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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.06086 |
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| _version_ | 1866914182958415872 |
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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 |