Constraints on the interpretation of the superluminal motion of neutrinos at OPERA

Abstract

Various approaches aim to describe the recent analysis by the OPERA experiment, which indicates that neutrinos travel faster than the speed of light. We demonstrate that any such theoretical or experimental explanation must not destroy the complicated (nonlinear) structure of the proton waveform recovered in the neutrino signal. As one example, consider that only a fraction of the neutrinos travel faster than the speed of light, such as sterile neutrinos. We fit the OPERA data including this fraction as a free variable, assuming that the OPERA result is correct. In our analysis, the best-fit values are 50% of the neutrinos being superluminal and (v-c)/c = 4.5 10^{-5}, where the neutrino velocity increases as the fraction of superluminal neutrinos decreases. The minimal fraction of superluminal neutrinos is found to be 17% (3 sigma), which is constrained by the non-linearity of the proton waveform. This minimal fraction challenges the hypothesis that only sterile neutrinos travel faster than the speed of light. In addition, we demonstrate that an experimental effect introducing a smearing between the proton waveform and neutrino signal, as expected for some systematical errors, is also limited by the shape of the waveform. Finally, we illustrate that even stronger constraints may be obtained from the recent analysis with a short-bunch beam, in spite of the low statistics.

12 pages, 3 figures. Minor clarifications, version to appear in Phys. Rev. D

References in corpus (36)

• Measurement of the neutrino velocity with the OPERA detector in the CNGS beam
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• New Constraints on Neutrino Velocities
• Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam
• Constraints and tests of the OPERA superluminal neutrinos
• Probes of Lorentz Violation in Neutrino Propagation
• OPERA-reassessing data on the energy dependence of the speed of neutrinos
• On the Possibility of Superluminal Neutrino Propagation
• Interpreting OPERA results on superluminal neutrino
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Superluminal neutrinos and the tachyon's stability in the rotating Universe
• Beyond the speed of light on Finsler spacetimes
• Astrophysical consequences of the OPERA superluminal neutrino
• Relativistic Superluminal Neutrinos
• Superluminal neutrinos in long baseline experiments and SN1987a
• Superluminal muon-neutrino velocity from a Fermi-point-splitting model of Lorentz violation
• The OPERA neutrino velocity result and the synchronisation of clocks
• Constraining Horava-Lifshitz gravity from neutrino speed experiments
• Superluminal neutrinos and domain walls
• Neutrino Dispersion Relations from a Dark Energy Model
• Mass-dependent Lorentz Violation and Neutrino Velocity
• Neutrino Shortcuts in Spacetime
• Superluminal Neutrinos and Monopoles
• Comments on the recent velocity measurement of the muon neutrinos by the OPERA Collaboration
• Superluminality and a Curious Phenomenon in the Relativistic Quantum Hamilton-Jacobi Equation
• Superluminal Dark Neutrinos
• Neutrino time travel
• Neutrino speed anomaly as signal of Lorentz violation
• Superluminal neutrinos at the OPERA?
• Apparent faster than light propagation from light sterile neutrinos
• A possible statistical mechanism of anomalous neutrino velocity in OPERA experiment?
• The neutrino velocity anomaly as an explanation of the missing observation of neutrinos in coincidence with GRB
• Neutrino oscillations and superluminal propagation, in OPERA or otherwise
• Superluminal Neutrinos without Revolution
• Is there a neutrino speed anomaly?
• A comment on the OPERA result and CPT

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• Superluminal neutrinos and the tachyon's stability in the rotating Universe
• Inertial frames without the relativity principle
• Lorentz violating kinematics: Threshold theorems
• Superluminal neutrinos and domain walls
• Superluminal Neutrinos and Monopoles
• Superluminal Dark Neutrinos
• Replaying neutrino bremsstrahlung with general dispersion relations
• Spontaneously broken Lorentz invariance from the dynamics of a heavy sterile neutrino
• Multiple Lorentz groups - a toy model for superluminal muon neutrinos
• Common-View Mode Synchronization as a source of error in Measurement of Time of Flight of neutrinos at the CERN-LNGS experiment
• Neutrino Splitting and Density-Dependent Dispersion Relations