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I'm investigating the current crisis in Cosmology. I saw Dr. Becky quote the Hubble Constant, $H_0$, from Supernovae (SNe Ia) as 74.03. I'd like to punch the latest figures into my models. Does anyone know where I can find a recent paper on the current state of the Cosmological Parameters derived from SNe Ia as I'm still using the values from the 1998 paper.

In particular, I'm looking for the value for the matter density, $\Omega_M$, that I can use with this value for $H_0$ in modelling luminous distances.

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Planck 2018, page 15 has many cosmological parameters, however the Hubble constant differs from local measurements Riess, 2020 and Riess 2019

You might also want to look at Betoule that is more specifically about parameters from supernovae.

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  • $\begingroup$ I read the paper by Riess, but I didn't see any of the density parameters. Did you find them anywhere? $\endgroup$
    – Gluon Soup
    Aug 17, 2021 at 18:50
  • $\begingroup$ The Betroule report does include the density parameters, but has an $H_0$ of $70.5$, so I don't see how it could be related to Riess's value of 74.02. $\endgroup$
    – Gluon Soup
    Aug 17, 2021 at 19:06
  • $\begingroup$ @Gluon Soup Riess wanted to determine $H_0$ by the local method but doesn't find $\Omega_M$ . ($H_0$ from BAO and Concordance model gives significantly lower, that's the crisis). Planck measured $\Omega_Mh^2$ accurately and got 0.143, so can be used with the favourite $h$ to find $\Omega_M$... $\endgroup$
    – John Hunter
    Aug 18, 2021 at 8:16
  • $\begingroup$ @Gluon Soup P.S. The crisis is interesting as it might lead to new physics. For a personal solution, that unfortunately seems impossible to publish, please see physics.stackexchange.com/questions/620794/… or vixra.org/pdf/2006.0209v1.pdf the theory accounts for why $\Omega_M$ is between 0.25 and 0.333 (depending on the type of investigation) and has a solution to the Hubble tension. All the best $\endgroup$
    – John Hunter
    Aug 18, 2021 at 8:20

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