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 O. L. G. Peres Physics , 1998, DOI: 10.1016/S0920-5632(99)00307-2 Abstract: I summarize here the results of a global fit to the full data set corresponding to 33.0 kt-yr of data of the Super-Kamiokande experiment as well as to all other experiments in order to compare the active-active and active-sterile neutrinos oscillation channels to the atmospheric neutrino anomaly.
 P. Di Bari Physics , 2000, Abstract: Cosmology cannot rule out the solution nu_mu <-> nu_s to the atmospheric neutrino data and thus only Earth experiments will be able to give a definitive answer. This conclusion holds when a generation of lepton number is taken into account and one assumes that the sterile neutrino is also slightly mixed with an eV-tau neutrino. This result cannot be spoiled by a chaotic generation of lepton domains.
 Physics , 2001, DOI: 10.1103/PhysRevD.65.073027 Abstract: We investigate the CP violation effect and the matter effect in the long-baseline neutrino oscillations in the four-neutrino model with mass scheme of the two pairs of two close masses separated by a gap of the order of 1 eV by using the constraints on the mixing matrix derived from the solar neutrino deficit, atmospheric neutrino anomaly, LSND experiments, and the other terrestrial neutrino oscillation experiments. We also use the results of the combined analyses by Gonzalez-Garcia, Maltoni, and Pe\~na-Garay of the solutions to the solar and atmospheric neutrino problems with the recent SNO solar neutrino data. For the solution of close-to-active solar neutrino oscillations plus close-to-sterile atmospheric neutrino oscillations, the pure CP violation part of the oscillation probability difference between the CP-conjugate channels could attain as large as $0.10-0.25$ in the neutrino energy range of $E = 6-15$ GeV at the baseline $L = 730$ km for $\nu_\mu\to\nu_\tau$ oscillation, and the matter effect is at the $8-15%$ level of the pure CP violation effect, while for the solution of near-pure-sterile solar neutrino oscillations plus near-pure-active atmospheric neutrino oscillations, the pure CP violation effect in $\Delta P(\nu_\mu\to\nu_\tau)$ is very small $(\sim 0.01)$ and is comparable to the matter effect. For $\nu_\mu\to\nu_e$ oscillation, the pure CP violation effect is independent of the active-sterile admixture and is at most 0.05 in $E = 1.5-3$ GeV at $L = 290$ km and the matter effect is at the $15-30%$ level.
 Physics , 2012, DOI: 10.1103/PhysRevD.86.113014 Abstract: We present a complete update of the analysis of electron neutrino and antineutrino disappearance experiments in terms of neutrino oscillations in the framework of 3+1 neutrino mixing, taking into account the Gallium anomaly, the reactor anomaly, solar neutrino data and nu_e-C scattering data. We discuss the implications of a recent 71Ga(3He,3H)71Ge measurement which give information on the neutrino cross section in Gallium experiments. We discuss the solar bound on active-sterile mixing and present our numerical results. We discuss the connection between the results of the fit of neutrino oscillation data and the heavy neutrino mass effects in beta-decay experiments (considering new Mainz data) and neutrinoless double-beta decay experiments (considering the recent EXO results).
 Physics , 2013, DOI: 10.1140/epjc/s10052-014-2936-x Abstract: The short-baseline neutrino oscillation experiments, the excess of radiation from the measurement of the cosmic microwave background radiation, the necessity of the nonbaryonic dark matter candidate and the depletion of the neutrino flux in IceCube all seem to hint at new physics beyond the standard model. An economical way to address these issues is to invoke the existence of sterile neutrinos. We present simple extensions of the standard model with additional three sterile neutrinos and discuss the corresponding PMNS like neutrino flavor mixing matrix. The noteworthy features of the sterile neutrino scenario advocated here is that the lightest one is almost degenerate with one of the active neutrinos, the second sterile has mass of order eV and the heaviest one is in the keV range. In the present scenario, the short baseline anomaly is explained through $\Delta m^2\sim 1\, {\rm eV^2}$, the depletion of muon neutrino flux in IceCube is explained through $\Delta m^2\sim 4.0\times 10^{-16}\, {\rm eV^2}$ and the dark matter problem is addressed through $\Delta m^2\sim 1\, {\rm keV^2}$. Our proposed mixing matrix is also compatible with the observed neutrino oscillation data. We show that the high energy muon and the tau neutrino fluxes from Gamma Ray Bursts can be depleted in IceCube by as much as 38% and 43% respectively. These substantial depletion in both muon and tau neutrino fluxes is due to their small but sizable mixing with the sterile neutrinos.
 Physics , 2000, DOI: 10.1103/PhysRevD.63.053008 Abstract: In the context of neutrino scenarios characterized by four (three active plus one sterile) neutrino species and by mass spectra with two separated doublets, we analyze solutions to the atmospheric neutrino anomaly which smoothly interpolate between \nu_\mu-->\nu_\tau and \nu_\mu-->\nu_s oscillations. We show that, although the Super-Kamiokande data disfavor the pure \nu_\mu-->\nu_s channel, they do not exclude its occurrence, with sizable amplitude, in addition to the \nu_\mu-->\nu_\tau channel. High energy muon data appear to be crucial in assessing the relative amplitude of active and sterile neutrino oscillations. It is also qualitatively shown that such atmospheric \nu solutions are compatible with analogous solutions to the solar neutrino problem, which involve oscillations of \nu_e in both sterile and active states.
 High Energy Physics - Phenomenology , 2013, Abstract: Effects of CP-violating phases in active-sterile solar neutrino oscillations are discussed in a general scheme of 3+N_{s} mixing, without any constraint on the mixing between the three active and the N_{s} sterile neutrinos, assuming only a realistic hierarchy of neutrino mass-squared differences. A generalized Parke formula describing the neutrino oscillation probabilities inside the Sun is calculated. The validity of the analytical calculation and the probability variation due to the unknown CP-violating phases are illustrated with a numerical calculation of the evolution equation in the case of 3+1 neutrino mixing.
 Physics , 2013, DOI: 10.1103/PhysRevD.87.113004 Abstract: Effects of CP-violating phases in active-sterile solar neutrino oscillations are discussed in a general scheme of 3+N_{s} mixing, without any constraint on the mixing between the three active and the N_{s} sterile neutrinos, assuming only a realistic hierarchy of neutrino mass-squared differences. A generalized Parke formula describing the neutrino oscillation probabilities inside the Sun is calculated. The validity of the analytical calculation and the probability variation due to the unknown CP-violating phases are illustrated with a numerical calculation of the evolution equation in the case of 3+1 neutrino mixing.
 Physics , 2012, Abstract: This paper reviews short baseline oscillation experiments as interpreted within the context of one, two, and three sterile neutrino models associated with additional neutrino mass states in the ~1 eV range. Appearance and disappearance signals and limits are considered. We show that fitting short baseline data sets to a (3+3) model, defined by three active and three sterile neutrinos, results in an overall goodness of fit of 67%, and a compatibility of 90% among all data sets -- to be compared to the compatibility of 0.043% and 13% for a (3+1) and a (3+2) model, respectively. While the (3+3) fit yields the highest quality overall, it still finds inconsistencies with the MiniBooNE appearance data sets; in particular, the global fit fails to account for the observed MiniBooNE low-energy excess. Given the overall improvement, we recommend using the results of (3+2) and (3+3) fits, rather than (3+1) fits, for future neutrino oscillation phenomenology. These results motivate the pursuit of further short baseline experiments, such as those reviewed in this paper.
 G. Karagiorgi Physics , 2011, Abstract: Recent neutrino oscillation results have evoked renewed interest in sterile neutrino oscillation models. This paper reviews the data from MiniBooNE and short-baseline reactor antineutrino experiments within the context of sterile neutrinos. The results are incorporated into combined fits to test the viability of sterile neutrino oscillation models, which are later expanded to address matter effects. Finally, future experiments that can resolve the questions that have been raised are discussed.
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