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I thought the CMB value for H0 (measured by the Planck satellite) was already known to be incorrect as the measurements for it did not take into account that the earth is moving through the CMB and only measured in one direction.

This is the big discussion in the astrophysics field at the moment.

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I'm 99% sure this isn't true. Can you point to a single paper that mentions it?

Edit: actually I'm 100% sure this isn't true. See for example the all sky map from planck (http://www.bbc.co.uk/news/special/2013/newsspec_5106/img/pla...). And a paper discussing how they will measure the CMB dipole using planck https://ui.adsabs.harvard.edu/abs/2002A%26A...393..359P/abst...

I stand corrected, the current Planck analysis seems to take in account that we are moving through the CMB rest frame although I need to read a bit more. It's a long paper [1]

It was the earlier Planck measurements that did not account for this.

[1] https://arxiv.org/pdf/1907.12875.pdf

This effect seems to be treated and dismissed as insignificant w/r/t the cosmological parameters, in section 3.11 (page 78) of the paper you reference.

There were a lot of new systematic effects in the Planck data, and a lot of the data analysis work amounted to identifying the most significant ones and modeling them out.

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