The mathematical structure of U-spin amplitude sum rules
Abstract We perform a systematic study of SU(2) flavor amplitude sum rules with particular emphasis on U-spin. This study reveals a rich mathematical structure underlying the sum rules that allows us to formulate an algorithm for deriving all U-spin amplitude sum rules to any order of the symmetry b...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)278 |
| _version_ | 1817986745404227584 |
|---|---|
| author | Margarita Gavrilova Yuval Grossman Stefan Schacht |
| author_facet | Margarita Gavrilova Yuval Grossman Stefan Schacht |
| author_sort | Margarita Gavrilova |
| collection | DOAJ |
| description | Abstract We perform a systematic study of SU(2) flavor amplitude sum rules with particular emphasis on U-spin. This study reveals a rich mathematical structure underlying the sum rules that allows us to formulate an algorithm for deriving all U-spin amplitude sum rules to any order of the symmetry breaking. This novel approach to deriving the sum rules does not require one to explicitly compute the Clebsch-Gordan tables, and allows for simple diagrammatic interpretation. Several examples that demonstrate the application of our novel method to systems that can be probed experimentally are provided. |
| first_indexed | 2024-04-14T00:13:23Z |
| format | Article |
| id | doaj.art-7c2e77605e3a49a1b9f50f1852278519 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-14T00:13:23Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7c2e77605e3a49a1b9f50f18522785192022-12-22T02:23:15ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022818810.1007/JHEP08(2022)278The mathematical structure of U-spin amplitude sum rulesMargarita Gavrilova0Yuval Grossman1Stefan Schacht2Department of Physics, LEPP, Cornell UniversityDepartment of Physics, LEPP, Cornell UniversityDepartment of Physics and Astronomy, University of ManchesterAbstract We perform a systematic study of SU(2) flavor amplitude sum rules with particular emphasis on U-spin. This study reveals a rich mathematical structure underlying the sum rules that allows us to formulate an algorithm for deriving all U-spin amplitude sum rules to any order of the symmetry breaking. This novel approach to deriving the sum rules does not require one to explicitly compute the Clebsch-Gordan tables, and allows for simple diagrammatic interpretation. Several examples that demonstrate the application of our novel method to systems that can be probed experimentally are provided.https://doi.org/10.1007/JHEP08(2022)278Flavour SymmetriesBottom QuarksCharm Flavour Violation |
| spellingShingle | Margarita Gavrilova Yuval Grossman Stefan Schacht The mathematical structure of U-spin amplitude sum rules Journal of High Energy Physics Flavour Symmetries Bottom Quarks Charm Flavour Violation |
| title | The mathematical structure of U-spin amplitude sum rules |
| title_full | The mathematical structure of U-spin amplitude sum rules |
| title_fullStr | The mathematical structure of U-spin amplitude sum rules |
| title_full_unstemmed | The mathematical structure of U-spin amplitude sum rules |
| title_short | The mathematical structure of U-spin amplitude sum rules |
| title_sort | mathematical structure of u spin amplitude sum rules |
| topic | Flavour Symmetries Bottom Quarks Charm Flavour Violation |
| url | https://doi.org/10.1007/JHEP08(2022)278 |
| work_keys_str_mv | AT margaritagavrilova themathematicalstructureofuspinamplitudesumrules AT yuvalgrossman themathematicalstructureofuspinamplitudesumrules AT stefanschacht themathematicalstructureofuspinamplitudesumrules AT margaritagavrilova mathematicalstructureofuspinamplitudesumrules AT yuvalgrossman mathematicalstructureofuspinamplitudesumrules AT stefanschacht mathematicalstructureofuspinamplitudesumrules |