Resumen: The kinematics of the three-body decay, with a modified energy-momentum relation of the particles due to a violation of Lorentz invariance, is presented in detail in the collinear approximation. The results are applied to the decay of superluminal neutrinos producing an electron-positron or a neutrino-antineutrino pair. Explicit expressions for the energy distributions, required for a study of the cascade of neutrinos produced in the propagation of superluminal neutrinos, are derived. Idioma: Inglés DOI: 10.1103/PhysRevD.107.043001 Año: 2023 Publicado en: Physical Review D 107, 4 (2023), 043001 [12 pp.] ISSN: 2470-0010 Factor impacto JCR: 4.6 (2023) Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 7 / 31 = 0.226 (2023) - Q1 - T1 Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 17 / 84 = 0.202 (2023) - Q1 - T1 Factor impacto CITESCORE: 9.3 - Nuclear and High Energy Physics (Q1)