Integrated cosmological probes: Concordance quantified
  Assessing the consistency of parameter constraints derived from different
cosmological probes is an important way to test the validity of the underlying
cosmological model. In an earlier work [Nicola et al., 2017], we computed
constraints on cosmological parameters for $\Lambda$CDM from an integrated
analysis of CMB temperature anisotropies and CMB lensing from Planck, galaxy
clustering and weak lensing from SDSS, weak lensing from DES SV as well as Type
Ia supernovae and Hubble parameter measurements. In this work, we extend this
analysis and quantify the concordance between the derived constraints and those
derived by the Planck Collaboration as well as WMAP9, SPT and ACT. As a measure
for consistency, we use the Surprise statistic [Seehars et al., 2014], which is
based on the relative entropy. In the framework of a flat $\Lambda$CDM
cosmological model, we find all data sets to be consistent with one another at
a level of less than 1$\sigma$. We highlight that the relative entropy is
sensitive to inconsistencies in the models that are used in different parts of
the analysis. In particular, inconsistent assumptions for the neutrino mass
break its invariance on the parameter choice. When consistent model assumptions
are used, the data sets considered in this work all agree with each other and
$\Lambda$CDM, without evidence for tensions.
