Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos

The emission of a charged light lepton pair by a superluminal neutrino has been identified as a major factor in the energy loss of highly energetic neutrinos. The observation of PeV neutrinos by IceCube implies their stability against lepton pair Cerenkov radiation. Under the assumption of a Lorentz...

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Main Authors: Ulrich D. Jentschura, István Nándori
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2017/9850312
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author Ulrich D. Jentschura
István Nándori
author_facet Ulrich D. Jentschura
István Nándori
author_sort Ulrich D. Jentschura
collection DOAJ
description The emission of a charged light lepton pair by a superluminal neutrino has been identified as a major factor in the energy loss of highly energetic neutrinos. The observation of PeV neutrinos by IceCube implies their stability against lepton pair Cerenkov radiation. Under the assumption of a Lorentz-violating dispersion relation for highly energetic superluminal neutrinos, one may thus constrain the Lorentz-violating parameters. A kinematically different situation arises when one assumes a Lorentz-covariant, space-like dispersion relation for hypothetical tachyonic neutrinos, as an alternative to Lorentz-violating theories. We here discuss a hitherto neglected decay process, where a highly energetic tachyonic neutrino may emit other (space-like, tachyonic) neutrino pairs. We find that the space-like dispersion relation implies the absence of a q2 threshold for the production of a tachyonic neutrino-antineutrino pair, thus leading to the dominant additional energy loss mechanism for an oncoming tachyonic neutrino in the medium-energy domain. Surprisingly, the small absolute values of the decay rate and energy loss rate in the tachyonic model imply that these models, in contrast to the Lorentz-violating theories, are not pressured by the cosmic PeV neutrinos registered by the IceCube collaboration.
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spelling doaj-art-a265bd01798447c8ad4d9301b9aa3bb82025-08-20T02:20:19ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/98503129850312Neutrino Pair Cerenkov Radiation for Tachyonic NeutrinosUlrich D. Jentschura0István Nándori1Department of Physics, Missouri University of Science and Technology, Rolla, MO 65409, USAMTA-DE Particle Physics Research Group, P.O. Box 51, Debrecen 4001, HungaryThe emission of a charged light lepton pair by a superluminal neutrino has been identified as a major factor in the energy loss of highly energetic neutrinos. The observation of PeV neutrinos by IceCube implies their stability against lepton pair Cerenkov radiation. Under the assumption of a Lorentz-violating dispersion relation for highly energetic superluminal neutrinos, one may thus constrain the Lorentz-violating parameters. A kinematically different situation arises when one assumes a Lorentz-covariant, space-like dispersion relation for hypothetical tachyonic neutrinos, as an alternative to Lorentz-violating theories. We here discuss a hitherto neglected decay process, where a highly energetic tachyonic neutrino may emit other (space-like, tachyonic) neutrino pairs. We find that the space-like dispersion relation implies the absence of a q2 threshold for the production of a tachyonic neutrino-antineutrino pair, thus leading to the dominant additional energy loss mechanism for an oncoming tachyonic neutrino in the medium-energy domain. Surprisingly, the small absolute values of the decay rate and energy loss rate in the tachyonic model imply that these models, in contrast to the Lorentz-violating theories, are not pressured by the cosmic PeV neutrinos registered by the IceCube collaboration.http://dx.doi.org/10.1155/2017/9850312
spellingShingle Ulrich D. Jentschura
István Nándori
Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos
Advances in High Energy Physics
title Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos
title_full Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos
title_fullStr Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos
title_full_unstemmed Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos
title_short Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos
title_sort neutrino pair cerenkov radiation for tachyonic neutrinos
url http://dx.doi.org/10.1155/2017/9850312
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