Tachyonic field theory and neutrino mass running

• Verfasst von: Jentschura, Ulrich D. [VerfasserIn]
• Titel: Tachyonic field theory and neutrino mass running
• Verf.angabe: Ulrich D. Jentschura
• E-Jahr: 2012
• Jahr: 17.07.2012
• Umfang: 14 S.
• Fussnoten: Online erschienen: 17.07.2012 ; Gesehen am 23.08.2018
• Titel Quelle: Enthalten in: Central European journal of physics
• Ort Quelle: Warsaw : Central European Science Journals, 2003
• Jahr Quelle: 2012
• Band/Heft Quelle: 10(2012), 4, Seite 749-762
• ISSN Quelle: 1644-3608
• DOI: doi:10.2478/s11534-012-0031-1
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Cosmic rays
• Sach-SW: Gauge field theories
• Sach-SW: Neutrino, muon, pion, and other elementary particles
• Sach-SW: Relativistic wave equations
• Sach-SW: Renormalization group methods
• Sach-SW: Theory of quantized fields
• K10plus-PPN: 1580318851

Abstract

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.