Phenomenology of neutrino oscillations

Bilenky, S.M.; Giunti, C.; Grimus, Walter

doi:10.1016/s0146-6410(99)00092-7

Cited by 368 publications

(587 citation statements)

References 397 publications

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“…In this paper we use the standard names for the regions in tan 2 ϑ-∆m 2 plane (see [7]): Small Mixing Angle (SMA) for 10 −4 < tan 2 ϑ < 10 −1 , 10 −8 eV 2 < ∆m 2 < 10 −3 eV 2 , (1.2)…”

Section: Results In Frequentistmentioning

confidence: 99%

“…[6] for a discussion on the probability content of this statement). Since the simplest explanation of the presence of ν µ or ν τ in the flux of solar neutrino on Earth is neutrino oscillations due to neutrino masses and mixing (see [7]), this is the second model-independent evidence in favor of neutrino mixing, after the up-down asymmetry of multi-GeV atmospheric ν µ -induced events discovered in the Super-Kamiokande experiment [8].…”

Section: Introductionmentioning

confidence: 97%

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Bayesian view of solar neutrino oscillations

Garzelli

Giunti

2001

J. High Energy Phys.

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We present the results of a Bayesian analysis of solar neutrino data in terms of ν e → ν µ,τ and ν e → ν s oscillations, where ν s is a sterile neutrino. We perform a Rates Analysis of the rates of solar neutrino experiments, including the first SNO CC result, and spectral data of the CHOOZ experiment, and a Global Analysis that takes into account also the Super-Kamiokande day and night electron energy spectra. We show that the Bayesian analysis of solar neutrino data does not suffer any problem from the inclusion of the numerous bins of the CHOOZ and Super-Kamiokande electron energy spectra and allows to reach the same conclusions on the favored type of neutrino transitions and on the determination of the most favored values of the oscillation parameters in both the Rates and Global Analysis. Our Bayesian analysis shows that ν e → ν s transitions are strongly disfavored with respect to ν e → ν µ,τ transitions. In the case of ν e → ν µ,τ oscillations, the Large Mixing Angle region is favored by the data (86% probability), the LOW region has some small chance (13% probability), the Vacuum Oscillation region is almost excluded (1% probability) and the Small Mixing Angle region is practically excluded (0.01% probability). We calculate also the marginal posterior probability distributions for tan 2 ϑ and ∆m 2 in the case of ν e → ν µ,τ oscillations and we show that the data imply large mixing almost with certainty and large values of ∆m 2 are favored (2 × 10 −6 eV 2 < ∆m 2 < 10 −3 eV 2 with 86% probability). We present also the results of a standard least-squares analysis of solar neutrino data and we show that the standard goodness of fit test is not able to reject pure ν e → ν s transitions. The likelihood ratio test, which is insensitive to the number of bins of the CHOOZ and Super-Kamiokande energy spectra, allows to reject pure ν e → ν s transitions in favor of ν e → ν µ,τ transitions only in the Global Analysis.

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Section: Results In Frequentistmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Bayesian view of solar neutrino oscillations

Garzelli

Giunti

2001

J. High Energy Phys.

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“…A possible light sterile state ν s might also participate to oscillations in extended 4ν scenarios [32]. In both cases, the standard L/E dependence of the ν µ → ν τ oscillation phase is modified by the so-called MikheyevSmirnov-Wolfenstein (MSW) matter effects in the Earth.…”

Section: Subdominant Oscillations From Extramentioning

confidence: 99%

Phenomenology of neutrino oscillations

Fogli

Lisi

Marrone

et al. 2002

Nuclear Physics B - Proceedings Supplements

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We review the status of several phenomenological topics of current interest in neutrino oscillations: (i) Solar neutrino oscillations after the first Sudbury Neutrino Observatory measurements, including both model-independent and model-dependent results; (ii) Dominant νµ → ντ oscillations of atmospheric and K2K neutrinos, and possible subdominant oscillations induced by either extra states or extra interactions; and (iii) Four-neutrino scenarios embedding the controversial LSND evidence for oscillations.

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“…The (ν µ , ν τ ) combination orthogonal to ν a is probed by atmospheric ν oscillations [2], with different parameters (∆m 2 , θ 23 ) [20]. The third mixing angle θ 13 , needed to complete the 3×3 mixing matrix, is constrained to be small by additional reactor results [21,22], and can be set to zero to a good approximation for our purposes.…”

Section: Introductionmentioning

confidence: 99%

Neutrino oscillations: Global analyses

Fogli¹,

Lisi²,

Marrone

et al. 2003

Nuclear Physics B - Proceedings Supplements

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We review the status of the neutrino oscillation physics (as of June 2003), with a particular emphasis on the present knowledge of the neutrino mass-mixing parameters in a three generation approach. We consider first the ν µ → ν τ flavor transitions of atmospheric neutrinos. It is found that standard oscillations provide the best description of the SK+K2K data, and that the associated mass-mixing parameters are determined at ±1σ (and N DF = 1) as: ∆m 2 = (2.6 ± 0.4) × 10 −3 eV 2 and sin 2 2θ = 1.00 +0.00 −0.05 . Such indications, presently dominated by SK, could be strengthened by further K2K data. Then we analyze the energy spectrum of reactor ν events recently observed at KamLAND and combine them with solar and terrestrial ν data. We find that the solution to the solar ν problem at large mixing angle (LMA) is basically split into two sub-regions, that we denote as LMA-I and LMA-II. The LMA-I solution, characterized by lower values of the squared neutrino mass gap, is favored by the global data fit. Finally, we briefly illustrate how prospective data from the SNO and KamLAND can increase our confidence in the occurrence of standard matter effects in the Sun, which are starting to emerge from current data.

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Phenomenology of neutrino oscillations

Cited by 368 publications

References 397 publications

Bayesian view of solar neutrino oscillations

Bayesian view of solar neutrino oscillations

Phenomenology of neutrino oscillations

Neutrino oscillations: Global analyses

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