Speaker
Description
We introduce a novel estimator to quantify statistical tensions among multiple cosmological datasets simultaneously. This estimator generalizes the Difference-in-Means statistic, QDM, to the multi-dataset regime. Our framework enables the detection of dominant tension directions in the shared parameter space. It further provides a geometric interpretation of the tension for the two- and three-dataset cases in two dimensions. According to this approach, the previously reported increase in tension between DESI and Planck from 1.9 $\sigma$ (DR1) to 2.3 $\sigma$(DR2) is reinterpreted as a more modest shift from 1.18 $\sigma_{\ eff}$ (DR1) to 1.45 $\sigma_{\ eff}$ (DR2). These new tools may also prove valuable across research fields where dataset discrepancies arise.