Resumen: The study of generic, nonlinear, deformations of special relativity parametrized by a high-energy scale M, which was carried out at first order in 1/M in J. M. Carmona, J. L. Cortés, and F. Mercati, Phys. Rev. D 86, 084032 (2012), is extended to second order. This can be done systematically through a ("generalized") change of variables from momentum variables that transform linearly. We discuss the different perspectives on the meaning of the change of variables, obtain the coefficients of modified composition laws and Lorentz transformations at second order, and work out how ¿-Poincaré, the most commonly used example in the literature, is reproduced as a particular case of the generic framework exposed here. Idioma: Inglés DOI: 10.1103/PhysRevD.94.084008 Año: 2016 Publicado en: PHYSICAL REVIEW. D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY 94, 8 (2016), 084008 [18 pp.] ISSN: 1550-7998 Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-2 Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P Tipo y forma: Artículo (Versión definitiva) Área (Departamento): Física Atómica, Molecular y Nuclear (Departamento de Física Teórica) Área (Departamento): Física Teórica (Departamento de Física Teórica)