Automatic generation of U-spin amplitude sum rules

Precise measurements of the CKM matrix of the Standard Model (SM) are important for improving our understanding of the weak interaction, studying CP-violation, and probing physics beyond the SM. Currently, it is not possible to directly calculate hadronic parameters that are needed for such extractions due to color confinement and non-perturbative effects from quantum chromodynamics (QCD). However, an approximate symmetry of QCD called U-spin can be exploited to write mathematical relations called U-spin amplitude sum rules, which reduce the number of incalculable parameters and enable the measurement of the fundamental parameters of weak interactions. A recent paper [M. Gavrilova, Y. Grossman, and S. Schacht, J. High Energy Phys. 08 (2022) 278] developed a systematic approach to deriving U-spin amplitude sum rules up to an arbitrary order of precision. We explain the method of finding sum rules, provide applications to examples of physical processes, and describe the procedure's automatic implementation as a Mathematica and Python package that can be used by researchers to make theoretical predictions for experiments.