Modified energy-momentum conservation laws and vacuum Cherenkov radiation

摘要

We present a general parametrization for the leading order terms in amomentum power expansion of a non-universal Lorentz-violating, but rotationalinvariant, kinematics and its implications for two-body decay thresholds. Theconsidered framework includes not only modified dispersion relations forparticles, but also modified energy-momentum conservation laws, something whichgoes beyond effective field theory. As a particular and relevant example,bounds on the departures from special relativistic kinematics from thenon-observation of vacuum Cherenkov radiation are discussed and compared withthose obtained within the effective field theory scenario.