Generalized tension metrics for multiple cosmological datasets

Fuente: arXiv
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Autori principali: Leizerovich, Matías, Landau, Susana J., Scóccola, Claudia G.
Natura: Preprint
Pubblicazione: 2025
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author Leizerovich, Matías
Landau, Susana J.
Scóccola, Claudia G.
author_facet Leizerovich, Matías
Landau, Susana J.
Scóccola, Claudia G.
contents We introduce a novel estimator to quantify statistical tensions among multiple cosmological datasets simultaneously. This estimator generalizes the Difference-in-Means statistic, $Q_{\rm DM}$, 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 $1.9σ$ (DR1) to $2.3σ$(DR2) is reinterpreted as a more modest shift from $1.18σ^{\rm eff}$ (DR1) to $1.45σ^{\rm eff}$ (DR2). These new tools may also prove valuable across research fields where dataset discrepancies arise.
format Preprint
id arxiv_https___arxiv_org_abs_2512_06086
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized tension metrics for multiple cosmological datasets
Leizerovich, Matías
Landau, Susana J.
Scóccola, Claudia G.
Cosmology and Nongalactic Astrophysics
Instrumentation and Methods for Astrophysics
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Data Analysis, Statistics and Probability
We introduce a novel estimator to quantify statistical tensions among multiple cosmological datasets simultaneously. This estimator generalizes the Difference-in-Means statistic, $Q_{\rm DM}$, 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 $1.9σ$ (DR1) to $2.3σ$(DR2) is reinterpreted as a more modest shift from $1.18σ^{\rm eff}$ (DR1) to $1.45σ^{\rm eff}$ (DR2). These new tools may also prove valuable across research fields where dataset discrepancies arise.
title Generalized tension metrics for multiple cosmological datasets
topic Cosmology and Nongalactic Astrophysics
Instrumentation and Methods for Astrophysics
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Data Analysis, Statistics and Probability
url https://arxiv.org/abs/2512.06086