom right: ratio between the CRe₁ and CRe₂ number populations. We note that in the case of this figure, the confidence limits where computed using a resampling of only 100 parameters, and are thus not very accurate. We also stress that this figure depends on the magnetic field modeling (see Sect. 7.2 for discussions).