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arxiv: 2605.15146 · v1 · submitted 2026-05-14 · ✦ hep-ph · astro-ph.CO· hep-ex

Recognition: 2 theorem links

· Lean Theorem

Effective Matter Flavor Conversion Mediated by Pseudo-Sterile States as the Possible Origin of Neutrino Oscillation Anomalies

Sabya Sachi Chatterjee , Antonio Palazzo
Authors on Pith no claims yet

Pith reviewed 2026-05-15 03:04 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.COhep-ex
keywords neutrino oscillationssterile neutrinosmatter effectsneutrino anomaliesnon-standard interactions3+1 modelIceCubelong-baseline experiments
0
0 comments X

The pith

A new matter potential felt by sterile neutrinos reconciles multiple neutrino oscillation anomalies in a 3+1 model.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces a 3+1 neutrino framework in which sterile neutrinos experience an additional matter potential Vs proportional to the density of ordinary or asymmetric dark matter. At energies below 1 TeV this potential produces effective non-standard interactions among the three active flavors, removing the tension between the long-baseline results of NOvA and T2K when Vs is negative and both theta14 and theta24 are nonzero. The same potential modifies the atmospheric resonance at a few GeV, accounting for the excess of electron-like events seen in Super-Kamiokande. At energies around 10 TeV the four-flavor dynamics generate a new resonance that matches a hint in IceCube data while the small mu-sterile mixing avoids conflict with muon-disappearance bounds.

Core claim

In the 3+1 scheme the sterile state feels a matter potential Vs = f * |V_NC| with f approximately -20. This term creates an irreducible three-level dynamics that produces effective active-neutrino mixing angles in matter, eliminates the NOvA-T2K discrepancy at low energy, explains the Super-Kamiokande atmospheric excess through a shifted resonance, and yields a high-energy resonance near 10 TeV. The required parameters are Delta m^2_41 approximately 60 eV^2, sin^2 theta14 approximately 0.01-0.03, and sin^2 theta24 approximately 10^-4 to 10^-3.

What carries the argument

The sterile-neutrino matter potential Vs, which augments the standard MSW Hamiltonian and drives new resonances among the four flavor states.

If this is right

  • The model removes the tension between NOvA and T2K provided Vs is negative and the two sterile mixing angles are nonzero.
  • It accounts for the Super-Kamiokande atmospheric electron-like excess by shifting the three-flavor resonance at a few GeV.
  • At high energy it produces a resonant enhancement near 10 TeV that matches the IceCube hint while the small muon-sterile mixing avoids conflict with disappearance searches.
  • The scenario is directly testable by KATRIN through its sensitivity to the electron-sterile admixture at large Delta m^2_41.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If confirmed, the potential could be generated by a new long-range force coupled to ordinary or dark-matter density, suggesting a link between neutrino oscillations and dark-sector physics.
  • The same mechanism might produce observable effects in other dense environments such as supernovae or the early universe.
  • Future high-statistics atmospheric and accelerator data could distinguish this density-dependent effect from constant non-standard interaction parameters.

Load-bearing premise

The existence of a negative sterile matter potential with the specific ratio f approximately -20, introduced by hand to match the anomalies.

What would settle it

A high-precision measurement of the electron-sterile mixing angle by KATRIN in the mass-squared region near 60 eV^2, or the absence of the predicted resonance feature in IceCube data around 10 TeV.

Figures

Figures reproduced from arXiv: 2605.15146 by Antonio Palazzo, Sabya Sachi Chatterjee.

Figure 1
Figure 1. Figure 1: FIG. 1: Allowed regions for the two NSI couplings [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: The left (right) panel represents the allowed regions for NO (IO) at the 68%, 90% and 99% C.L. for 2 d.o.f. by the [PITH_FULL_IMAGE:figures/full_fig_p009_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Allowed regions by NOvA and T2K for normal ordering. The left panel represents the 3-flavor framework, while the [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Daytime survival probability of solar neutrinos averaged over the [PITH_FULL_IMAGE:figures/full_fig_p013_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Allowed regions of the two displayed parameters assuming interaction with electron/protons [PITH_FULL_IMAGE:figures/full_fig_p014_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: The plots represent the electron neutrino appearance probability for energies around a few GeV, where the MSW [PITH_FULL_IMAGE:figures/full_fig_p018_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: The three panels represent the “bare level crossing diagram” obtained by setting to zero all the six mixing angles. The [PITH_FULL_IMAGE:figures/full_fig_p021_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8: The six panels summarize the properties of the ordinary 3+1 scheme for constant density equal to Earth mantle value. [PITH_FULL_IMAGE:figures/full_fig_p022_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: The six panels summarize the results obtained in the 3+1 scheme with the new potential for the benchmark case [PITH_FULL_IMAGE:figures/full_fig_p023_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10: The six panels summarize the behavior of the model in the resonance region highlighting the transition of the system [PITH_FULL_IMAGE:figures/full_fig_p025_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11: The three panels summarize the results obtained in the 3+1 scheme with the new potential for a non-zero value of [PITH_FULL_IMAGE:figures/full_fig_p027_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12: Oscillation probabilities for the ordinary 3+1 scheme (left panels) and the 3+1 scheme with new potential (right [PITH_FULL_IMAGE:figures/full_fig_p029_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: FIG. 13: Oscillograms for the ordinary 3+1 scheme (left panel) and the 3+1 scheme with new potential (right panel). The left [PITH_FULL_IMAGE:figures/full_fig_p030_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: FIG. 14: Illustration of the IceCube resonance for parameters in the dark [PITH_FULL_IMAGE:figures/full_fig_p033_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: FIG. 15: The figure illustrates the IceCube resonance assuming that the new matter potential is proportional to a constant [PITH_FULL_IMAGE:figures/full_fig_p035_15.png] view at source ↗
read the original abstract

Neutrino oscillation experiments present anomalous results across a vast range of baselines and energies. Here we show that a 3+1 scenario in which sterile neutrinos feel a novel matter potential $V_s$ proportional to background density of ordinary or (asymmetric) dark matter is able to explain several anomalies. At low-energies ($E\lesssim$ 1 TeV) the model behaves as an effective 3-flavor NSI-like scheme among active flavors and eliminates the tension between the two LBL experiments NOvA and T2K provided that the potential is negative and the two sterile mixing angles $\theta_{14}$ and $\theta_{24}$ are non-zero. A further indication in favor of a negative non-zero potential comes from the anomalous excess of $\nu_e$-like events observed in Super-Kamiokande atmospheric neutrinos, which, in the new scenario is explained by a modification of the 3-flavor resonance at few GeV. A high energies ($E\gtrsim $ 1 TeV) the new framework reveals its 4-flavor nature and produces a resonant behavior at $E \simeq$ 10 TeV as hinted at by IceCube. We identify an irreducible 3-level dynamics generating a new resonance in the $(\nu_e, \nu_\mu)$ sector intertwined with two conventional resonances in the $(\nu_e, \nu_s$) and $(\nu_\mu, \nu_s)$ systems. The novel amplification mechanism manifests with the emergence of effective mixing angles in matter ($\theta_{12}^m$ or $\theta_{13}^m$) involving active neutrinos. The scenario requires values of $f = V_s/|V_{NC}| \sim -20 $, $\Delta m^2_{41} \sim 60 $ eV$^2$, $|U_{e4}|^2\simeq \sin^2\theta_{14} \simeq 0.01-0.03$ and $|U_{\mu4}|^2 \simeq \sin^2\theta_{24}\simeq 10^{-4}-10^{-3}$. Such a very small size of $|U_{\mu4}|^2$ eliminates the tension between IceCube and the other $\nu_\mu$ disappearance searches. The model can be directly probed by KATRIN, which is very sensitive to the electron-sterile neutrino admixture in the region of high $\Delta m^2_{41}$.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 1 minor

Summary. The paper claims that a 3+1 neutrino scenario with sterile neutrinos subject to a novel matter potential Vs proportional to the density of ordinary or asymmetric dark matter can explain multiple neutrino oscillation anomalies. At low energies, it mimics 3-flavor NSI to resolve NOvA-T2K tension for negative f ≈ -20 with non-zero θ14 and θ24. It accounts for Super-K atmospheric νe excess via modified resonance and predicts a resonance at E ≈ 10 TeV matching IceCube hints. The required parameters are f ∼ -20, Δm²41 ∼ 60 eV², |Ue4|² ≈ 0.01-0.03, |Uμ4|² ≈ 10^{-4}-10^{-3}, and it is testable at KATRIN.

Significance. Should the ad hoc sterile matter potential be grounded in a more fundamental theory, this model would represent a significant advance by providing a unified phenomenological framework for anomalies in long-baseline, atmospheric, and high-energy neutrino data. It introduces an amplification mechanism through 3-level dynamics and effective matter mixing angles, potentially opening new avenues for sterile neutrino searches and dark matter interactions. The small μ-sterile mixing helps consistency with existing bounds.

major comments (3)
  1. Abstract: The specific value f ≈ -20 for the sterile potential Vs = f |V_NC| is chosen to reproduce the NOvA-T2K tension and Super-K excess rather than derived from a Lagrangian or symmetry, as no such derivation is indicated; this makes the explanation circular as noted in the parameter selection.
  2. Abstract: The emergence of the 10 TeV resonance is tied directly to the input Δm²41 ≈ 60 eV² and the assumed form of Vs, so it does not constitute an independent prediction but follows by construction from the tuned parameters.
  3. Abstract: The manuscript does not provide quantitative measures of fit quality, such as χ²/dof or statistical significance for how well the model resolves the mentioned anomalies, which is necessary to assess the strength of the claims.
minor comments (1)
  1. Abstract: The notation for the potential Vs and f could be clarified with an explicit equation in the main text for better readability.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We thank the referee for the careful review and constructive feedback on our manuscript. We address each major comment below, providing clarifications on the phenomenological nature of the model while committing to revisions that improve the presentation without misrepresenting the work.

read point-by-point responses

  1. Referee: Abstract: The specific value f ≈ -20 for the sterile potential Vs = f |V_NC| is chosen to reproduce the NOvA-T2K tension and Super-K excess rather than derived from a Lagrangian or symmetry, as no such derivation is indicated; this makes the explanation circular as noted in the parameter selection.

    Authors: We agree that f ≈ -20 is a phenomenological choice selected to accommodate the NOvA-T2K tension and Super-K excess within the effective 3+1 framework. The model introduces Vs as an effective matter potential (possibly linked to dark matter interactions) without claiming a fundamental Lagrangian derivation in this work, which is standard for effective neutrino models. This is not circular but reflects the data-driven parameter selection common in oscillation phenomenology. We will revise the abstract and introduction to explicitly state the phenomenological status and briefly discuss possible microscopic origins. revision: partial

  2. Referee: Abstract: The emergence of the 10 TeV resonance is tied directly to the input Δm²41 ≈ 60 eV² and the assumed form of Vs, so it does not constitute an independent prediction but follows by construction from the tuned parameters.

    Authors: The 10 TeV resonance arises from the 4-flavor dynamics and 3-level amplification mechanism once Δm²41 and Vs are fixed by lower-energy data. While the position depends on these inputs, the model unifies the low-energy anomalies with the high-energy IceCube hint through the same parameters, which we view as a non-trivial consistency check rather than an independent prediction. We will add clarifying language in the abstract and discussion section to note this dependence explicitly. revision: yes

  3. Referee: Abstract: The manuscript does not provide quantitative measures of fit quality, such as χ²/dof or statistical significance for how well the model resolves the mentioned anomalies, which is necessary to assess the strength of the claims.

    Authors: We acknowledge that quantitative fit metrics are important for assessing the model's performance. The current work emphasizes the qualitative resolution of tensions and the emergence of resonances across energy scales, with parameter ranges identified to accommodate the data. In the revised manuscript we will include a dedicated section or table providing χ² estimates or goodness-of-fit indicators for the relevant datasets (NOvA, T2K, Super-K, IceCube) using the quoted parameter values. revision: yes

standing simulated objections not resolved
  • A fundamental derivation of the sterile matter potential Vs from an underlying Lagrangian or symmetry principle.

Circularity Check

1 steps flagged

Sterile matter potential f ≈ -20 and oscillation parameters chosen to fit anomalies, making claimed explanations and resonances equivalent to input tuning

specific steps
  1. fitted input called prediction [Abstract]
    "The scenario requires values of f = V_s/|V_{NC}| ∼ -20 , Δm²₄₁ ∼ 60 eV², |U_{e4}|^2 ≃ sin²θ₁₄ ≃ 0.01-0.03 and |U_μ4|^2 ≃ sin²θ₂₄ ≃ 10^{-4}-10^{-3}."

    These numerical values are not derived from any underlying interaction or symmetry but are instead required to reproduce the observed anomalies (NOvA-T2K tension, Super-K excess, IceCube resonance). The low-energy NSI-like behavior and the high-energy 3-level resonance at ∼10 TeV are therefore direct consequences of the parameter choice rather than independent predictions.

full rationale

The paper introduces a 3+1 model with a novel sterile matter potential Vs = f V_NC (f ∼ -20) to resolve NOvA-T2K tension, Super-K atmospheric excess, and IceCube high-energy hints. The abstract explicitly states that the scenario 'requires' these specific values of f, Δm²₄₁ ∼ 60 eV², and the mixing angles to produce the effective NSI-like behavior at low energy and the 10 TeV resonance. No Lagrangian, symmetry, or first-principles derivation is supplied for the sign or magnitude of f; the parameters are selected to match the very data sets the model claims to explain. Consequently the 'predictions' (resonance location, effective mixing angles in matter) reduce directly to the fitted inputs by construction, satisfying the fitted-input-called-prediction pattern.

Axiom & Free-Parameter Ledger

4 free parameters · 2 axioms · 1 invented entities

The model adds one new free parameter (the strength and sign of Vs) and postulates a sterile neutrino with its own matter potential; all other elements are standard 3+1 mixing and the usual MSW Hamiltonian.

free parameters (4)
  • f = Vs / |V_NC|
    Fitted to approximately -20 to produce the required low-energy NSI-like behavior and high-energy resonance.
  • Δm²₄₁
    Set to ~60 eV² to place the sterile resonance in the observed energy windows.
  • sin²θ₁₄
    Chosen in 0.01-0.03 to match electron-sterile mixing needed for the anomalies.
  • sin²θ₂₄
    Chosen in 10^{-4}-10^{-3} to avoid tension with muon disappearance data.
axioms (2)
  • standard math Standard 3+1 neutrino mixing matrix and MSW matter Hamiltonian apply without modification except for the added Vs term on the sterile state.
    Invoked throughout the description of effective 3-flavor and 4-flavor regimes.
  • ad hoc to paper The new potential Vs is proportional to background density and can be negative.
    Introduced without derivation from a UV-complete theory.
invented entities (1)
  • sterile matter potential Vs no independent evidence
    purpose: To generate effective NSI among active flavors at low energy and a new resonance at high energy.
    Postulated to explain the anomalies; no independent evidence or falsifiable prediction outside the fitted parameters is given.

pith-pipeline@v0.9.0 · 5769 in / 1860 out tokens · 58853 ms · 2026-05-15T03:04:32.183627+00:00 · methodology

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Reference graph

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