Spinning partial waves for scattering amplitudes in \(d\) dimensions
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Publication:6061765
DOI10.1007/JHEP10(2023)090arXiv2305.18523OpenAlexW4387694828MaRDI QIDQ6061765
Author name not available (Why is that?)
Publication date: 8 December 2023
Published in: (Search for Journal in Brave)
Abstract: Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a {it Mathematica} notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds.
Full work available at URL: https://arxiv.org/abs/2305.18523
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