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...
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| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
17.07.2012
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| In: |
Central European journal of physics
Year: 2012, Jahrgang: 10, Heft: 4, Pages: 749-762 |
| ISSN: | 1644-3608 |
| DOI: | 10.2478/s11534-012-0031-1 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.2478/s11534-012-0031-1 Verlag, kostenfrei, Volltext: https://www.degruyterbrill.com/view/j/phys.2012.10.issue-4/s11534-012-0031-1/s11534-012-0031-1.xml 
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| Verfasserangaben: | Ulrich D. Jentschura |
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| 520 | |a 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. | ||
| 650 | 4 | |a Cosmic rays | |
| 650 | 4 | |a Gauge field theories | |
| 650 | 4 | |a Neutrino, muon, pion, and other elementary particles | |
| 650 | 4 | |a Relativistic wave equations | |
| 650 | 4 | |a Renormalization group methods | |
| 650 | 4 | |a Theory of quantized fields | |
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