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Attendance: Shaul, Sebastian, Mathieu, Kris
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Hi Shaul and all,
I'm looking at the equations in the appendix now, and I'm not entirely sure what you're referring to as “not consistent”. Equation A4 defines the Gaussian likeliood, and in this case the free parameters are r and A_l. Equations A2 and A3 defines the GBR estimator, and in this case the free parameters are (at this stage) C_l's, rather than r and A_l. Are you proposing that we should replace C_l in Eq. A2-A3 with the full expression? If so, it's important to note that we are *not* using the (r,A_l) model in the GBR approach, but rather have a grid of models with different r's (and A_l = 1) computed directly with CAMB, so the C_l models aren't the same. In effect, for the Gaussian likelihood analysis one assumes that the BB spectra scale linearly with r all the way from r=1 to 0, and that's obviously not exactly true. That's why we use preer to use a precomputed CAMB grid instead, in which case the non-linearity is taken into account.
If this is what you're referring to, I think it's better to describe this in words, than actually change the equations. Alternatively, it might be cleaner to just replace the big C_l model in Eq. A4 with a general C_l(r,A_l), and then specify in the text that these differ between the two approaches.
Whatever you prefer, I'm leaving for vacation this afternoon, so Mathew should implement this when he gets back. Alternatively, I can clarify this in early August. Irrespective of when it happens, I don't really think that this is a major hold-up to finishing the paper. Rather, what is needed, is *one* person getting full editorial rights for the entire paper, and simply writes it up end-to-end. That can probably be done in a matter of two or three days with continuous writing time. Having individual people write separate section will take very long to converge, I think…
Thanks, and have a nice summer