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Description
In the helicity formalism the task of calculating the correct roations between two systems is non trivial. While it can be done in an analytical manner for three body decays, this is not the case for decays involving more particles. To reassure consistent treatment of quantization axes for particles with spin, a series of boosts and rotations has to be translated into one set of angles known as the Wigner rotation.
This work introduces an efficient Python-based implementation for calculating Wigner rotations in multi-particle decay processes, utilizing NumPy and JAX for numerical computations.
Addressing the complexity of Lorentz transformations, our method leverages both SO(3,1) and SU(2) representations to compute rotation angles for any given particle within n-body decays accurately. This approach overcomes traditional challenges of sensitivity to $2\pi$ rotations and angle extraction, providing a robust tool for the computational analysis of complex decay phenomena in high-energy physics.
