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.
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Gavrilova, M., Grossman, Y. & Schacht, S. The mathematical structure of U-spin amplitude sum rules. J. High Energ. Phys. 2022, 278 (2022). https://doi.org/10.1007/JHEP08(2022)278
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DOI: https://doi.org/10.1007/JHEP08(2022)278