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arxiv: 2604.19122 · v1 · submitted 2026-04-21 · ✦ hep-ph · hep-th

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Implications of the First JUNO Results for Dirac Neutrino Texture Zeros

Priya , Ranjeet Kumar , Labh Singh , Surender Verma
Authors on Pith no claims yet

Pith reviewed 2026-05-10 02:48 UTC · model grok-4.3

classification ✦ hep-ph hep-th
keywords Dirac neutrino mass matrixtexture zerosJUNO experimentneutrino oscillationssolar mixing angleflavor modelsoscillation parameters
0
0 comments X

The pith

JUNO data disfavors texture C for two-zero Dirac neutrino mass matrices, leaving A1 and A2 viable.

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

The paper examines how the first JUNO oscillation results constrain two-zero texture patterns in the Dirac neutrino mass matrix. These patterns reduce free parameters and create specific predictions for mixing angles and mass differences. A systematic scan shows that the improved precision on the solar mixing angle and solar mass splitting rules out texture C while A2 and A1 remain consistent with all data. This illustrates how solar neutrino measurements can test and eliminate classes of flavor models. Readers would note that the reduced parameter space produces testable correlations now probed by experiment.

Core claim

Motivated by the first JUNO results, the analysis performs a scan over the allowed parameter space for two-zero Dirac neutrino textures and finds that current measurements impose stringent constraints. Although textures C, A2, and A1 were previously viable, the data strongly disfavor C, leaving only A2 and A1 compatible with observations. The reduced parameter space generates sharp correlations among oscillation observables that are now tested by the solar sector precision.

What carries the argument

Two-zero texture structures labeled A1, A2, and C in the Dirac neutrino mass matrix, which enforce relations among the neutrino mixing angles and mass-squared differences.

Load-bearing premise

The analysis assumes the standard three-neutrino oscillation framework holds and that a systematic scan of the reduced parameter space for each texture fully determines phenomenological viability without extra theoretical constraints.

What would settle it

An independent high-precision measurement of sin²θ12 or Δm21² lying outside the allowed ranges for A1 and A2 but inside the range for C would show that current JUNO data do not disfavor texture C.

Figures

Figures reproduced from arXiv: 2604.19122 by Labh Singh, Priya, Ranjeet Kumar, Surender Verma.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: The correlation plots for texture [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Correlation plots for the texture [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Correlation plots of solar parameters, ∆ [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Correlation plots of solar parameters, ∆ [PITH_FULL_IMAGE:figures/full_fig_p012_5.png] view at source ↗
read the original abstract

Motivated by the first oscillation results from JUNO, we study the phenomenological viability of texture zeros in the Dirac neutrino mass matrix. The improved precision on the solar mixing angle $\sin^2{\theta_{12}}$ and the solar mass-squared difference $\Delta m_{21}^2$ provide a stringent probe for scrutinizing predictive texture zero frameworks. We perform a systematic scan of the allowed parameter space for two-zero textures, identifying sharp correlations among oscillation observables arising from the reduced parameter space. Our analysis reveals that current JUNO measurements impose stringent constraints on the viable texture structures. In particular, although textures $C$, $A_2$, and $A_1$ were previously viable, current JUNO data strongly disfavor $C$, leaving only textures $A_2$ and $A_1$ compatible with the data. These findings underscore the remarkable sensitivity of Dirac texture zero scenarios to the solar sector.

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

1 major / 1 minor

Summary. The paper studies the phenomenological viability of two-zero texture patterns in the Dirac neutrino mass matrix in light of the first JUNO oscillation results. A systematic scan of the reduced parameter space is performed, revealing correlations among observables; the analysis concludes that current JUNO measurements on sin²θ₁₂ and Δm²₂₁ strongly disfavor texture C while leaving textures A1 and A2 compatible with the data.

Significance. If the numerical scan is robust and exhaustive, the result provides a concrete phenomenological constraint on predictive Dirac neutrino mass models, demonstrating the sensitivity of texture-zero scenarios to solar-sector parameters. The identification of sharp correlations between observables is a positive feature that could aid future model-building and experimental tests.

major comments (1)
  1. [Section describing the parameter scan and results for textures A1, A2, and C] The central claim that JUNO data strongly disfavors texture C (while A1 and A2 remain viable) rests on the results of the systematic parameter scan over the two mass ratios and three phases. However, the manuscript provides no details on the scan methodology, including the sampling technique (e.g., Monte Carlo or grid), the exact ranges and priors for the free parameters, the treatment of normal versus inverted hierarchy, the diagonalization procedure for extracting PMNS elements, or the precise statistical criterion (e.g., χ² threshold or direct 3σ comparison) used to determine compatibility with JUNO data. This absence makes it impossible to verify whether all viable configurations for texture C were sampled or whether points inside the JUNO 3σ ellipse were missed.
minor comments (1)
  1. [Abstract] The abstract states that 'sharp correlations among oscillation observables' arise from the reduced parameter space but does not identify them explicitly or reference the relevant figure or table; adding a brief description or citation would improve clarity for readers.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments on the parameter scan methodology. We agree that additional details are necessary to allow full verification of the results and will incorporate them in the revised version.

read point-by-point responses

  1. Referee: The central claim that JUNO data strongly disfavors texture C (while A1 and A2 remain viable) rests on the results of the systematic parameter scan over the two mass ratios and three phases. However, the manuscript provides no details on the scan methodology, including the sampling technique (e.g., Monte Carlo or grid), the exact ranges and priors for the free parameters, the treatment of normal versus inverted hierarchy, the diagonalization procedure for extracting PMNS elements, or the precise statistical criterion (e.g., χ² threshold or direct 3σ comparison) used to determine compatibility with JUNO data. This absence makes it impossible to verify whether all viable configurations for texture C were sampled or whether points inside the JUNO 3σ ellipse were missed.

    Authors: We acknowledge that the current manuscript does not provide sufficient technical details on the numerical scan. In the revised version we will add a new subsection (Section 3.2) that fully specifies the methodology: a Monte Carlo sampling with 10^6 points per texture using uniform priors on the two mass ratios (0 to 1) and three phases (0 to 2π); separate scans for normal and inverted hierarchies; numerical diagonalization of the Dirac mass matrix via standard eigenvalue routines to extract the PMNS parameters; and compatibility defined by requiring the predicted sin²θ₁₂ and Δm²₂₁ to lie inside the 3σ JUNO contours (using the published central values and covariance). We will also include a brief pseudocode outline and confirm that the sampling density is sufficient to populate the full allowed region for textures A1 and A2 while showing no surviving points for texture C. These additions will enable independent verification. revision: yes

Circularity Check

0 steps flagged

JUNO external data constrains two-zero textures via numerical scan with no self-referential reduction

full rationale

The paper's central result follows from imposing two-zero conditions on the Dirac neutrino mass matrix in the charged-lepton diagonal basis, then numerically scanning the reduced parameter space (mass ratios and phases) to extract PMNS mixing angles and mass-squared differences, and finally comparing those predictions against the independent JUNO measurements of sin²θ₁₂ and Δm²₂₁. No equation or step equates an output observable to a fitted input by construction, and the viability statements for textures A1, A2, and C rest on external data rather than internal redefinition or self-citation chains. The derivation remains self-contained against the external benchmark.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The paper rests on the standard three-neutrino mixing paradigm and the assumption that texture-zero patterns are a useful phenomenological tool. No new particles or forces are introduced. Multiple free parameters remain in the mass matrices after imposing two zeros and must be fitted to data.

free parameters (1)
  • remaining mass matrix entries after texture zeros
    Each two-zero texture leaves several complex parameters that are varied in the scan to match oscillation data.
axioms (1)
  • domain assumption Standard three active neutrino oscillation framework with Dirac neutrinos
    Invoked throughout to relate mass matrix textures to measured mixing angles and mass-squared differences.

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Reference graph

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