T-violation in flavour oscillations as a test for relativity principles at a neutrino factory

Abstract

We study the effects of violation of the equivalence principle (VEP) or violation of Lorentz invariance (LIV) in the neutrino sector on the asymmetry between T-conjugate oscillation probabilities, $\Delta P_T\equiv P({\nu }_{\alpha }\to {\nu }_{\beta })-P({\nu }_{\beta }\to {\nu }_{\alpha })$, in a three-flavour framework. We find that additional mixing due to these mechanisms, while obeying all present bounds, can lead to an observable enhancement, suppression, and/or sign change in $\Delta P_T$ 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 order $10^{-26}$ on VEP or LIV in the $({\nu }_e,{\nu }_{\mu })$ and $({\nu }_e,{\nu }_{\tau })$ sectors.

RevTeX4, 10 pages, 11 figures; To appear in PRD; v2: two references added

References in corpus (9)

• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Solar 8B and hep Neutrino Measurements from 1258 Days of Super-Kamiokande Data
• Exploring Neutrino Mixing with Low Energy Superbeams
• T violation in neutrino oscillations in matter
• Global Analysis of the post-SNO Solar Neutrino Data for Standard and Non-Standard Oscillation Mechanisms
• On the energy and baseline optimization to study effects related to the $\delta$-phase (CP-/T-violation) in neutrino oscillations at a Neutrino Factory
• CP and T Trajectory Diagrams for a Unified Graphical Representation of Neutrino Oscillations
• Violation of the Equivalence Principle in the light of the SNO and SK solar neutrino results

Cited by in corpus (4)

• Physics at a future Neutrino Factory and super-beam facility
• Extrinsic CPT Violation in Neutrino Oscillations in Matter
• Neutral currents and tests of three-neutrino unitarity in long-baseline experiments
• T-violation tests for relativity principles