Neutrino mixing and Lorentz invarianceM. Blasone1, J. Magueijo2 and P. Pires-Pacheco2
1 Dipartimento di Fisica and INFN, Università di Salerno - 84081 Baronissi (SA), Italy
2 Blackett Laboratory, Imperial College London Prince Consort Road, London SW7 2BW, UK
received 9 February 2005; accepted in final form 7 April 2005
published online 27 April 2005
We use previous work on the Hilbert space for mixed fields to derive deformed dispersion relations for neutrino flavor states. We then discuss how these dispersion relations may be incorporated into frameworks encoding the breakdown of Lorentz invariance. We consider non-linear relativity schemes (of which doubly special relativity is an example), and also frameworks allowing for the existence of a preferred frame. In both cases we derive expressions for the spectrum and end-point of beta decay, which may be used as an experimental probe of the peculiar way in which neutrinos experience Lorentz invariance.
14.60.Pq - Neutrino mass and mixing.
03.70.+k - Theory of quantized fields.
03.30.+p - Special relativity.
© EDP Sciences 2005