Spontaneously broken Lorentz invariance from the dynamics of a heavy sterile neutrino
F. R. Klinkhamer
Institute for Theoretical Physics, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany
Abstract
A relativistic theory for neutrino superluminality is
presented (in principle, the same mechanism applies also to other fermions).
The theory involves the standard-model particles and one additional heavy
sterile neutrino with an energy-scale close to or above the electroweak one,
all particles propagating in the usual 3+1
spacetime dimensions. Lorentz violation results from spontaneous symmetry
breaking in the sterile-neutrino sector. The theory tries, as far as
possible, to be consistent with the existing experimental data from neutrino
physics and to keep the number of assumptions minimal. There are clear
experimental predictions which can be tested.