Neutrino processes with power law dispersion relations

Mohanty, Sanghamitra; Rao, Soumya

doi:10.1103/physrevd.85.102005

Cited by 3 publications

(4 citation statements)

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“…(2.12)) is suppressed but the |M | 2 is enhanced. The net effect however is a suppression in the Γ(π − → µ −ν µ ) for this case also [11], as shown in figure 1 for…”

Section: Jhep11(2015)022mentioning

confidence: 83%

“…Depending on the sign of ξ n , the neutrinos (antineutrinos) can be either superluminal (ξ n < 0) or subluminal (ξ n > 0). For the superluminal case, it has been shown [11,12] that the presence of the extra terms in the dispersion results in a suppression of π and K decay widths. The phase space suppression for both the subluminal and superluminal dispersions for meson decay and the Cerenkov process ν → νe + e − has been noticed in [9,[13][14][15][16] with limits on Lorentz violation parameters from IceCube events.…”

Section: Jhep11(2015)022mentioning

confidence: 99%

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Lorentz invariance violation and IceCube neutrino events

Tomar

Mohanty

Pakvasa

2015

J. High Energ. Phys.

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The IceCube neutrino spectrum shows a flux which falls of as E −2 for sub PeV energies but there are no neutrino events observed above ∼ 3 PeV. In particular the Glashow resonance expected at 6.3 PeV is not seen. We examine a Planck scale Lorentz violation as a mechanism for explaining the cutoff of observed neutrino energies around a few PeV. By choosing the one free parameter the cutoff in neutrino energy can be chosen to be between 2 and 6.3 PeV. We assume that neutrinos (antineutrinos) have a dispersion relation E 2 = p 2 − (ξ 3 /M Pl ) p 3 , and find that both π + and π − decays are suppressed at neutrino energies of order of few PeV. We find that the µ − decay being a two-neutrino process is enhanced, whereas µ + decay is suppressed. The K + → π 0 e + ν e is also suppressed with a cutoff neutrino energy of same order of magnitude, whereas K − → π 0 e −ν e is enhanced. The n → p + e −ν e decay is suppressed (while then → p − e + ν e is enhanced). This means that theν e expected from n decay arising from p + γ → ∆ → π + n reaction will not be seen. This can explain the lack of Glashow resonance events at IceCube. If no Glashow resonance events are seen in the future then the Lorentz violation can be a viable explanation for the IceCube observations at PeV energies.

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“…(2.12)) is suppressed but the |M | 2 is enhanced. The net effect however is a suppression in the Γ(π − → µ −ν µ ) for this case also [11], as shown in figure 1 for…”

Section: Jhep11(2015)022mentioning

confidence: 83%

Section: Jhep11(2015)022mentioning

confidence: 99%

Lorentz invariance violation and IceCube neutrino events

Tomar

Mohanty

Pakvasa

2015

J. High Energ. Phys.

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“…Threshold effects A key feature of threshold processes is to introduce some small change to the neutrino dispersion relation based on an LV scenario [91]. These changes can produce effects [137][138][139][140][141][142][143][144][145][146] that become more significant at higher energies. The dispersion relation modifications in the SME are tied to the appropriate coefficients as in, for instance [148,149].…”

Section: Coefficientmentioning

confidence: 99%

Astrophysical Neutrinos in Testing Lorentz Symmetry

Roberts

2021

Galaxies

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An overview of searches related to neutrinos of astronomical and astrophysical origin performed within the framework of the Standard-Model Extension is provided. For this effective field theory, key definitions, intriguing physical consequences, and the mathematical formalism are summarized within the neutrino sector to search for effects from a background that could lead to small deviations from Lorentz symmetry. After an introduction to the fundamental theory, examples of various experiments within the astronomical and astrophysical context are provided. Order-of-magnitude bounds of SME coefficients are shown illustratively for the tight constraints that this sector allows us to place on such violations.

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“…At high energy, as a result of modified dispersion relation, photon becomes massive enough to suppress the π 0 decay into two photons. The possible Lorentz invariance violation is motivated from quantum gravity [16][17][18] and in many studies [19][20][21][22][23][24][25] it has been shown that LIV becomes important at very high energy scale. There are stringent constraints on LIV in photon [13][14][15]26] and fermion [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Lorentz invariance violation as an explanation of the muon excess in Auger data

Tomar

2017

Phys. Rev. D

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Abstract:The Auger collaboration has observed the number of muons which is higher than its prediction by existing hadronic interaction models. We explain this excess of muons by using Lorentz invariance violation (LIV) in photon sector. As an outcome of Lorentz invariance violation, the dispersion relation of photon gets modified, which we use for the calculation of π 0 decay width. In the Auger data of primary energy 10 9.8 < E(GeV) < 10 10.2 , we find that the neutral pion decay width is suppressed in comparison to its standard model (SM) counterpart. As a result, we get a large number of muons explaining the observed muon excess. We consider Planck suppressed LIV at order O(p 2 /M 2 Pl ) for studying the photon sector, which is in agreement with the current bounds, and not as tightly constrained as LIV at order O(p/M Pl ).

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Neutrino processes with power law dispersion relations

Cited by 3 publications

References 75 publications

Lorentz invariance violation and IceCube neutrino events

Lorentz invariance violation and IceCube neutrino events

Astrophysical Neutrinos in Testing Lorentz Symmetry

Lorentz invariance violation as an explanation of the muon excess in Auger data

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