Tachyonic Field Theory and Neutrino Mass Running
In this paper three things are done. (i) We investigate the analogues of Cerenkov radiation for the decay of a superluminal neutrino and calculate the Cerenkov angles for the emission of a photon through a W loop, and for a collinear electron-positron pair, assuming the tachyonic dispersion relation for the superluminal neutrino. The decay rate of a freely propagating neutrino is found to depend on the shape of the assumed dispersion relation, and is found to decrease with decreasing tachyonic mass of the neutrino. (ii)We discuss a few properties of the tachyonic Dirac equation (symmetries and plane-wave solutions), which may be relevant for the description of superluminal neutrinos seen by the OPERA experiment, and discuss the calculation of the tachyonic propagator. (iii) In the absence of a commonly accepted tachyonic field theory, and in view of an apparent "running" of the observed neutrino mass with the energy, we write down a model Lagrangian, which describes a Yukawa-type interaction of a neutrino coupling to a scalar background field via a scalar-minus-pseudoscalar interaction. This constitutes an extension of the standard model. If the interaction is strong, then it leads to a substantial renormalization-group "running" of the neutrino mass and could potentially explain the experimental observations.
U. D. Jentschura, "Tachyonic Field Theory and Neutrino Mass Running," Central European Journal of Physics, vol. 10, no. 4, pp. 749-762, Central European Science Journals, Aug 2012.
The definitive version is available at https://doi.org/10.2478/s11534-012-0031-1
Keywords and Phrases
Cosmic Rays; Gauge Field Theories; Neutrino, Muon, Pion, And Other Elementary Particles; Relativistic Wave Equations; Renormalization Group Methods; Theory Of Quantized Fields
International Standard Serial Number (ISSN)
Article - Journal
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