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Prompt atmospheric νµ + νµ neutrino fluxes in comparison to the expected flux of conventional atmospheric neutrinos (Honda et al. + H3a). Model predictions are represented by thin lines [8, 13, 14]. The red shaped area marks the theoretical uncertainty on the prediction of ERS08. Limits for each model are shown as thick lines in the corresponding line style and color in the valid energy range between 2.3 TeV and 360 TeV (see Tab. VI). The baseline model used here is the model ERS08 modified with the cosmic-ray parameterization by Gaisser et al. and is represented by the thick orange line. Other models are shown as published.

Prompt atmospheric νµ + νµ neutrino fluxes in comparison to the expected flux of conventional atmospheric neutrinos (Honda et al. + H3a). Model predictions are represented by thin lines [8, 13, 14]. The red shaped area marks the theoretical uncertainty on the prediction of ERS08. Limits for each model are shown as thick lines in the corresponding line style and color in the valid energy range between 2.3 TeV and 360 TeV (see Tab. VI). The baseline model used here is the model ERS08 modified with the cosmic-ray parameterization by Gaisser et al. and is represented by the thick orange line. Other models are shown as published.

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A search for high-energy neutrinos was performed using data collected by the IceCube Neutrino Observatory from May 2009 to May 2010, when the array was running in its 59-string configuration. The data sample was optimized to contain muon neutrino induced events with a background contamination of atmospheric muons of less than 1%. These data, which...

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... This suppression, confirmed by multiple studies [20][21][22][23], suggests a transition from lighter to heavier particles as energies increase, hinting at profound processes occurring over cosmological distances. Such observations, including the setting of upper limits on the presence of photons [20,24,25], neutrinos [20,26,27], and neutrons [20,28] among these UHECRs, have been crucial in our quest to understand the universe. The observations of a shift in composition at energies beyond 3 × 10 18 eV [29,30] and a suppression in the flux above 4 × 10 19 eV, which could be indicative of the GZK cutoff-a theoretical prediction of energy loss over vast intergalactic travels, were made nearly sixty years ago [18,19]. ...
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... This suppression has been confirmed by multiple studies [17][18][19][20]. Researchers have also set upper limits on the presence of photons [17,21,22], neutrinos [17,23,24], and neutrons [17,25] among the UHECRs. Evidence from the Pierre Auger Observatory suggests a shift from a lighter to a heavier composition as the energy of CRs increases beyond ∼ 3 × 10 18 eV [26,27]. ...
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... The values of the flux normalization and the spectral index, γ, are allowed to float and are fixed in a fit to data that contrasts predicted event rates vs. observed ones. Numerous analyses using IceCube data have used this procedure to measure the diffuse flux of astrophysical and atmospheric neutrinos [3,4,39,[77][78][79][80][81][82][83][84][85]. ...
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... The IceCube Collaboration has observed high-energy astrophysical neutrinos since 2013 [82]. Two measurements of neutrino-nucleon cross sections have been reported. ...
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... The former has a harder spectrum than the latter and dominates at high-energy region. Below 100 TeV, however, atmospheric flux is three to four orders larger than the astrophysical flux [56]. Given the linear proportionality of neutrino-nucleon cross-section to neutrino energy E, spectral index 3.7 and 2 for atmospheric and astrophysical flux, respectively, the DIS event rate of atmospheric neutrinos in this energy range is three orders of magnitude larger than their astrophysical counterpart. ...
... The atmospheric neutrino flux below 10 TeV is taken from HKKM15 [63], and is extrapolated up to 1 PeV by fitting a standard parameterization in [56]. To reduce atmospheric muon background, only up-going neutrinos (zenith angle larger than 90 • ) are kept. ...
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... By the time, when detector AMANDA at the South Pole was constructed, the Monte Carlo calculations of the atmospheric neutrinos (AN) spectra had been performed for the neutrino energies of no more than 10 TeV [12][13][14]. Later, these results were used to reconstruct the events in the IceCube [15] and Super-Kamiokande experiments. ...
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... The atmospheric only hypothesis is disfavored by greater than 5σ in comparison to the single power-law astrophysical plus atmospheric flux hypothesis. Compared to constraints on the prompt normalization from other IceCube samples, the best-fit prompt normalization obtained in the background-only fit is in tension with these results [57,62,193]. Some constraints have been obtained when considering a single-power-law astrophysical component, and are thus dependent on this model assumption. ...
... Some constraints have been obtained when considering a single-power-law astrophysical component, and are thus dependent on this model assumption. However, the constraints from [193] predate the observation of high-energy extraterrestrial neutrinos and are conservative because this scenario is equivalent to zero contribution from the astrophysical flux. The latter results in a constraint of the prompt normalization of 3.80 times the ERS calculation [189] at 90 % C.L.; a model which is approximately 2.5 times larger than the benchmark model used in this analysis. ...
... Thus, e.g. we do not test cosmogenic [194] neutrino flux models, which predict neutrinos from cosmic rays interacting with the Northern sky muons IC59 [193] 3.80 × φERS -Northern sky muons IC86 [57] 1.06 × φERS -All-sky medium-energy starting cascades [62] 1.52 × φERS -HESE 7.5 years (this work) 9.82 × φBERSS 13.29 × φBERSS cosmic microwave background since they are expected to contribute at higher energies where dedicated IceCube searches exist [195]; see [196] for a recent discussion on the expected rate of cosmogenic flux in this analysis energy range. ...
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... The QGSM flux [15] performed for α ψ (0) = 0 and the NSU spectrum was considered by IceCube collaborators as too optimistic prediction [57,58]. At the energies E ν > 10 6 GeV it exceeds the ERS result [22] by about 30%; however, part of this excess is related to the difference of the cosmic-ray spectra used. ...
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We calculate the atmospheric flux of prompt neutrinos, produced in decays of the charmed particles at energies beyond 1 TeV. Cross sections of the D mesons and Λc+ baryons production in pA and πA collisions are calculated in the phenomenological quark–gluon string model (QGSM) which is updated using recent measurements of cross sections of the charmed meson production in the LHC experiments. A new estimate of the prompt atmospheric neutrino flux is obtained and compared with the limit from the IceCube experiment, and with predictions of other charm production models.
... The interesting feature of the Anisimov operator is that in addition to allow the production of a decoupled RH neutrino playing the role of DM particle, it also predicts a contribution, from RH neutrino DM decays, to the flux of very high energy neutrinos detectable at neutrino telescopes [1]. Therefore, the recent IceCube neutrino telescope discovery of a very high energy neutrino component in excess of the well known atmospheric contribution [6,7,8,9,10], prompts the question whether, in addition to an expected, though yet largely undetermined, astrophysical component, the IceCube signal might also receive a contribution of cosmological origin from DM decays. Initial analyses mainly focused on a scenario where heavy DM decays can explain the whole signal and in particular an excess of PeV neutrinos in early data [11,12,13]. ...
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... Following the same table the background associated to prompt neutrinos should be N prompt s ≤ 20 at 90% C.L. in 7.5 years. On the other hand that limit was derived based on [32], in which the upper limit on prompt neutrinos was 3.8×φ ERS , where φ ERS is the theoretical flux of prompt neutrinos calculated in [33]. Recently the upper limit on prompt neutrinos has been improved, reaching the level of 1.06 × φ ERS in [14]. ...
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