T-violation tests for relativity principles

Abstract

We consider the implications of a violation of the equivalence principle or of Lorentz invariance in the neutrino sector for the T-asymmetry $\Delta P_T\equiv P({\nu }_{\alpha }\to {\nu }_{\beta })-P({\nu }_{\beta }\to {\nu }_{\alpha })$ in a three-flavour framework. We find that additional mixing due to these mechanisms, while obeying all present bounds, can lead to a substantial enhancement, suppression, and/or sign change in $\Delta P_T$ for the preferred energies and baselines of a neutrino factory. This in turn allows for the possibility of improving existing constraints by several orders of magnitude.

Comments: 2 pages; Talk given at the 4th NuFact '02 Workshop (Neutrino Factories Based On Muon Storage Rings), 1-6 Jul 2002, London, England; To appear in proceedings