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- Title
Spinning partial waves for scattering amplitudes in d dimensions.
- Authors
Burić, Ilija; Russo, Francesco; Vichi, Alessandro
- 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 2 → 2 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 Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds.
- Subjects
SCATTERING amplitude (Physics); SPIN waves; OPERATOR algebras; PARTICLE spin; HARMONIC analysis (Mathematics); PHASE shift (Nuclear physics)
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 10, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP10(2023)090