To Profile or To Marginalize -- A SMEFT Case Study
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929227547279360 |
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| author | Brivio, Ilaria Bruggisser, Sebastian Elmer, Nina Geoffray, Emma Luchmann, Michel Plehn, Tilman |
| author_facet | Brivio, Ilaria Bruggisser, Sebastian Elmer, Nina Geoffray, Emma Luchmann, Michel Plehn, Tilman |
| contents | Global SMEFT analyses have become a key interpretation framework for LHC physics, quantifying how well a large set of kinematic measurements agrees with the Standard Model. This agreement is encoded in measured Wilson coefficients and their uncertainties. A technical challenge of global analyses are correlations. We compare, for the first time, results from a profile likelihood and a Bayesian marginalization for a given data set with a comprehensive uncertainty treatment. Using the validated Bayesian framework we analyse a series of new kinematic measurements. For the updated dataset we find and explain differences between the marginalization and profile likelihood treatments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_08454 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | To Profile or To Marginalize -- A SMEFT Case Study Brivio, Ilaria Bruggisser, Sebastian Elmer, Nina Geoffray, Emma Luchmann, Michel Plehn, Tilman High Energy Physics - Phenomenology Global SMEFT analyses have become a key interpretation framework for LHC physics, quantifying how well a large set of kinematic measurements agrees with the Standard Model. This agreement is encoded in measured Wilson coefficients and their uncertainties. A technical challenge of global analyses are correlations. We compare, for the first time, results from a profile likelihood and a Bayesian marginalization for a given data set with a comprehensive uncertainty treatment. Using the validated Bayesian framework we analyse a series of new kinematic measurements. For the updated dataset we find and explain differences between the marginalization and profile likelihood treatments. |
| title | To Profile or To Marginalize -- A SMEFT Case Study |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2208.08454 |