Calculation of the decay rate of tachyonic neutrinos against charged-lepton-pair and neutrino-pair Cerenkov radiation

Nándori, I.; Ehrlich, Robert

doi:10.1088/1361-6471/aa84da

Cited by 13 publications

(25 citation statements)

References 63 publications

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“…The obtained results have been applied to the study of neutrino flavor oscillations. In particular, on the basis of recent experimental results concerning ultrarelativistic neutrinos up to energies of the order of the PeV scale [46], we propose a theory in which flavor changes occur through the creation of superluminal states, obtained by the interaction of a neutrino with the surrounding matter. This theory, although still speculative, might be verified by measuring the travel times of only high-energy neutrinos between a source and detector that arrive at the detector with a changed flavor.…”

Section: Resultsmentioning

confidence: 99%

Evanescent waves and superluminal behavior of matter

Nanni

2019

Int. J. Mod. Phys. A

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An evanescent wave is a non-propagating wave with an imaginary wave vector. In this study, we prove that these are solutions of the tachyon-like Klein-Gordon equation, and that in the tunneling of ultrarelativistic spin-1/2 particles they describe superluminal states arising from interactions between a particle and barrier. These states decay as a particle emerges from the opposite side of a potential barrier, conserving the same initial energy but not necessarily the same mass. The obtained theory is applied to the neutrino, to explain flavor oscillations during free flight and determine the conditions that maximize the probability of their occurrence.

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Section: Resultsmentioning

confidence: 99%

Evanescent waves and superluminal behavior of matter

Nanni

2019

Int. J. Mod. Phys. A

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“…In Sec. 2.3 of [28], it has recently been shown that this is the case, for both tachyonic (Lorentz-conserving) as well as Lorentz-violating superluminal neutrinos, for surprisingly large incoming neutrino energies. Its range of applicability covers the entire kinematic regime from zero neutrino energy up to the "Big Bird" energy (Refs.…”

Section: A Theoretical Basis and Assumptionsmentioning

confidence: 96%

“…(7), according to v ≈ 1 + δ/2, we are consistent with Refs. [17,20,26,28], while Refs. [8,13,14] choose their δ parameters to be equal to just the difference v − 1.…”

Section: A Theoretical Basis and Assumptionsmentioning

confidence: 99%

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Neutrino splitting for Lorentz-violating neutrinos: Detailed analysis

Somogyi

Nándori

2019

Phys. Rev. D

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Lorentz-violating neutrino parameters have been severely constrained on the basis of astrophysical considerations. In the high-energy limit, one generally assumes a superluminal dispersion relation of an incoming neutrino of the form E ≈ | p| v, where E is the energy, p is the momentum and v = √ 1 + δ > 1. Lepton-pair creation due to a Cerenkov-radiation-like process (ν → ν + e − + e + ) becomes possible above a certain energy threshold, and bounds on the Lorentz-violating parameter δ can be derived. Here, we investigate a related process, νi → νi + ν f + ν f , where νi is an incoming neutrino mass eigenstate, while ν f is the final neutrino mass eigenstate, with a superluminal velocity that is slightly slower than that of the initial state. This process is kinematically allowed if the Lorentz-violating parameters at high energy differ for the different neutrino mass eigenstates. Neutrino splitting is not subject to any significant energy threshold condition and could yield quite a substantial contribution to decay and energy loss processes at high energy, even if the differential Lorentz violation among neutrino flavors is severely constrained by other experiments. We also discuss the SU (2)L-gauge invariance of the superluminal models and briefly discuss the use of a generalized vierbein formalism in the formulation of the Lorentz-violating Dirac equation.

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“…It ranges from the physics of high energies tested in particle accelerators [5,6] to astrophysics [7][8][9][10], passing through many new theories aiming to explain its anomalies [11,12]. Among these anomalies, that of superluminal neutrinos is the most debated, the publications dedicated to it only multiplying [13][14][15][16]. Recently, the controversy about the data of the OPERA experiment in 2011 raised questions about the abilities of neutrinos to travel faster than light.…”

Section: Introductionmentioning

confidence: 99%

Production of tachyonic neutrino in matter

Nanni¹

2020

J. Phys. Commun.

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Recently, a new theory based on superluminal tunnelling has been proposed to explain the transition of highly energetic neutrinos propagating in matter to tachyonic states. In this work, we determine the possible mechanisms that lead neutrinos into a superluminal realm based on the assumption that ultrarelativistic neutrinos travelling in matter lose part of their energy with the emission of Bremsstrahlung radiation. The obtained photons, in turn, can create neutrino-antineutrino pairs, one or both of which can be superluminal. We also prove that pair creation may occur with neutrino flavour oscillation provided that only one of them is a space-like particle. This suggests that mass oscillation and superluminal behaviour could be related phenomena. Finally, using the generalised Lorentz transformations, we formulate the Lagrangian of the kinematically allowed scattering processes. The structure of this Lagrangian is consistent with the formalism of the Standard Model. Based on this Lagrangian, at least one of the particles forming the pair must always be subluminal. The possibility that the pair creation process is mediated by a dark photon is also discussed.

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Calculation of the decay rate of tachyonic neutrinos against charged-lepton-pair and neutrino-pair Cerenkov radiation

Cited by 13 publications

References 63 publications

Evanescent waves and superluminal behavior of matter

Evanescent waves and superluminal behavior of matter

Neutrino splitting for Lorentz-violating neutrinos: Detailed analysis

Production of tachyonic neutrino in matter

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