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Constructing the covariant three-point vertices systematically

2021/11/16 by Seong Youl Choi, Jae Hoon Jeong, J. H. Jeong · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Computer science #Condensed matter physics #Construct (python library) #Covariant transformation #Formalism (music) #Geometry #Helicity #Lorentz transformation #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spins #Theoretical physics #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.105.016016

published in Physical review. D/Physical review. D. 105(1) (American Physical Society) · 10 pages, 5 eps figure files. arXiv admin note: substantial text overlap with arXiv:2106.15774

arxiv created 2021/11/16 · openalex publication_date 2022/01/19 · arxiv updated 2022/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An algorithm is developed for efficiently constructing the Lorentz covariant effective three-point vertices of the decay of a particle into two daughter particles in which all the masses and spins of the three particles can be arbitrary. The closely related one-to-one correspondence between the helicity formalism and the covariant formulation is exploited for counting the number of independent terms and identifying the basic covariant three-point vertices. Assembling the basic operators according to the developed algorithm enables us to construct all the covariant three-point vertices systematically.

Citations