MINOS Anomaly as A Signal of Lorentz Violation

Abstract

Recently, the MINOS collaboration reported an anomaly that the mass-squared difference and mixing angle of ${\bar{\nu }}_{\mu }$ $\leftrightarrow$ ${\bar{\nu }}_{\tau }$ are both different from that of ${\nu }_{\mu }$ $\leftrightarrow$ ${\nu }_{\tau }$. In this paper, based on the framework of neutrino oscillations, terms that break the Lorentz symmetry are used as perturbation to explain this anomaly and satisfactory results are got. Remarkably, some surprising conclusions, one of which is that in the high energy limit (hundreds of GeV) neutrino oscillation pattern will be independent of energy, are also arrived.

9 pages, 4 figures, references added, accepted for publication in PLB

References in corpus (11)

• Measurement of the neutrino mass splitting and flavor mixing by MINOS
• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
• Interpretation of MINOS data in terms of non-standard neutrino interactions
• Global constraints on muon-neutrino non-standard interactions
• Gauged L_mu - L_tau and different Muon Neutrino and Anti-Neutrino Oscillations: MINOS and beyond
• Challenging Lorentz noninvariant neutrino oscillations without neutrino masses
• Probing Nonstandard Neutrino Physics by Two Identical Detectors with Different Baselines
• Apparent multiple Delta m^2_32 in muon anti-neutrino and muon neutrino survival oscillations from non-standard interaction matter effect
• Lorentz violating extension of the Standard Model and the Beta-decay end-point
• Extreme scenarios of new physics in the UHE astrophysical neutrino flavour ratios
• Ghost condensation and CPT violation in neutrino sector