FlaSR: A Mathematica Package for the Automatic Generation of $U$-spin Sum Rules

Margarita Gavrilova; Livia Kong

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arXiv · 2608.26248

FlaSR: A Mathematica Package for the Automatic Generation of $U$-spin Sum Rules

Margarita Gavrilova·Livia Kong

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Abstract

We present FlaSR, a Mathematica package for the automatic generation of higher-order amplitude and amplitude-squared $SU(2)$ flavor sum rules, with a particular emphasis on $U$-spin. The package is based on recent insights into the mathematical structure of flavor sum rules. Given a system of symmetry-related processes defined by a list of particle multiplets in the initial and final states, together with the transformation properties of the symmetry-limit Hamiltonian, the package generates the full list of processes and outputs amplitude and amplitude-squared sum rules for the system. For amplitude sum rules, the package generates the complete set at all orders in symmetry breaking for which such relations exist. For amplitude-squared sum rules, which translate directly into sum rules among physical observables, the current version of the package is not guaranteed to generate the complete set. We illustrate the scope of the package with a range of representative examples.

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Margarita Gavrilova, Livia Kong. 2026-08-26. FlaSR: A Mathematica Package for the Automatic Generation of $U$-spin Sum Rules. https://arxiv.org/abs/2608.26248

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