A new measure of tension between experiments [CEA]

http://arxiv.org/abs/1806.04292


Tensions between cosmological measurements by different surveys or probes have always been important — and are presently much discussed — as they may lead to evidence of new physics. Several tests have been devised to probe the consistency of datasets given a cosmological model, but they often have undesired features such as dependence on the Bayesian priors given to parameters, or burdensome requirements such as that of near-Gaussian posterior distributions. We propose a new quantity, defined in a similar way as the Bayesian evidence ratio and therefore calibrated on the familiar Jeffreys scale, in which these undesired properties are absent. We test the quantity on simple models with Gaussian and non-Gaussian likelihoods. We then apply it to data from the Planck satellite: we investigate the consistency of the TT and EE angular power spectrum measurements, as well as the mutual consistency of small- and large-angle portion of each measurement, finding mild ($\sim$2-3$\,\sigma$) discrepancies in agreement with previous work.

Read this paper on arXiv…

S. Adhikari and D. Huterer
Wed, 13 Jun 18
11/57

Comments: 5 pages, 2 figures; comments welcome!