We present a novel unbinned method to combine B ± → DK ± and charm threshold data for the amplitude-model unbiased measurement of the CKM angle γ in cases where the D meson decays to a three-body final state. The new unbinned approach avoids any kind of integration over the D Dalitz plot, to make optimal use the available information. We verify the method with simulated signal data where the D decays to K S π + π − . Using realistic sample sizes, we find that the new method reaches the statistical precision on γ of an unbinned model-dependent fit, i.e. as good as possible and better than the widely used model-independent binned approach, without suffering from biases induced by a mis-modeled D decay amplitude.
{ "_oai": { "updated": "2024-01-09T09:26:36Z", "id": "oai:repo.scoap3.org:80007", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Australia", "value": "Monash University, Melbourne, Australia", "organization": "Monash University" }, { "country": "UK", "value": "University of Manchester, Manchester, U.K.", "organization": "University of Manchester" } ], "surname": "Lane", "email": "jake.lane@cern.ch", "full_name": "Lane, Jake", "given_names": "Jake" }, { "affiliations": [ { "country": "UK", "value": "University of Manchester, Manchester, U.K.", "organization": "University of Manchester" } ], "surname": "Gersabeck", "email": "evelina.gersabeck@cern.ch", "full_name": "Gersabeck, Evelina", "given_names": "Evelina" }, { "affiliations": [ { "country": "UK", "value": "University of Bristol, Bristol, U.K.", "organization": "University of Bristol" } ], "surname": "Rademacker", "email": "jonas.rademacker@bristol.ac.uk", "full_name": "Rademacker, Jonas", "given_names": "Jonas" } ], "titles": [ { "source": "Springer", "title": "A novel unbinned model-independent method to measure the CKM angle \u03b3 in B \u00b1 \u2192 DK \u00b1 decays with optimised precision" } ], "dois": [ { "value": "10.1007/JHEP09(2023)007" } ], "publication_info": [ { "page_end": "20", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP09(2023)007", "year": 2023, "page_start": "1", "journal_issue": "9" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-12-25T00:31:48.124812", "source": "Springer", "method": "Springer", "submission_number": "bce29c1aa2bc11eea49c8e4864f4776e" }, "page_nr": [ 20 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "80007", "record_creation_date": "2023-09-01T18:30:17.874032", "_files": [ { "checksum": "md5:6e42467b5b0d835b02478055c93de254", "filetype": "xml", "bucket": "bfdf56ba-d353-4aac-b648-3462a99fe7ee", "version_id": "8a782652-fa61-4b9f-9f73-aa2b665c4dd2", "key": "10.1007/JHEP09(2023)007.xml", "size": 13072 }, { "checksum": "md5:6e3b6a3c003302d06b7eb4ca7f72f6a4", "filetype": "pdf/a", "bucket": "bfdf56ba-d353-4aac-b648-3462a99fe7ee", "version_id": "54b5888b-d987-45db-a7d4-b38c72ae272f", "key": "10.1007/JHEP09(2023)007_a.pdf", "size": 782680 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-ex" ], "value": "2305.10787" } ], "abstracts": [ { "source": "Springer", "value": "We present a novel unbinned method to combine B \u00b1 \u2192 DK \u00b1 and charm threshold data for the amplitude-model unbiased measurement of the CKM angle \u03b3 in cases where the D meson decays to a three-body final state. The new unbinned approach avoids any kind of integration over the D Dalitz plot, to make optimal use the available information. We verify the method with simulated signal data where the D decays to K S \u03c0 + \u03c0 \u2212 . Using realistic sample sizes, we find that the new method reaches the statistical precision on \u03b3 of an unbinned model-dependent fit, i.e. as good as possible and better than the widely used model-independent binned approach, without suffering from biases induced by a mis-modeled D decay amplitude." } ], "imprints": [ { "date": "2023-09-01", "publisher": "Springer" } ] }