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Evidence for an oscillatory signature in atmospheric neutrino oscillation

High Energy Physics - Experiment · Submitted 27 Apr 2004 · 21 references

Pith's verdict: The L/E dip is real and the model comparison is done properly; the soft spots are presentational — an unpublished systematic reference and one garbled sentence — not load-bearing.

T0 · AI review

How this review was made: An AI referee (selfhosted/deepseek-v4.1-flash) read the paper on October 29, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

  1. T0 AI review An AI read the paper and answered a fixed list of questions.
  2. T1 Audit Automatic checks that the references and files the paper relies on exist and match.
  3. T2 Compute The paper's code or calculations re-run with the same results.
  4. T3 Formal statement The claims written out in a formal math language a computer can read.
  5. T4 Proof Those claims proved, and the proof checked by computer.

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· 3 major objections · 8 minor · Ask about this paper · The compiled record · Read the full review →
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arXiv IDhep-ex/0404034 (version 1)
Pith IDB4XZFEGC, Pith's permanent record of this paper and its review
Citationet al, The Super-Kamiokande Collaboration: Y.Ashie. "Evidence for an oscillatory signature in atmospheric neutrino oscillation." arXiv:hep-ex/0404034 (2004). https://pith.science/paper/B4XZFEGC
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Claim paper

Why Pith says this

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Referee report
The paper

The paper claims

Super-Kamiokande reports a dip in the muon-neutrino survival probability plotted against flight length over energy, the shape a sine-squared oscillation predicts.

The reading

If neutrinos really oscillate, the probability that a muon neutrino survives should fall and rise as a sine-squared function of $L/E$, the distance travelled divided by the energy. That sinusoidal shape had never been seen directly: solar neutrinos lose coherence, and reactor and accelerator experiments lacked the statistics. This paper selects the 2,706 atmospheric neutrino events in Super-Kamiokande with the sharpest $L/E$ resolution and plots their rate against $L/E$. A dip appears near 500 km/GeV, at the place where the first oscillation maximum should sit, and the fit to that dip pins the oscillation parameters to $1.9-3.0$ times $10^{-3}$ eV$^2$ in mass splitting with near-maximal mixing. The point is not a new deficit but the shape of the deficit: a smooth disappearance, as neutrino decay or decoherence would produce, cannot make a dip.

What carries the argument

The load-bearing variable is $L/E$ itself: flight length inferred from the reconstructed neutrino direction, divided by the neutrino energy inferred from the total observed Cherenkov light (plus outer-detector deposit for partially contained events). Because the oscillation argument is $1.27 Δm^2 L/E$, a fixed detector resolution in $L/E$ translates into a fixed phase resolution, so events can be cut on their own $L/E$ uncertainty — the paper keeps events with $Δ(L/E) < 70%$ — rather than on energy or angle separately. That cut is what concentrates the sample where the first oscillation maximum is visible, and it is why the analysis can look for the shape of the survival probability rather than only its average.

Extended reading notes

Core claim

The collaboration claims the first direct evidence that the muon-neutrino survival probability follows the sinusoidal $L/E$ dependence of flavour oscillation. Using 1,489 live days of fully contained muon-like and partially contained atmospheric neutrino events, they bin the data in $L/E$ over 43 bins and fit a two-flavour $P(ν_μ → ν_μ) = 1 - $sin$^2 2θ$ sin$^2(1.27 Δm^2 L/E)$ with 25 systematic parameters floating within their estimated uncertainties. The fit gives a minimum $χ^2$ of 37.9 for 40 degrees of freedom at $(sin^2 2θ, Δm^2) = (1.00, 2.4 × 10^{-3}$ eV$^2)$, and the 90% confidence region is $1.9 × 10^{-3} < Δm^2 < 3.0 × 10^{-3}$ eV$^2$ with $sin^2 2θ > 0.90$. Against two alternatives that also reproduce the zenith-angle deficit but predict no dip — neutrino decay and neutrino decoherence — the oscillation fit is better by $Δχ^2$ of 11.3 and 14.5, which the authors translate into roughly 3.4 and 3.8 standard deviations, with a Monte Carlo study putting the decay-mimics-oscillation probability near 0.1%.

Load-bearing premise

The no-oscillation prediction — built from the atmospheric neutrino flux, interaction cross sections and detector model described in a reference listed as a draft in preparation — is accurate enough that the dip near 500 km/GeV is a real feature of the data rather than a residual of the model.

Editorial extensions

If this is right

  • The mass splitting is pinned to a narrow window, $1.9 × 10^{-3} < Δm^2 < 3.0 × 10^{-3}$ eV$^2$ at 90% confidence, so the location of the first oscillation maximum is now predicted rather than merely bounded.
  • Near-maximal mixing is confirmed by the depth of the dip, with $sin^2 2θ > 0.90$ at 90% confidence.
  • Models that explain the atmospheric deficit by neutrinos decaying or losing coherence are disfavoured, because a smooth disappearance cannot produce a dip in $L/E$.
  • The same $L/E$ technique becomes a template for any detector with enough events and adequate $L/E$ resolution to resolve the oscillation shape rather than just the rate.
  • The 500 km/GeV dip position becomes a cross-check target for accelerator and atmospheric measurements made with different systematics.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The authors note that the second and higher oscillation maxima should be washed out by detector resolution, so this is a one-dip measurement; a detector with better $L/E$ resolution would be able to see the next maximum and turn the shape test into a multi-node fit.
  • Because the dip position scales as $1/Δm^2$, the same plot made with a different $L/E$ binning or resolution cut is a consistency test the paper already performs; a future analysis could push this into a shape-only fit that does not rely on the overall normalisation at all.
  • The paper's control sample of electron-like events is flat in $L/E$, which is what one expects if the effect is specific to muon neutrinos; extending that control to a quantitative $ν_e$ oscillation fit would test whether the atmospheric anomaly is purely a two-channel story.
  • If the dip is real, the same $L/E$ structure should appear in any sufficiently large atmospheric data set taken with an independent detector, which makes the plot a portable check rather than a Super-K-specific result.
Original abstract

Muon neutrino disappearance probability as a function of neutrino flight length L over neutrino energy E was studied. A dip in the L/E distribution was observed in the data, as predicted from the sinusoidal flavor transition probability of neutrino oscillation. The observed L/E distribution constrained nu_mu <-> nu_tau neutrino oscillation parameters; 1.9x10^-3 < Delta m^2 < 3.0x10^-3 eV^2 and \sin^2(2theta) > 0.90 at 90% confidence level.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,042 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.03 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Muon neutrino disappearance probability as a function of neutrino flight length L over neutrino energy E was studied. A dip in the L/E distribution was observed in the data, as predicted from the sinusoidal flavor transition probability of neutrino oscillation. The observed L/E distribution constrained nu_mu <-> nu_tau neutrino oscillation parameters; 1.9x10^-3 < Delta m^2 < 3.0x10^-3 eV^2 and \sin^2(2theta) > 0.90 at 90% confidence level.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Muon neutrino disappearance probability as a function of neutrino flight length L over neutrino energy E was studied. contribution 0.86 0.79 0.03 asserted 0.94
s1 A dip in the L/E distribution was observed in the data, as predicted from the sinusoidal flavor transition probability of neutrino oscillation. result 0.91 0.89 0.39 asserted 1.00
s2 The observed L/E distribution constrained nu_mu <-> nu_tau neutrino oscillation parameters; 1.9x10^-3 < Delta m^2 < 3.0x10^-3 eV^2 and \sin^2(2theta) > 0.90 at 90% confidence level. result 1.00 0.92 0.81 asserted 1.00

What kind of paper the classifier reports this is: empirical study 1.00 · evidence from observation or experiment 0.92.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. FIG. 1: Observed charge (photoelectrons) in the OD divided
Figure 3. FIG. 3: Number of events as a function of
Figure 4. FIG. 4: Ratio of the data to the MC events without neutrino
Figure 5. FIG. 5: 68, 90 and 99% C.L. allowed oscillation parameter re

Showing 4 of the paper's 5 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:hep-ex/0404034 by the authors.

References
How later papers used it

78 later papers cite it

Evidence: substantial. 76 of the citing papers share no author with it, and 15 of those carry a confident label from Pith's citation classifier.

Pith read 20 of the 95 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its data or values 3 of 10 papers with this label
How the literature uses it

71 arXiv papers cite this in 88 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States a conflicting result 1 paper

Papers citing it · 50 sentences without a confident label

Contests it 1 paper
  • The authors of [ref] argued that this could explain the Super-Kamiokande atmospheric neutrino data, however, the Super-Kamiokande collaboration itself reported [ref] that this scenario was not supported by their data.

    Sensitivity to neutrino decay with atmospheric neutrinos at INO · Introduction · contest 0.90

Uses its method or tool 1 paper
  • Thus, following [ref] , we choose an energy bin of width $Δlog_10 E = 0.3$, which is about the width of the bins Super-K uses in their own analyses [ref] , centered on $E= m_DM/2$, and we demand that the total predicted signal in this bin be less than the flux of atmospheric muon-neutrinos.

    Discovering Asymmetric Dark Matter with Anti-Neutrinos · Neutrino Constraint · 0.94

Uses its data or values 10 papers
Compares with it 1 paper
Cites it as background 22 papers

Discussion

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