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REVIEW 3 major objections 6 minor 10 references

Neutrino mass ordering sensitivities at DUNE, HK and KNO in presence of scalar NSI

T0 review · 3 major / 6 minor · reviewed 2026-08-10 · deepseek-v4-flash

Pith's one-line read The paper claims that scalar-mediated neutrino non-standard interactions, parameterized by the diagonal element ηee, can enhance or suppress neutrino mass ordering sensitivity at DUNE and HK+KNO, and that combining the experiments…

desk verdict A concise proceedings restatement of the group's own JHEP 2024 analysis; no new results, under-specified on its own, but qualitatively plausible and honest. read the letter →

arxiv 2412.20026 v1 pith:RTHCMIB7 submitted 2024-12-28 hep-ph

classification hep-ph
keywords NeutrinooscillationBeyondStandardModelNon-standardinteractionsScalarNSIMassorderingDUNEHyper-KamiokandeKNO
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper tries to establish that scalar-mediated neutrino non-standard interactions (scalar NSI), specifically the diagonal parameter ηee, can materially change how well the long-baseline experiments DUNE, Hyper-Kamiokande (HK) and Korea Neutrino Observatory (KNO) can determine the neutrino mass ordering. If scalar NSI exists and is parameterized as in the paper, mass-ordering sensitivity is not a fixed property of each experiment: at DUNE a positive ηee boosts sensitivity while a negative one suppresses it, and at HK+KNO the outcome depends on the CP phase and the value of ηee. The paper also argues that combining DUNE with HK and KNO restores and improves sensitivity, and sharpens the precision on the atmospheric mass splitting |Δm²31|. This matters because mass-ordering determination is a central goal of these experiments, and a standard-only analysis could misread the data if scalar NSI is present.

What carries the argument

The machinery is the effective Hamiltonian in matter with a scalar-mediated interaction, H_SNSI = Eν + Meff Meff†/(2Eν) ± V_SI, where Meff = M + δM and δM equals the dimensionless SNSI matrix η times the mass scale Sm. The parameterization sets Sm ≈ 0.05 eV, so the scalar NSI effect is a matter-density-proportional perturbation to the mass matrix rather than to the potential. This perturbation changes the oscillation probabilities, and the paper tracks its consequences through the χ² statistic of Eq. (4), comparing event rates from a true ordering against a test ordering while marginalizing over δCP, θ23, and ηee.

What would settle it

A definitive test would be to measure ηee independently, for example in a short-baseline or scattering experiment, and then check whether DUNE's observed ability to distinguish normal from inverted ordering rises for a positive ηee and falls for a negative one exactly as predicted; a mismatch between predicted and observed sensitivity as a function of the sign and magnitude of ηee would falsify the central claim.

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Extended reading notes

Core claim

The paper's central discovery is that the scalar NSI contribution, entering as a medium-dependent shift of the neutrino mass matrix δM = Sm η, changes the effective oscillation Hamiltonian and therefore the reconstructed mass-ordering sensitivity at each experiment. Concretely, with normal ordering as true, DUNE's sensitivity is enhanced by positive ηee and suppressed by negative ηee relative to the standard-interactions case; for inverted ordering the sensitivity is likewise shifted. For HK+KNO the effect is not monotone: it depends on the combination of δCP and ηee. Combining the three experiments improves the sensitivity for positive ηee under normal ordering and yields tighter constraints on |Δm²31| than any single experiment for all three diagonal SNSI elements ηee, ημμ, and ηττ.

Load-bearing premise

The predictions assume the simulated detector responses for DUNE, HK and KNO are accurate and that the scalar NSI parameters are already known from other non-long-baseline experiments; if either assumption fails, the claimed enhancements and suppressions of mass-ordering sensitivity would not be the observed ones.

Editorial extensions

If this is right

  • If scalar NSI is present, DUNE's mass-ordering sensitivity is sign-dependent: a positive ηee boosts it for normal ordering, while a negative ηee suppresses it, so a weak or null ordering signal could be a new-physics effect rather than a statistical fluke.
  • For HK+KNO, the mass-ordering sensitivity cannot be quoted without specifying δCP and ηee; interpretations of these experiments' ordering reach must be made within a joint parameter plane.
  • Combining DUNE, HK and KNO recovers sensitivity that each experiment alone may lose and improves the precision of |Δm²31| for each of the diagonal scalar NSI elements considered.
  • The linear scaling of scalar NSI with matter density means that the same new physics produces larger effects at longer baselines or denser matter, so comparisons across experiments of different baselines encode information about the scalar coupling.
  • If these claims hold, future global fits that include these experiments will need to treat scalar NSI parameters as nuisance parameters or external inputs, not ignore them.

Reading between the lines

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

  • If a positive ηee is real but unaccounted for, an experiment like DUNE could overstate its confidence in normal ordering, since the boost looks like a stronger signal; conversely, a negative ηee could hide a true normal ordering behind a suppressed sensitivity.
  • The HK+KNO dependence on the δCP–ηee combination suggests that these two parameters are partially degenerate, so a joint analysis over both, rather than separate marginalizations, is needed to avoid biasing the inferred ordering.
  • A cross-baseline consistency check would be a sharp test: because scalar NSI scales linearly with matter density, the value of ηee reconstructed from DUNE should match that from HK and KNO if the model is correct; disagreement would point to missing physics or an incorrect SNSI parameterization.
  • The results imply that in the presence of scalar NSI, 'mass ordering sensitivity' is not a single number for an experiment; the community would need to quote sensitivity maps over the SNSI parameter space rather than point values.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. This manuscript, a proceedings contribution to NuFact 2024, studies how scalar non-standard interactions (SNSI) affect the neutrino mass ordering (MO) sensitivities of DUNE, HK+KNO, and their combination. Using GLoBES simulations and a chi-square defined in Eq. (4), the authors marginalize over oscillation parameters and the diagonal SNSI parameters η_ee, η_μμ, and η_ττ. They report that a positive (negative) η_ee enhances (suppresses) DUNE's MO sensitivity for true normal ordering, that the HK+KNO sensitivity depends on the combination of δ_CP and η_ee, and that combining DUNE with HK and KNO improves both the MO sensitivity and the precision of |Δm^2_31|. The paper is explicitly a summary of a longer JHEP publication (Ref. [6]).

Significance. If the reported effects are correct, they are relevant for interpreting future long-baseline data in the presence of SNSI and for planning the combination of DUNE with HK and KNO. The qualitative direction of the effects is plausible and consistent with known matter effects. A strength of the paper is that it is based on the GLoBES simulation framework and cites a companion JHEP paper for additional details. Nevertheless, as submitted the manuscript does not contain the figures or numerical tables that would allow the claims to be checked, and the lack of systematic uncertainties and the ambiguity in the SNSI density normalization are load-bearing issues. The paper would be of value to the proceedings audience once these points are clarified.

major comments (3)
  1. [Section 2, Eq. (3)] The definition δM ≡ Σ_f n_f y_f y_αβ / m_φ^2 is explicitly proportional to the ambient fermion density, but Eq. (3) replaces it by δM = S_m η with a constant S_m and a dimensionless matrix η. These two forms are compatible only if η itself is density-dependent, e.g., evaluated at a reference Earth density and rescaled along the baseline. The paper never states a reference density or a rescaling prescription, and no description of the GLoBES implementation of SNSI is given. Because DUNE and HK+KNO have different baselines and matter density profiles, the relative sensitivities claimed in Section 4 depend critically on this normalization. This is an internal inconsistency that directly affects the paper's central claim about enhanced or suppressed MO sensitivities.
  2. [Section 4, Figs. 1-2] The quantitative results are presented only as figure captions; the figures themselves are not included in the manuscript as provided, and no numerical values for the MO sensitivity or the |Δm^2_31| precision are reported. The sentences describing 'MO sensitivities in the presence of η_ee' and 'the precision measurement of Δm^2_31' cannot be verified or reproduced from the text. For the claims to be assessable, the figures or a table of numerical results need to be included.
  3. [Section 3, Eq. (4)] The chi-square in Eq. (4) contains no systematic uncertainties, and the manuscript lists no detector parameters (exposures, efficiencies, energy resolutions, backgrounds) for DUNE, HK, or KNO. The text states that the analysis marginalizes over δ_CP, θ23, and η_ee, but Eq. (4) shows only a minimization over η. The absence of systematics is especially problematic because the claimed SNSI-induced modifications to MO sensitivity are relative effects that could be degenerate with systematic errors in event rates.
minor comments (6)
  1. [Section 2] The word 'Yukuwa' should be 'Yukawa'.
  2. [Section 2] The expression 'Sm = √(2.5 × 10^{-3} eV^2 ≈ 0.05 eV' is notationally confusing; it should be written as 'S_m = √(2.5 × 10^{-3}) eV ≈ 0.05 eV'.
  3. [Section 3, Eq. (4)] The equation uses 'min_η' but the surrounding text says the marginalization is over δ_CP, θ23, and η_ee; please align the notation.
  4. [Section 4, Figs. 1-2] The captions of Figs. 1 and 2 do not define the line styles, colors, or panels; please add legend information.
  5. [Abstract] The claim that SNSI 'allows for the exploration of absolute neutrino masses via oscillation experiments' is not supported by anything in the text; please clarify or remove this statement.
  6. [Throughout] As a proceedings summary, the paper refers to the companion JHEP paper (Ref. [6]); for reproducibility, the assumed values of the SNSI parameters η_ee, η_μμ, and η_ττ should be stated or explicitly referenced.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the MO sensitivity claims are simulation outputs, not reductions of their inputs.

full rationale

The paper's MO sensitivity claims are produced by a GLoBES simulation over the standard oscillation Hamiltonian plus the SNSI mass perturbation δM = S_m η (Eq. 3), with benchmark parameters taken from NuFit. The target quantities—sensitivity to the mass-ordering hypothesis and precision on |Δm²_31|—are not used to set S_m, η, or the detector response; they are computed via the χ² statistic (Eq. 4) from simulated event rates. The self-citation to the authors' prior JHEP paper [6] is used only for the same parameterization already attributed to the external Ge-Parke reference [1], and it is not invoked to prove or force the simulation outcome. The stated assumption that SNSI parameters are known from other non-LBL experiments is an external-data dependence, not a circular definition. The lack of explicit detector exposures, resolutions, efficiencies, and systematics, and the density-scaling ambiguity in δM, are technical modeling concerns that could affect correctness, but they do not make any claimed result equal to its input by construction. The derivation chain is therefore self-contained with respect to circularity.

Assumptions & free parameters 1 free parameters · 4 assumptions · 0 invented entities

The central claims rest on the existing scalar NSI framework, externally known or benchmark parameter values, and the GLoBES simulation tool. No new particles or entities are introduced by this paper; the only hand-chosen numerical input is the scaling Sm.

free parameters (1)
  • Sm = sqrt(2.5e-3) eV^2 approx 0.05 eV
    Scaling constant in the SNSI matrix delta_M = Sm * eta in Eq. (3), chosen by hand to represent a typical Delta m^2_31 scale. The MO sensitivity results depend on this scaling choice.
assumptions (4)
  • domain assumption The scalar NSI is described by an effective Lagrangian with a light scalar mediator and Yukawa couplings (Eq. 1).
    Adopted from Ge and Parke (Ref. [1]); the paper does not derive this model.
  • domain assumption SNSI parameters eta_alpha_beta are assumed to exist and to be known from other non-LBL experiments.
    Stated in the Abstract; this premise underlies the entire sensitivity study.
  • domain assumption GLoBES correctly simulates the DUNE, HK and KNO experimental configurations.
    Used in the Methodology; no detector details are given to check the simulation.
  • domain assumption Benchmark oscillation parameters from NuFit 6.0 are correct.
    Taken from Ref. [8]; the sensitivity numbers inherit these values.

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Cite this review

Pith. "Pith review of Neutrino mass ordering sensitivities at DUNE, HK and KNO in presence of scalar NSI." pith.science (2026). https://pith.science/paper/RTHCMIB7

@misc{pith2026241220026,
  author       = {Pith},
  title        = {Pith review of: Neutrino mass ordering sensitivities at DUNE, HK and KNO in presence of scalar NSI},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/RTHCMIB7}},
  note         = {Machine review of arXiv:2412.20026}
}
read the original abstract

The limitations of the Standard Model in explaining neutrino masses and neutrino mixing lead to the exploration of frameworks beyond the Standard Model (BSM). The possibility of neutrinos interacting with fermions via a scalar mediator is one of the interesting prospects. The study of neutrino non-standard interactions (NSI) is a well-motivated phenomenological scenario to explore new physics beyond the Standard Model. These new interactions may alter the standard neutrino oscillation probabilities, potentially leading to observable effects in experiments. It also allows for the exploration of absolute neutrino masses via oscillation experiments. It can modify the oscillation probabilities, which in turn can affect the physics sensitivities in long-baseline experiments. The linear scaling of the effects of scalar NSI with matter density also motivates its exploration in long-baseline (LBL) experiments. We will present our study on the impact of a scalar-mediated NSI on the mass ordering (MO) sensitivities of three long-baseline neutrino experiments, i.e., DUNE, HK and KNO. We study the impact on MO sensitivities at these experiments assuming that scalar NSI parameters are present in nature and are known from other non-LBL experiments. The presence of scalar NSI can notably impact the MO sensitivities of these experiments. Furthermore, we analyze the potential synergy by combining data from DUNE with HK and HK+KNO, thereby exploring a broader parameter space.

Figures

Figures reproduced from arXiv: 2412.20026 by the authors.

Figure 1
Figure 1. MO sensitivities of DUNE (left panel), HK+KNO (middle panel) and [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. The precision measurement of ∆m2 31 in presence of ηee (left), ηµµ (mid￾dle) and ητ τ (right) for DUNE (red), HK+KNO(black) and DUNE+HK+KNO (blue). Acknowledgements MMD acknowledges SERB, DST for the grant CRG/2021 /002961. AS acknowledges CSIR-HRDG (09/0796(12409)/2021-EMR-I). DB ac￾knowledges DST INSPIRE for the financial support provided through the IN￾SPIRE Fellowship [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗

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Works this paper leans on

10 extracted references · 3 canonical work pages

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Reviewed August 10, 2026 · model on record in the stance chip above.