Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels

The hypothesis of Lorentz violation in the neutrino sector has intrigued scientists for the last two to three decades. A number of theoretical arguments support the emergence of such violations, first and foremost for neutrinos, which constitute the “most elusive” and “least interacting” particles k...

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Main Author: Ulrich D. Jentschura
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Particles
Subjects:
Online Access:https://www.mdpi.com/2571-712X/3/3/41
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author Ulrich D. Jentschura
author_facet Ulrich D. Jentschura
author_sort Ulrich D. Jentschura
collection DOAJ
description The hypothesis of Lorentz violation in the neutrino sector has intrigued scientists for the last two to three decades. A number of theoretical arguments support the emergence of such violations, first and foremost for neutrinos, which constitute the “most elusive” and “least interacting” particles known to mankind. It is of obvious interest to place stringent bounds on the Lorentz-violating parameters in the neutrino sector. In the past, the most stringent bounds have been placed by calculating the probability of neutrino decay into a lepton pair, a process made kinematically feasible by Lorentz violation in the neutrino sector, above a certain threshold. However, even more stringent bounds can be placed on the Lorentz-violating parameters if one takes into account, additionally, the possibility of neutrino splitting, i.e., of neutrino decay into a neutrino of lower energy, accompanied by “neutrino-pair Čerenkov radiation.” This process has a negligible threshold and can be used to improve the bounds on Lorentz-violating parameters in the neutrino sector. Finally, we take the opportunity to discuss the relation of Lorentz and gauge symmetry breaking, with a special emphasis on the theoretical models employed in our calculations.
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spelling doaj.art-d2b2be20ffd647d8a7fa5fbe11b674df2023-11-20T11:22:26ZengMDPI AGParticles2571-712X2020-08-013363064110.3390/particles3030041Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay ChannelsUlrich D. Jentschura0Department of Physics, Missouri University of Science and Technology, Rolla, MO 65409, USAThe hypothesis of Lorentz violation in the neutrino sector has intrigued scientists for the last two to three decades. A number of theoretical arguments support the emergence of such violations, first and foremost for neutrinos, which constitute the “most elusive” and “least interacting” particles known to mankind. It is of obvious interest to place stringent bounds on the Lorentz-violating parameters in the neutrino sector. In the past, the most stringent bounds have been placed by calculating the probability of neutrino decay into a lepton pair, a process made kinematically feasible by Lorentz violation in the neutrino sector, above a certain threshold. However, even more stringent bounds can be placed on the Lorentz-violating parameters if one takes into account, additionally, the possibility of neutrino splitting, i.e., of neutrino decay into a neutrino of lower energy, accompanied by “neutrino-pair Čerenkov radiation.” This process has a negligible threshold and can be used to improve the bounds on Lorentz-violating parameters in the neutrino sector. Finally, we take the opportunity to discuss the relation of Lorentz and gauge symmetry breaking, with a special emphasis on the theoretical models employed in our calculations.https://www.mdpi.com/2571-712X/3/3/41lorentz violationneutrinosgauge invariancemass mixingicecube detectorphysics beyond the standard models
spellingShingle Ulrich D. Jentschura
Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels
Particles
lorentz violation
neutrinos
gauge invariance
mass mixing
icecube detector
physics beyond the standard models
title Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels
title_full Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels
title_fullStr Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels
title_full_unstemmed Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels
title_short Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels
title_sort squeezing the parameter space for lorentz violation in the neutrino sector with additional decay channels
topic lorentz violation
neutrinos
gauge invariance
mass mixing
icecube detector
physics beyond the standard models
url https://www.mdpi.com/2571-712X/3/3/41
work_keys_str_mv AT ulrichdjentschura squeezingtheparameterspaceforlorentzviolationintheneutrinosectorwithadditionaldecaychannels