Abstract
Isospin symmetry is the most precise flavor symmetry. In this work, we propose an approach to generate isospin sum rules for heavy hadron decays without the Wigner-Eckhart invariants. The effective Hamiltonian of heavy quark weak decay is fully invariant under a series of isospin lowering operators \( {I}_{-}^n \) and then the isospin sum rules can be generated through several master formulas. It provides a systematic way to study the isospin symmetry of c- and b-hadron weak decays. The theoretical framework of this approach is presented in detail with the nonleptonic decays of D and B mesons as examples. In addition, the V-/U-spin sum rules are derived in a similar algorithm by replacing \( {I}_{-}^n \) with \( {V}_{-}^n/{U}_{-}^n \).
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Acknowledgments
This work was supported in part by the National Natural Science Foundation of China under Grants No. 12105099.
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Wang, D. Generation of isospin sum rules in heavy hadron weak decays. J. High Energ. Phys. 2023, 64 (2023). https://doi.org/10.1007/JHEP05(2023)064
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DOI: https://doi.org/10.1007/JHEP05(2023)064