T violation in flavor oscillations as a test for relativity principles at a neutrino factory -: art. no. 056005

We study the effects of the violation of the equivalence principle (VEP) or the violation of Lorentz invariance (LIV) in the neutrino sector on the asymmetry between T-conjugate oscillation probabilities, DeltaP(T) = P(nu(alpha)-->nu(beta)) - P(nu(beta)-->nu(alpha)), in a three-flavor framework. We find that additional mixing due to these mechanisms, while obeying all present bounds, can lead to an observable enhancement, suppression, and/or sign change in DeltaP(T) for the preferred energies and baselines of a neutrino factory. The measurement of this asymmetry can be used to establish a new upper limit of the order of 10(-26) on VEP or LIV in the (nu(e),nu(mu)) and (nu(e),nu(tau)) sectors.