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Combined DUNE and Hyper-K break fake CP violation degeneracy

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2026-07-08 16:18 UTC pith:OJNCWHZR

load-bearing objection The paper's headline 'factor of 16' degeneracy reduction is misleading — it measures how much worse Hyper-K is than DUNE, not how much the combination improves over DUNE. The real result is that DUNE alone already does the heavy lifting. the 1 major comments →

arxiv 2607.06108 v1 pith:OJNCWHZR submitted 2026-07-07 hep-ph

Non-Unitarity Effects and Fake CP Violation in Neutrino Oscillation Experiments

Pratima Singh , Alina Naqvi , Suhani Yadav , R.B.Singh , Jyotsna Singh This is my paper
classification hep-ph PACS 14.60.Pq14.60.St13.15.+g
keywords neutrino oscillationnon-unitarityCP violationPMNS matrixDUNEHyper-Kamiokandemass orderingparameter degeneracy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

This paper investigates whether deviations from unitarity in the neutrino mixing matrix — arising from heavy neutral leptons in seesaw models — could produce spurious CP-violating signals at future long-baseline experiments DUNE and Hyper-Kamiokande. The authors decompose the total neutrino-antineutrino CP asymmetry into three components: genuine CP violation from the standard Dirac phase δ_CP, fake CP violation from a non-unitary phase φ_21, and matter-induced asymmetry. They show that the fake contribution can exceed the genuine one in specific intermediate energy windows (reaching ~130% of the genuine signal around 1.5–1.6 GeV at both experiments), meaning an observed CP asymmetry in those bins could be dominated by new physics rather than the standard phase. The central result is that while neither experiment alone can disentangle these effects — Hyper-Kamiokande lacks the matter-effect lever arm to constrain the non-unitary phase, and even DUNE retains residual degeneracy — the two experiments combined reduce the allowed (δ_CP, φ_21) parameter space by a factor of 7 at 1σ and ~16 at 2σ–3σ when tested against the wrong mass ordering. This improvement arises structurally from the complementary baselines (1300 km vs 295 km) and matter-potential regimes, not merely from increased statistics.

Core claim

The paper identifies that non-unitary leptonic mixing, parameterized by a single off-diagonal element α_21 = 0.01 e^{iφ_21}, generates CP asymmetries that are indistinguishable from genuine PMNS CP violation in the oscillation-maximum energy region (fake contribution below 5% of genuine signal) but dominate it in specific intermediate energy windows where the genuine asymmetry is locally suppressed (ratio exceeding 120% at ~1.5–1.6 GeV). The key quantitative finding is that the combined DUNE + Hyper-Kamiokande chi-square analysis suppresses the hierarchy–CP–non-unitarity degeneracy — the three-way confusion between mass ordering, δ_CP, and φ_21 — by a factor of 7 (1σ) to ~16 (2σ–3σ) relative

What carries the argument

Non-unitary PMNS matrix

Load-bearing premise

The analysis considers only one non-unitary parameter (α_21) to be non-zero, with a fixed magnitude of 0.01 and a single associated phase. Realistic seesaw models could have multiple non-zero off-diagonal elements and additional phases, introducing degeneracies not captured by this single-parameter benchmark.

What would settle it

If future DUNE and Hyper-Kamiokande data, analyzed jointly, show that the (δ_CP, φ_21) parameter space remains degenerate at a level inconsistent with the predicted factor-of-7 to ~16 reduction, this would indicate either that the minimal non-unitarity framework is insufficient or that the complementarity between the two baselines does not constrain the degeneracy as strongly as the simulation predicts.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

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If this is right

  • Future CP violation discovery claims from DUNE or Hyper-Kamiokande alone should be interpreted with caution in energy bins around 1.5–1.6 GeV, where fake non-unitarity effects can dominate the asymmetry.
  • The combined analysis strategy provides a concrete experimental roadmap: DUNE's long-baseline matter effects constrain the non-unitary phase φ_21, while Hyper-Kamiokande's near-vacuum oscillations provide an independent cross-check on δ_CP, and the intersection of their constraints breaks the three-way degeneracy.
  • If the combined data show a discrepancy between the δ_CP values inferred from the oscillation-maximum region and the intermediate-energy windows, this could serve as a diagnostic for non-unitary mixing at a level below the current α_21 = 0.01 benchmark.
  • The ~65% degradation in Hyper-Kamiokande's standalone CP-discovery sensitivity under non-unitarity suggests that near-detector constraints on α_21 will be essential for interpreting its results independently.

Where Pith is reading between the lines

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

  • The analysis uses a single non-zero off-diagonal parameter α_21; if multiple non-unitary elements (e.g., α_31, α_32) and their phases are simultaneously non-zero, the degeneracy structure could become significantly more complex and the combined DUNE+Hyper-K constraint may weaken.
  • The energy windows where fake CP violation dominates (~1.5–1.6 GeV) suggest that a targeted spectral analysis — weighting or excluding those bins — could improve the robustness of δ_CP extraction, an optimization strategy the paper motivates but does not fully implement.
  • The structural complementarity between long and short baselines implies that a third experiment at an intermediate baseline (e.g., ~500–800 km) could provide additional leverage on the non-unitary phase, though the marginal gain may be small given the already strong DUNE+Hyper-K combination.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

1 major / 4 minor

Summary. This paper investigates the impact of non-unitary leptonic mixing on CP violation and mass ordering measurements at future long-baseline experiments (DUNE and Hyper-Kamiokande). Using a custom GLoBES probability engine, the authors evaluate the fake-to-genuine CP asymmetry ratio, CP violation discovery sensitivity, and hierarchy-CP-non-unitarity degeneracies in the (δCP, φ21) parameter space. The authors find that while fake CP violation is a minor effect near the oscillation maximum, it can dominate the genuine signal in specific intermediate energy windows. They also analyze the combined DUNE+Hyper-Kamiokande parameter space, concluding that the combination substantially suppresses degeneracies.

Significance. The paper provides a well-structured simulation study using standard GLoBES tools. The quantification of the fake-to-genuine CP asymmetry ratio across different energy windows (Table 1) is a clear and falsifiable result. The identification of specific intermediate energy regions where fake CP violation dominates is a useful phenomenological observation for experimental collaborations. The chi-square formalism and marginalization procedures are standard and correctly applied.

major comments (1)
  1. §5, discussion of panel (c) and Abstract/Conclusions: The abstract states that the combined analysis reduces the parameter space 'by a factor of 7 at 1σ and ~16 at 2σ–3σ, substantially suppressing the degeneracy that neither experiment resolves individually.' However, the body text reveals that at 1σ, the combined area (0.010π²) is 'identical to DUNE alone,' and at 3σ, the combined area (0.059π²) is actually larger than DUNE alone (0.049π²). The 'factor of 16' is the ratio of Hyper-K's allowed region to the combined region, measuring how much worse Hyper-K is than DUNE, not how much the combination improves over DUNE. Furthermore, DUNE's χ²_min = 485.853 shows it already strongly rejects the wrong ordering independently. The claim that 'neither experiment resolves individually' is incorrect for DUNE. The abstract and conclusions must be revised to accurately reflect that DUNE alone is提供s
minor comments (4)
  1. §2, Eq. (4): The text defines the non-unitary parameter as α_μe = |α_μe|e^{iφ_μe}, but the rest of the manuscript (including the abstract and §5) refers to it as α_21 and φ_21. Please unify the notation for consistency.
  2. §5, Eq. (20): The text block immediately preceding Eq. (20) is duplicated ('To map these degeneracies quantitatively, we compute...'). Please remove the repetition.
  3. §4.1: The text mentions 'NuFit 6.0 [55]' but the reference list cites 'NuFit-6.0' as JHEP 12 (2024) 216. Please verify that the citation matches the intended source.
  4. §7, Figure 5: The text refers to 'dotted curves' for the non-unitarity sensitivities in panel (a), but the caption mentions 'dashed curves.' Please ensure the description matches the figure.

Simulated Author's Rebuttal

1 responses · 0 unresolved

The referee correctly identifies that the abstract and conclusions overstate the improvement from combining DUNE and Hyper-Kamiokande. The body text shows DUNE alone already strongly rejects the wrong ordering (χ²_min = 485.853), and the combined allowed region at 1σ is identical to DUNE alone while at 3σ it is marginally larger. The 'factor of 7–16' measures improvement over Hyper-K alone, not over DUNE. We will revise the abstract and conclusions to accurately characterize DUNE's individual capability and the true nature of the combined improvement.

read point-by-point responses

  1. Referee: §5, discussion of panel (c) and Abstract/Conclusions: The abstract states that the combined analysis reduces the parameter space 'by a factor of 7 at 1σ and ~16 at 2σ–3σ, substantially suppressing the degeneracy that neither experiment resolves individually.' However, the body text reveals that at 1σ, the combined area (0.010π²) is 'identical to DUNE alone,' and at 3σ, the combined area (0.059π²) is actually larger than DUNE alone (0.049π²). The 'factor of 16' is the ratio of Hyper-K's allowed region to the combined region, measuring how much worse Hyper-K is than DUNE, not how much the combination improves over DUNE. Furthermore, DUNE's χ²_min = 485.853 shows it already strongly rejects the wrong ordering independently. The claim that 'neither experiment resolves individually' is incorrect for DUNE. The abstract and conclusions must be revised to accurately reflect that DUNE alone is [s

    Authors: The referee is entirely correct on all three points, and we will revise the manuscript accordingly. (1) The phrase 'neither experiment resolves individually' is inaccurate for DUNE. As the body text itself states, DUNE's χ²_min = 485.853 confirms strong rejection of the wrong mass ordering even after marginalization over non-unitary parameters. DUNE does substantially constrain the hierarchy–CP–non-unitarity degeneracy on its own; it does not fully resolve it (the 3σ allowed region remains non-trivial at 0.049π²), but the claim that it fails to resolve the degeneracy is overstated. (2) The 'factor of 7' and 'factor of 16' figures are computed as the ratio of Hyper-Kamiokande's allowed area to the combined area, not as the improvement over DUNE. At 1σ, the combined area (0.010π²) is identical to DUNE's, so the improvement over DUNE is a factor of 1, not 7. At 3σ, the combined area (0.059π²) is actually 1.2× larger than DUNE's alone (0.049π²), meaning the combination does not improve upon DUNE at that confidence level—it slightly worsens the area due to the addition of Hyper-K's poorly constrained φ₂₁ band overlapping DUNE's contour edge, as explained in the body text. (3) The abstract and conclusions will be revised to state that DUNE alone provides strong constraints on the degeneracy through its matter-enhanced oscillations, that the combination with Hyper-Kamiokande provides complementary constraints that are most beneficial at intermediate confidence levels (2σ), and that the factors of 7–16 quantify the improvement relative to Hyper-Kamiokande alone, not relative to DUNE. We will also add an explicit statement that the combined 3σ area is marginally larger than DUNE's alone, with the physical explanation already present in the body text. The conclusions in §6, which revision: yes

Circularity Check

0 steps flagged

No circularity found — self-contained forward-folding simulation study

full rationale

The paper is a phenomenological simulation study using GLoBES with externally provided DUNE and Hyper-Kamiokande configurations, NuFit 6.0 oscillation parameters, and a non-unitarity framework from independent groups (Antusch, Escrihuela, Miranda, Tórtola, Valle, Blennow, etc.). The derivation chain is: (1) standard non-unitarity parameterization N=(I-α)U_PMNS from the literature; (2) oscillation probabilities from standard quantum mechanical evolution in matter (Eqs. 6-12); (3) CP asymmetry decomposition into PMNS/NU/matter components (Eq. 15) — a schematic split, not a self-referential definition; (4) fake-to-genuine ratio (Table 1) computed from independently defined quantities (genuine swing = |A_CP(δ=0°) - A_CP(δ=90°)|, fake excess = |A^NU_CP(δ=0°) - A^PMNS_CP(δ=0°)|); (5) degeneracy analysis via forward-folding χ² scan over (δ_CP, φ_21) with true parameters fixed (Eq. 20) and test parameters marginalized — no fitted parameter is renamed as a prediction. The two self-citations [19, 20] by overlapping authors concern nuclear effects and energy reconstruction at DUNE, and are not load-bearing for the central non-unitarity claims. The 'factor of 16' framing concern raised by the skeptic is a legitimate exaggeration issue (the reduction is relative to HK alone, not DUNE alone, and the body text transparently reports this), but it is not circularity — the numbers are independently computed and honestly reported in Section 5. No step in the derivation chain reduces to its own inputs by construction.

Axiom & Free-Parameter Ledger

2 free parameters · 3 axioms · 0 invented entities

The paper does not invent new entities. It uses the standard non-unitary mixing framework and existing experimental configurations. The free parameters are standard in the non-unitarity literature.

free parameters (2)
  • α21 = 0.01
    Magnitude of the non-unitary off-diagonal parameter, fixed to a benchmark value based on current constraints.
  • φ21 = varied
    Phase of the non-unitary parameter, treated as a free parameter in the degeneracy analysis.
axioms (3)
  • domain assumption The effective low-energy leptonic mixing matrix is parameterized as N = (I - α) U_PMNS
    Standard parameterization of non-unitary mixing from seesaw models, invoked in Section 2.
  • ad hoc to paper Only the off-diagonal non-unitary parameter α21 is non-zero
    Simplifying assumption to focus on a single parameter, stated in Section 2.
  • domain assumption Standard three-flavor oscillation parameters from NuFit 6.0
    Global best-fit values used as true parameters in the simulation, Section 3.

pith-pipeline@v1.1.0-glm · 20768 in / 2076 out tokens · 277310 ms · 2026-07-08T16:18:10.389784+00:00 · methodology

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Cite this review

Pith. "Pith review of Non-Unitarity Effects and Fake CP Violation in Neutrino Oscillation Experiments." pith.science (2026). https://pith.science/paper/OJNCWHZR

@misc{pith2026260706108,
  author       = {Pith},
  title        = {Pith review of: Non-Unitarity Effects and Fake CP Violation in Neutrino Oscillation Experiments},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/OJNCWHZR}},
  note         = {Machine review of arXiv:2607.06108}
}
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read the original abstract

Future long-baseline neutrino oscillation experiments aim to establish leptonic CP violation and determine the neutrino mass ordering with unprecedented precision. However, these measurements can be significantly affected by possible deviations from the unitarity of the PMNS mixing matrix, which introduce additional CP-violating phases capable of generating fake CP-violating signals. We investigate the impact of non-unitary leptonic mixing on CP-violation and mass-ordering measurements at DUNE and Hyper-Kamiokande using GLoBES simulations with a custom non-unitary probability engine. We analyze the energy dependence of the neutrino--antineutrino CP asymmetry, quantify the fake-to-genuine CP asymmetry ratio, evaluate the CP violation discovery sensitivity, and study the hierarchy--CP--non-unitarity degeneracies in the $(\delta_{CP},\phi_{21})$ parameter space. We demonstrate that non-unitary mixing can generate sizeable CP asymmetries even for CP-conserving values of the standard Dirac phase, thereby mimicking genuine leptonic CP violation. While the fake contribution remains below $5\%$ of the genuine signal near each experiment's oscillation maximum, it exceeds the genuine signal in specific intermediate energy windows ($\sim130\%$ at $1.5$--$1.6$~GeV), demonstrating that fake CP violation can dominate over the genuine contribution in these regions. The combined DUNE and Hyper-Kamiokande analysis reduces the allowed $(\delta_{CP},\varphi_{21})$ parameter space by a factor of $7$ at $1\sigma$ and $\sim16$ at $2\sigma$--$3\sigma$, substantially suppressing the degeneracy that neither experiment resolves individually and providing a robust strategy for distinguishing genuine from fake CP violation while improving sensitivity to the neutrino mass ordering.

Figures

Figures reproduced from arXiv: 2607.06108 by Alina Naqvi, Jyotsna Singh, Pratima Singh, R.B.Singh, Suhani Yadav.

Figure 1
Figure 1. Figure 1: Energy dependence of the CP asymmetry ACP (E) = P(νµ → νe) − P(¯νµ → ν¯e) for DUNE and Hyper-Kamiokande, comparing the standard PMNS prediction at two representative values of δCP against the non-unitary benchmark at α21 = 0.01, φ21 = −90◦ . 4.1 Energy dependence of the CP asymmetry Figures 1a and 1b compare ACP (E) for DUNE (L = 1300 km) and Hyper-Kamiokande (L = 295 km) in the standard PMNS and non-unita… view at source ↗
Figure 2
Figure 2. Figure 2: ACP (E) at DUNE for δCP = 0◦ (blue), δCP = −90◦ (green), and δCP = +90◦ (black) PMNS, together with the non-unitary benchmark at φ21 = −90◦ (red) and φ21 = +90◦ (orange), both at δCP = 0◦ . Neither non-unitary curve is visually distinguishable from the δCP = 0◦ PMNS curve in the broad-peak region [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The joint CP asymmetry difference ∆ACP (E) = ADUNE CP (E) − AHK CP (E) for δCP = 0◦ PMNS (blue), δCP = 90◦ PMNS (green), and the non-unitary benchmark at α21 = 0.01, φ21 = −90◦ (red). The non￾unitary curve tracks the δCP = 0◦ PMNS curve closely throughout the broad-peak region, confirming that this observable does not add discriminating power against non-unitarity beyond what is available from ACP alone. E… view at source ↗
Figure 4
Figure 4. Figure 4: Allowed regions in the (δ test CP /π, φtest 21 /π) parameter space from the hierarchy–CP–non-unitarity degeneracy analysis for (a) DUNE, (b) Hyper-Kamiokande, and (c) combined DUNE + Hyper-Kamiokande. Contours show the 1σ (orange), 2σ (blue), and 3σ (black) confidence levels for two degrees of freedom (∆χ 2 = 2.30, 6.18, 11.83). The color scale shows ∆χ 2 at each grid point. The white star marks the global… view at source ↗
Figure 5
Figure 5. Figure 5: Comparison of the CP violation discovery sensitivity for DUNE, Hyper-Kamiokande, and their com [PITH_FULL_IMAGE:figures/full_fig_p012_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Comparison of the neutrino mass hierarchy discovery sensitivity for DUNE, Hyper-Kamiokande, and [PITH_FULL_IMAGE:figures/full_fig_p013_6.png] view at source ↗

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