Systematics of U-spin sum rules for systems with direct sums
Abstract A rich mathematical structure underlying flavor sum rules has been discovered recently. In this work, we extend these findings to systems with a direct sum of representations. We prove several results for the general case. We derive an algorithm that enables the determination of all U-spin...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)072 |
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| _version_ | 1850102186172743680 |
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| author | Margarita Gavrilova Stefan Schacht |
| author_facet | Margarita Gavrilova Stefan Schacht |
| author_sort | Margarita Gavrilova |
| collection | DOAJ |
| description | Abstract A rich mathematical structure underlying flavor sum rules has been discovered recently. In this work, we extend these findings to systems with a direct sum of representations. We prove several results for the general case. We derive an algorithm that enables the determination of all U-spin amplitude sum rules at arbitrary order of the symmetry breaking for any system containing a direct sum of the representations 0 ⨁ 1. Potential applications are numerous and include, for example, higher order sum rules for CP-violating charm decays with an arbitrary number of final states. |
| format | Article |
| id | doaj-art-7339e5b5e67a4cd09911f0fa666961e5 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-7339e5b5e67a4cd09911f0fa666961e52025-08-20T02:39:48ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241215810.1007/JHEP12(2024)072Systematics of U-spin sum rules for systems with direct sumsMargarita Gavrilova0Stefan Schacht1Department of Physics, LEPP, Cornell UniversityDepartment of Physics and Astronomy, University of ManchesterAbstract A rich mathematical structure underlying flavor sum rules has been discovered recently. In this work, we extend these findings to systems with a direct sum of representations. We prove several results for the general case. We derive an algorithm that enables the determination of all U-spin amplitude sum rules at arbitrary order of the symmetry breaking for any system containing a direct sum of the representations 0 ⨁ 1. Potential applications are numerous and include, for example, higher order sum rules for CP-violating charm decays with an arbitrary number of final states.https://doi.org/10.1007/JHEP12(2024)072Flavour SymmetriesCharm Flavour ViolationBottom QuarksCP Violation |
| spellingShingle | Margarita Gavrilova Stefan Schacht Systematics of U-spin sum rules for systems with direct sums Journal of High Energy Physics Flavour Symmetries Charm Flavour Violation Bottom Quarks CP Violation |
| title | Systematics of U-spin sum rules for systems with direct sums |
| title_full | Systematics of U-spin sum rules for systems with direct sums |
| title_fullStr | Systematics of U-spin sum rules for systems with direct sums |
| title_full_unstemmed | Systematics of U-spin sum rules for systems with direct sums |
| title_short | Systematics of U-spin sum rules for systems with direct sums |
| title_sort | systematics of u spin sum rules for systems with direct sums |
| topic | Flavour Symmetries Charm Flavour Violation Bottom Quarks CP Violation |
| url | https://doi.org/10.1007/JHEP12(2024)072 |
| work_keys_str_mv | AT margaritagavrilova systematicsofuspinsumrulesforsystemswithdirectsums AT stefanschacht systematicsofuspinsumrulesforsystemswithdirectsums |