Comparison With Challinor and Lasenby

Challinor and Lasenby (astro-ph/9711028) give the following formula for SZ20 (from their eq 2.14)



which we verify is equivalent to our computation



Challinor and Lasenby have also computed the next order term


To check that we have transcribed it correctly check that the Rayleigh-Jeans limit is correct



So the according to Challinor and Lasenby the 3rd order S-Z distortion is


Now plot the order results




and comparing with Rephaeli' s numerical results







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