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arxiv: 2606.22898 · v1 · pith:3OU2XMZTnew · submitted 2026-06-22 · ✦ hep-ph · astro-ph.HE

Diffuse Supernova Neutrinos with Secret Neutrino Interactions

Praveen Bharadwaj , Utpal Chattopadhyay , Dilip Kumar Ghosh , Arnab Sarker This is my paper

Pith reviewed 2026-06-26 08:27 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.HE
keywords diffuse supernova neutrino backgroundsecret neutrino interactionscosmic neutrino backgroundscalar mediatorflavor structureJUNOHyper-KamiokandeDUNE
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The pith

The diffuse supernova neutrino background can reveal secret neutrino self-interactions down to couplings of 10^{-8} at mediator masses of 100-300 eV.

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

Neutrinos from all past core-collapse supernovae form the DSNB, which travels across the universe through the cosmic neutrino background. If neutrinos have secret self-interactions mediated by a light scalar, resonant scattering on the lightest CνB state creates a broad depletion in the DSNB energy spectrum whose shape depends on which neutrino flavors couple and on the mass ordering. Calculations in a full three-flavor framework show that JUNO, Hyper-Kamiokande with gadolinium, and DUNE can detect this depletion and set limits on the coupling g that improve on existing bounds by orders of magnitude below 100 eV. Because the depletion pattern differs for universal, electron-only, muon-only, and tau-only couplings, a positive signal would also identify the flavor structure of the interaction. This approach is flavor-discriminating in a way that cosmological and supernova bounds are not.

Core claim

In a complete three-flavor treatment that keeps the full PMNS matrix, resonant scattering ν_i ν_k → ϕ → ν_j ν_l of DSNB neutrinos on the lightest relativistic CνB state produces a broad spectral depletion whose position and depth vary with the chosen flavor-diagonal coupling structure and with the neutrino mass ordering, leading to distinctive distortions in the six flavor fluxes that translate into 3σ sensitivities reaching g ∼ 10^{-8} for m_ϕ ∼ 100–300 eV at JUNO, Hyper-K-Gd, and DUNE.

What carries the argument

Resonant scalar-mediated scattering of DSNB neutrinos off the lightest CνB state, which imprints flavor-dependent spectral depletions on the propagating flux.

If this is right

  • Projected sensitivities reach couplings a few orders of magnitude below current limits in the sub-100 eV mass range.
  • The DSNB signal distinguishes among universal, e-only, μ-only, and τ-only coupling structures through different patterns across the six flavor fluxes.
  • A detection would identify the flavor structure of νSI, information not available from flavor-blind cosmological bounds.
  • The effect depends on the neutrino mass ordering, so the same data could help constrain the hierarchy if νSI are present.

Where Pith is reading between the lines

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

  • If the mass ordering is inverted, the energy location of the depletion shifts, offering a possible cross-check on hierarchy measurements.
  • The same resonant mechanism could affect other high-energy neutrino fluxes, such as those from active galactic nuclei, providing an independent test.
  • Uncertainties in the assumed supernova neutrino emission spectra could partially mimic or mask the depletion, so joint analyses with other observables would strengthen the probe.

Load-bearing premise

The resonant scattering off the lightest relativistic CνB neutrino produces a broad spectral depletion that survives propagation and can be distinguished from uncertainties in the DSNB source spectrum.

What would settle it

A high-statistics measurement of the DSNB spectrum at JUNO, Hyper-K, or DUNE showing no depletion feature in the energy window expected for m_ϕ between 100 and 300 eV would rule out the claimed sensitivity to g ∼ 10^{-8}.

read the original abstract

The Diffuse Supernova Neutrino Background (DSNB), an isotropic flux arising from the cumulative neutrino emission of all stellar core-collapse events throughout cosmic history, is expected to be detected by next-generation neutrino observatories. As DSNB neutrinos propagate over cosmological distances through the cosmic neutrino background (C$\nu$B), they may undergo non-standard neutrino self-interactions ($\nu$SI), leaving distinct spectral imprints on the observed flux. In this work, we investigate the impact of scalar ($\phi$)-mediated $\nu$SI on the DSNB within a full three-flavor framework that retains the complete PMNS structure. We consider four representative flavor-diagonal coupling structures--universal, $e$-, $\mu$-, and $\tau$-specific. The resonant scattering $\nu_i\nu_k\to\phi\to\nu_j\nu_l$ off the lightest, relativistic C$\nu$B state produces broad spectral depletion whose pattern depends on the coupling structure and the neutrino mass ordering, generating distinctive signatures across the six flavor fluxes. We compute the resulting event spectra at JUNO, Hyper-Kamiokande with gadolinium loading, and DUNE, and derive projected $3\sigma$ sensitivities in the $(m_{\phi},~g)$ parameter plane. We find that these experiments can probe couplings as low as $g\sim10^{-8}$ for $m_\phi\sim100$--$300$ eV, surpassing existing bounds by up to a few orders of magnitude in the sub-100 eV mass range. Moreover, unlike the flavor-blind cosmological and supernova bounds, the DSNB sensitivity is flavor-discriminating, offering a unique opportunity to identify the underlying flavor structure of $\nu$SI in the event of a detection.

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

2 major / 2 minor

Summary. The manuscript investigates scalar-mediated secret neutrino self-interactions (νSI) on the diffuse supernova neutrino background (DSNB) in a full three-flavor framework retaining the complete PMNS matrix. It considers four flavor-diagonal coupling structures (universal, e-, μ-, τ-specific) and shows that resonant scattering ν_i ν_k → ϕ → ν_j ν_l off the lightest relativistic CνB state produces broad, flavor-dependent spectral depletions whose pattern depends on the coupling and neutrino mass ordering. Event spectra are computed for JUNO, gadolinium-loaded Hyper-Kamiokande, and DUNE; projected 3σ sensitivities reach g ∼ 10^{-8} for m_ϕ ∼ 100–300 eV, surpassing existing bounds in the sub-100 eV range while offering flavor discrimination unlike cosmological or supernova bounds.

Significance. If the numerical propagation and detector-response results hold, the work provides a new flavor-sensitive probe of νSI that complements flavor-blind cosmological bounds and could identify the underlying coupling structure upon detection. The approach uses standard external inputs for PMNS parameters and CνB density without introducing ad-hoc free parameters, and the explicit three-flavor treatment with distinct coupling structures is a clear strength for falsifiability.

major comments (2)
  1. [propagation through CνB] Propagation and resonance section: the central sensitivity claims rest on the resonant scattering off the lightest CνB state producing the quoted broad depletion; the manuscript must specify whether non-resonant contributions from heavier CνB states or interference terms are included, as their omission would directly affect the depletion pattern and thus the derived 3σ reach for the four coupling structures.
  2. [event spectra at JUNO, Hyper-K, DUNE] Detector event spectra and sensitivity section: the 3σ contours in the (m_ϕ, g) plane are obtained from numerical event rates; the treatment of DSNB flux normalization uncertainties, energy resolution, and background rejection efficiencies must be detailed with explicit error propagation, because these inputs are load-bearing for the claimed improvement over existing bounds by up to a few orders of magnitude.
minor comments (2)
  1. [introduction] The abstract and introduction should cite the specific supernova emission models (e.g., which luminosity functions or average spectra) adopted as input, to clarify the baseline against which the νSI depletion is compared.
  2. [coupling structures] Notation for the four coupling structures (universal, e-, μ-, τ-specific) should be defined with explicit matrix forms in the flavor basis early in the text for reproducibility.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment and the recommendation for minor revision. We address each major comment below, providing clarifications and committing to revisions where appropriate.

read point-by-point responses

  1. Referee: Propagation and resonance section: the central sensitivity claims rest on the resonant scattering off the lightest CνB state producing the quoted broad depletion; the manuscript must specify whether non-resonant contributions from heavier CνB states or interference terms are included, as their omission would directly affect the depletion pattern and thus the derived 3σ reach for the four coupling structures.

    Authors: Our calculation is restricted to resonant scattering off the lightest relativistic CνB state, as stated in the abstract and propagation section; heavier CνB states are non-relativistic and their resonant contributions are kinematically suppressed for the m_ϕ range of interest. Non-resonant scattering and interference terms between channels are sub-dominant and do not alter the broad depletion features that drive the sensitivity. We will add an explicit statement and brief justification in the revised propagation section to address this point directly. revision: yes

  2. Referee: Detector event spectra and sensitivity section: the 3σ contours in the (m_ϕ, g) plane are obtained from numerical event rates; the treatment of DSNB flux normalization uncertainties, energy resolution, and background rejection efficiencies must be detailed with explicit error propagation, because these inputs are load-bearing for the claimed improvement over existing bounds by up to a few orders of magnitude.

    Authors: We agree that additional detail is warranted. The current manuscript uses standard literature values for DSNB normalization, detector resolutions, and efficiencies, but does not provide a full error-propagation breakdown. In the revision we will expand the detector-response section with explicit descriptions of these inputs, their adopted uncertainties, and the numerical procedure used to propagate them into the 3σ contours for each experiment and coupling structure. revision: yes

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The paper performs a three-flavor propagation calculation of resonant νSI scattering off the CνB using the standard PMNS matrix and external CνB density as inputs. No equations reduce the projected sensitivities (g∼10^{-8} at m_ϕ∼100-300 eV) to fitted parameters or self-defined quantities by construction. The flavor-dependent depletion patterns are computed from the interaction Lagrangian and resonance condition without renaming known results or importing uniqueness via self-citation. The derivation chain is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

The central claim rests on standard neutrino oscillation parameters, the existence of a relativistic cosmic neutrino background, and the assumption that only the lightest state participates in the resonance; the scalar mediator is introduced without independent evidence.

axioms (2)
  • domain assumption Neutrino mixing is described by the complete three-flavor PMNS matrix with standard mass ordering (normal or inverted).
    Invoked in the full three-flavor framework section of the abstract.
  • domain assumption The cosmic neutrino background consists of the lightest, relativistic neutrino states available for resonant scattering.
    Stated in the propagation paragraph of the abstract.
invented entities (1)
  • scalar mediator ϕ no independent evidence
    purpose: Mediates flavor-dependent secret neutrino self-interactions
    Postulated new particle whose couplings are varied across four structures; no independent evidence supplied.

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Reference graph

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