Mass - Ysz relation
Ysz ~ M^(5/3) E(z)^(2/3)¶

full sample¶

check on each individual redshift slice without projection¶

Here we show the result comparable to Nagai 2006.
The fitting formular is Y=A*10^-6*(M/1e14 Msun)^alpha

And the Ysz-Mass relation with corrections is here

The high redshift clusters has larger scatter?

check on each individual redshift slice with projection¶

And the Ysz-Mass relation with corrections is here

high mass sample

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projection along line-of-sight¶

We show the effect from the projection of Ysz in the lightcone.
We see that the projection has larger impact on low redshift.