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2011

On the Possibility of Superluminal Neutrino Propagation

Alexandre, Jean, Ellis, John, Mavromatos, Nick E.

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We analyze the possibility of superluminal neutrino propagation delta v = (v - c)/c > 0 as indicated by OPERA data, in view of previous phenomenological constraints from supernova SN1987a and gravitational Cerenkov radiation.

We argue that the SN1987a data rule out delta v ~ (E_\nu/M_N)^N for N \le 2 and exclude, in particular, a Lorentz-invariant interpretation in terms of a 'conventional' tachyonic neutrino.
We present two toy Lorentz-violating theoretical models, one a Lifshitz-type fermion model with superluminality depending quadratically on energy, and the other a Lorentz-violating modification of a massless Abelian gauge theory with axial-vector couplings to fermions.
In the presence of an appropriate background field, fermions may propagate superluminally or subluminally, depending inversely on energy, and on direction.

Built on

K. Greisen, Phys. Rev. Lett. 16
1969
Earlier work this paper cites.
R. Jackiw and K. Johnson, Phys. Rev. D 8
1973
Earlier work this paper cites.
G. R. Kalbfleisch, N. Baggett, E. C. Fowler and J. Alspector, Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
K. Hirata et al
1987
Earlier work this paper cites.
M. J. Longo, Phys. Rev. D 36
1987
Earlier work this paper cites.
S. R. Coleman, S. L. Glashow, Phys. Rev. D59
1999
Earlier work this paper cites.
G. D. Moore, A. E. Nelson, JHEP 0109
2001
Earlier work this paper cites.