doi:10.1103/PhysRevD.91.085036engCarmona, J.M.Cortés, J.L.Romeo, B.Nonuniversal relativistic kinematicsART-2015-90323We present a systematic derivation of the constraints that the relativity principle imposes between coefficients of a deformed (but rotational invariant) momentum composition law, dispersion relation, and momentum transformation laws, at first order in a power expansion of an ultraviolet energy scale. This work generalizes previous results of universal relativistic kinematics to the case of particle-dependent relativistic kinematics, which can have interesting phenomenological applications that we explore in the second part of the manuscript.2015http://zaguan.unizar.es/record/5784810.1103/PhysRevD.91.085036http://zaguan.unizar.es/record/57848oai:zaguan.unizar.es:57848info:eu-repo/grantAgreement/ES/DGA/E24-2info:eu-repo/grantAgreement/ES/MICINN/CPAN-CSD2007-00042info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453PHYSICAL REVIEW. D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY 91, 8 (2015), 085036 [12 pp]All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess