Inconsistency in super-luminal CERN–OPERA neutrino speed with the observed SN1987A burst and neutrino mixing for any imaginary neutrino mass

Fargion, Daniele; D’Armiento, D.

doi:10.1088/0954-3899/39/8/085002

Cited by 13 publications

(4 citation statements)

References 37 publications

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“…(ii) Neutrino mixing.-It has been pointed out [83] that the observed oscillations between neutrinos of different flavors are strongly suppressed if the LIV parameters ð Þ and ð e Þ differ by more than Ám 2 1;2 =EðÞ 2 $ 10 À18 for EðÞ $ Oð10 MeVÞ and Ám 2 1;2 $ 10 À4 eV 2 . Assuming however an energy-independent common LIV, ð i Þ & 10 À10 seems quite consistent with all other data, in particular the supernova 1987 upper bound of $10 À8 on ð e Þ [39,40].…”

Section: Discussionmentioning

confidence: 99%

Testing violations of Lorentz invariance with cosmic rays

Cowsik¹,

Madziwa-Nussinov²,

Nussinov

et al. 2012

Phys. Rev. D

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Cosmic rays are the highest energy particles available for our study, and as such serve as excellent probes of the effects of Lorentz invariance violations which are expected to increase with energy. This general paradigm is investigated in this paper by studying the effects of such violations within the Coleman-Glashow model in which each particle species may have its own maximum attainable velocity, even exceeding that of light in vacuo. The particular focus here is that the muon neutrino may have the maximum speed exceeding that of light. We show that such an assumption leads to the elongation of the decay lifetime of the pion which increases with energy over and above the time dilation effects. We provide a transparent analytical derivation of the spectral intensities of muon neutrinos and muons generated in the Earth's atmosphere by cosmic rays. In this derivation we not only account for elongation of the pion lifetime, but also for the loss of energy by the neutrinos by radiation of the electron-positron pairs through the Cohen-Glashow process during their propagation. We then compare the theoretical spectra with observations of neutrinos and muons from large instruments like IceCube and BUST to set a limit of $10 À13 on the fractional excess speed of neutrinos over that of light. We also show that the ratio of the spectral intensities of downward and upward moving neutrinos at various angles constitute an exclusive diagnostic for the Cohen-Glashow process, which may be searched for in the IceCube data set. We conclude the paper with several comments, including those related to improvements of these tests when definite signals of Griesen-Zatsepin-Kuzmin neutrinos will be observed.

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Section: Discussionmentioning

confidence: 99%

Testing violations of Lorentz invariance with cosmic rays

Cowsik¹,

Madziwa-Nussinov²,

Nussinov

et al. 2012

Phys. Rev. D

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“…Recently, the OPERA experiment reported an alleged evidence for superluminal muon neutrinos [14]. Although it was evident from the beginning that this experimental result contradicts all that we know about neutrinos and weak interactions [15][16][17][18], and hence was most probably due to some unaccounted systematic errors [19][20][21][22][23], it has generated a huge interest in our postmodern physics community. Many explanations of this unexpected and surprising result, one more fantastic than another, were proposed in literature.…”

Section: Introductionmentioning

confidence: 99%

Untitled

Shan¹,

Zhu²

2012

Acta Phys. Pol. B

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As it is well known, classical special relativity allows the existence of three different kinds of particles: bradyons, luxons and tachyons. Bradyons have non-zero mass and hence always travel slower than light. Luxons are particles with zero mass, like the photon, and they always travel with invariant velocity. Tachyons are hypothetical superluminal particles that always move faster than light. The existence of bradyons and luxons is firmly established, while the tachyons were never reliably observed. In quantum field theory, the appearance of tachyonic degrees of freedom indicates vacuum instability rather than a real existence of the faster-than-light particles. However, recent controversial claims of the OPERA experiment about superluminal neutrinos triggered a renewed interest in superluminal particles. Driven by a striking analogy of the old Frenkel-Kontorova model of a dislocation dynamics to the theory of relativity, we conjecture in this note a remarkable possibility of existence of the forth type of particles, elvisebrions, which can be superluminal. The characteristic feature of elvisebrions, distinguishing them from tachyons, is that they are outside the realm of special relativity and their energy remains finite (or may even turn to zero) when the elvisebrion velocity approaches the light velocity.

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“…Predictably the results failed to be supported, and this was due to a reason that all readers of this journal understand: statistical uncertainty. See Fargion and D'Armiento (2012). The important part of this story is that data-analytical results in physics are always subject to replication with unambiguous confirmation or refutation.…”

mentioning

confidence: 99%

Adventures in Replication: An Introduction to the Forum

Gill¹

2018

Polit. Anal.

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Inconsistency in super-luminal CERN–OPERA neutrino speed with the observed SN1987A burst and neutrino mixing for any imaginary neutrino mass

Cited by 13 publications

References 37 publications

Testing violations of Lorentz invariance with cosmic rays

Testing violations of Lorentz invariance with cosmic rays

Untitled

Adventures in Replication: An Introduction to the Forum

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