OPERA, SN1987a and energy dependence of superluminal neutrino velocity

Abstract

This is a brief note discussing the energy dependence of superluminal neutrino velocities recently claimed by OPERA [1,2]. The analysis is based on the data provided there on this issue, as well as on consistency with neutrino data from SN1987a as recorded by the Kamioka detector [3]. It is seen that it is quite difficult to reconcile OPERA with SN1987a. The so called Coleman- Glashow dispersion relations do not do that well, if applied at all neutrino energies. The so called quantum gravity inspired dispersion relations perform far worse. Near OPERA energies both an energy-independent velocity, as well as a linear energy dependence with an offset that is comparable in value to the observed δv by OPERA at 28.1 GeV works very well. Our analysis shows that precision arrival time data from SN1987a still allow for superluminal behaviour for supernova neutrinos. A smooth interpolation is given that reconciles OPERA and SN1987a quite well. It suggests a fourth power energy dependence for δv of supernova neutrinos. This behaviour is insensitive to whether the velocities are energy-independent, or linearly dependent on energy, near OPERA scale of energies. Suggestions are made for experimental checks for these relations.

9 pages in Latex. v2 is an expanded version of v1 with many typos and numerical errors removed, and current literature cited and commented upon. New data and estimates have also been added. v3 has a few added references

References in corpus (17)

• New Constraints on Neutrino Velocities
• Improved analysis of SN1987A antineutrino events
• Constraints and tests of the OPERA superluminal neutrinos
• 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
• Superluminal Neutrinos at OPERA Confront Pion Decay Kinematics
• Astrophysical consequences of the OPERA superluminal neutrino
• The OPERA neutrino velocity result and the synchronisation of clocks
• Mass-dependent Lorentz Violation and Neutrino Velocity
• Background Dependent Lorentz Violation from String Theory
• Superluminal Neutrinos and Monopoles
• Superluminal Dark Neutrinos
• Overview of Lorentz Violation in Neutrinos
• Apparent faster than light propagation from light sterile neutrinos
• Superluminal neutrino and spontaneous breaking of Lorentz invariance
• Is there a neutrino speed anomaly?

Cited by in corpus (13)

• 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
• Constraint on super-luminal neutrinos from vacuum Cerenkov processes
• Replaying neutrino bremsstrahlung with general dispersion relations
• The Price of Neutrino Superluminality continues to rise
• Olber's Paradox for Superluminal Neutrinos: Constraining Extreme Neutrino Speeds at TeV-ZeV Energies with the Diffuse Neutrino Background
• Superluminal neutrino energy spectrum of OPERA and MINOS
• Causality of the Brane Universe - OPERA and ICARUS
• Common origin of superluminal neutrinos and DAMA annual modulation
• Superluminal self-interacting neutrino