Table 1
SZ flux contamination predictions, in percentage, for some well-known radio relics at different frequencies.
| 3 GHz | 5 GHz | 10 GHz | 15 GHz | 20 GHz | 30 GHz | |
|
|
||||||
| Sausage relic (ℳ = 2.5) | <1% | <1% | 4% | 11% | 24% | 58% |
| (ℳ = 3.5) | <1% | <1% | 3% | 10% | 21% | 49% |
| (ℳ = 4.5) | <1% | <1% | 4% | 12% | 24% | 52% |
| Toothbrush relic (ℳ = 3.5) | <1% | <1% | 3% | 9% | 18% | 43% |
| (ℳ = 4.5) | <1% | <1% | 3% | 10% | 20% | 46% |
| El Gordo relic (ℳ = 2.5) | <1% | 3% | 23% | 53% | 81% | >100% |
| A2256 relic (ℳ = 2.0) | 1% | 3% | 28% | 66% | 96% | >100% |
| Coma relic (ℳ = 2.2) | <1% | <1% | 6% | 21% | 41% | 82% |
Notes.We define the contamination value as C(%) ≡ 100 × (true flux − measured flux)/true flux. The flux correction factor, F, which one should multiply to get the true synchrotron flux values, is therefore F = 100/(100 − C). From this definition, C is equal to the flux ratio between SZ and synchrotron (see Sect. 4.2); 
provided all the fluxes are measured over the same area. In practice, we calculate the observed radio flux by integrating over the area where relic emission is positive, approximating an ideal total-power measurement. A contamination value of more than 100% means that the synchrotron flux is completely overshadowed by the negative SZ signal.
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