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 $$\chi ^2$$ 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.
{ "_oai": { "updated": "2024-03-26T03:32:48Z", "id": "oai:repo.scoap3.org:81993", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "UK", "value": "Department of Physics, University of Warwick, Coventry, CV4 7AL, UK", "organization": "University of Warwick" } ], "surname": "Beck", "email": "anja.beck@cern.ch", "full_name": "Beck, Anja", "given_names": "Anja" }, { "affiliations": [ { "country": "UK", "value": "Institute for Particle Physics Phenomenology and Department of Physics, Durham University, Durham, DH1 3LE, UK", "organization": "Durham University" } ], "surname": "Reboud", "email": "merilreboud@gmail.com", "full_name": "Reboud, M\u00e9ril", "given_names": "M\u00e9ril" }, { "affiliations": [ { "country": "UK", "value": "Institute for Particle Physics Phenomenology and Department of Physics, Durham University, Durham, DH1 3LE, UK", "organization": "Durham University" } ], "surname": "Dyk", "email": "danny.van.dyk@gmail.com", "full_name": "Dyk, Danny", "given_names": "Danny" } ], "titles": [ { "source": "Springer", "title": "Testable likelihoods for beyond-the-standard model fits" } ], "dois": [ { "value": "10.1140/epjc/s10052-023-12294-0" } ], "publication_info": [ { "page_end": "9", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "83", "artid": "s10052-023-12294-0", "year": 2023, "page_start": "1", "journal_issue": "12" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-03-26T03:31:45.651689", "source": "Springer", "method": "Springer", "submission_number": "202ab3aaeb2111eeae4696b6a0e1ccbd" }, "page_nr": [ 9 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "81993", "record_creation_date": "2023-12-08T21:30:19.205130", "_files": [ { "checksum": "md5:7a5cfa3c6b4981180adb5480b684caf3", "filetype": "xml", "bucket": "7c9ee216-2938-4dea-be15-33a3ddd097fa", "version_id": "31814628-cd7a-4724-b862-992bd24b9ddf", "key": "10.1140/epjc/s10052-023-12294-0.xml", "size": 12712 }, { "checksum": "md5:c38a472ecb95e788f2866e28611edbb8", "filetype": "pdf/a", "bucket": "7c9ee216-2938-4dea-be15-33a3ddd097fa", "version_id": "56bc29cf-a8e0-4e25-a8db-814220d5f181", "key": "10.1140/epjc/s10052-023-12294-0_a.pdf", "size": 3494982 } ], "collections": [ { "primary": "European Physical Journal C" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "cs.LG" ], "value": "2309.10365" } ], "abstracts": [ { "source": "Springer", "value": "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 \u201ctrivial\u201d goodness-of-fit test in form of a $$\\chi ^2$$ <math> <msup> <mi>\u03c7</mi> <mn>2</mn> </msup> </math> 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." } ], "imprints": [ { "date": "2023-12-08", "publisher": "Springer" } ] }