Testable likelihoods for beyond-the-standard model fits

Beck, Anja; Reboud, Méril; van Dyk, Danny

Abstract

Studying potential BSM effects at the precision frontier requires accurate transfer of information from low-energy measurements to high-energy BSM models. We propose to use normalising flows to construct likelihood functions that achieve this transfer. Likelihood functions constructed in this way provide the means to generate additional samples and admit a “trivial” goodness-of-fit test in form of a χ2 test statistic. Here, we study a particular form of normalising flow, apply it to a multi-modal and non-Gaussian example, and quantify the accuracy of the likelihood function and its test statistic.

Citation

Beck, A., Reboud, M., & van Dyk, D. (2023). Testable likelihoods for beyond-the-standard model fits. The European Physical Journal C, 83(12), Article 1115. https://doi.org/10.1140/epjc/s10052-023-12294-0

• Journal Article Type: Article
• Acceptance Date: Nov 27, 2023
• Online Publication Date: Dec 8, 2023
• Publication Date: 2023
• Deposit Date: Dec 20, 2023
• Publicly Available Date: Dec 20, 2023
• Journal: The European Physical Journal C
• Print ISSN: 1434-6044
• Electronic ISSN: 1434-6052
• Publisher: SpringerOpen
• Peer Reviewed: Peer Reviewed
• Volume: 83
• Issue: 12
• Article Number: 1115
• DOI: https://doi.org/10.1140/epjc/s10052-023-12294-0
• Public URL: https://durham-repository.worktribe.com/output/2027903