Systematics of U-Spin Sum Rules for Systems with Direct Sums
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915060008353792 |
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| author | Gavrilova, Margarita Schacht, Stefan |
| author_facet | Gavrilova, Margarita Schacht, Stefan |
| contents | 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 $0 \oplus 1$. 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03830 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Systematics of U-Spin Sum Rules for Systems with Direct Sums Gavrilova, Margarita Schacht, Stefan High Energy Physics - Phenomenology High Energy Physics - Experiment 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 $0 \oplus 1$. Potential applications are numerous and include, for example, higher order sum rules for CP-violating charm decays with an arbitrary number of final states. |
| title | Systematics of U-Spin Sum Rules for Systems with Direct Sums |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2409.03830 |