Speaker
Description
The aligned polarimeter vector field $\vec\alpha$ is as a model-independent representation of the decay rate for polarized decays. Using the recent amplitude analysis of the $\Lambda_c^+ \to p K^- \pi^+$ transition by LHCb, we have computed the distribution of this $\vec\alpha$-field in the space of Mandelstam variables of the decay process. The result will facilitate polarization measurements of the $\Lambda_c$ baryon and ease inclusion of the $\Lambda_c$ decay mode to hadronic amplitude analysis.
The computations were performed with a new approach using methods from the ComPWA project. Amplitude models are implemented symbolically with a Computer Algebra System, so that the mathematics can be easily inspected. The symbolic model then serves as a template for fast, numerical back-ends like JAX and TensorFlow. This symbolic approach makes it easy to formulate and fit amplitude models in a self-documenting workflow with high performance on large, multidimensional data samples.
