Electron stability constrains neutrino time delays

Ardit Gkioni; Jos\'e Luis Cort\'es; Jos\'e Manuel Carmona; Mauricio Bustamante; Maykoll A. Reyes

arxiv: 2607.01339 · v1 · pith:SQJQAB6Hnew · submitted 2026-07-01 · ✦ hep-ph · astro-ph.HE· hep-ex· hep-th

Electron stability constrains neutrino time delays

Mauricio Bustamante , Jos\'e Manuel Carmona , Jos\'e Luis Cort\'es , Ardit Gkioni , Maykoll A. Reyes This is my paper

Pith reviewed 2026-07-03 19:32 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.HEhep-exhep-th

keywords Lorentz invariance violationneutrino time delayselectron stabilitycosmic neutrinosastrophysical electronsvacuum pair emission

0 comments

The pith

Observed stability of high-energy electrons rules out Lorentz-invariance violation as an explanation for time delays in high-energy cosmic neutrinos.

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

The paper establishes that the Lorentz-invariance violation proposed to cause subluminal propagation of high-energy neutrinos would enable the decay of electrons into an electron and a neutrino-antineutrino pair. This process is not allowed in standard physics and would cause high-energy electrons to lose energy rapidly. However, astrophysical observations show these electrons remain stable up to TeV and PeV energies. The resulting limits eliminate the LIV explanation for any observed time delays between neutrinos and gamma rays from cosmic sources.

Core claim

The same Lorentz-violating correction associated with subluminal neutrino propagation opens the decay channel e− → e− + ν + ν-bar, leading to electron instability. Constraints derived from recent observations of TeV--PeV astrophysical electrons rule out LIV invoked to explain delays of high-energy cosmic neutrinos. Consequently, neutrino time delays are constrained on both the superluminal and subluminal sides, requiring either purely astrophysical origins, LIV affecting all particle species equally, or physics beyond the standard effective-field-theory framework.

What carries the argument

The shared Lorentz-violating correction term that produces subluminal neutrino propagation and simultaneously enables the electron decay e− → e− + ν + ν-bar.

If this is right

Neutrino time delays cannot be explained by subluminal LIV in the standard framework.
Observable delays must have astrophysical origins.
LIV must affect all particles equally to avoid electron instability.
Physics beyond effective field theory is required for any LIV-based explanation of delays.

Where Pith is reading between the lines

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

This implies that multi-messenger astronomy must rely on astrophysical models for time delay interpretations.
Similar stability constraints could be applied to other high-energy particles to test LIV universality.
The result motivates consideration of non-EFT realizations of Lorentz violation in particle physics.

Load-bearing premise

The Lorentz-violating correction term takes the same form for electrons as it does for neutrinos.

What would settle it

An observation of time delays in high-energy cosmic neutrinos consistent with subluminal LIV, accompanied by stable high-energy electrons without the predicted decay, would falsify the constraint derived in the paper.

Figures

Figures reproduced from arXiv: 2607.01339 by Ardit Gkioni, Jos\'e Luis Cort\'es, Jos\'e Manuel Carmona, Mauricio Bustamante, Maykoll A. Reyes.

**Figure 2.** Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗

read the original abstract

Superluminal neutrino propagation, induced by Lorentz-invariance violation (LIV), is strongly constrained by vacuum pair emission, $\nu \to \nu + e^- + e^+$, a process ordinarily forbidden, which rapidly degrades the energy of high-energy neutrinos. Consequently, observable neutrino time delays are often preferentially associated with subluminal propagation, prompting LIV interpretations of claimed time delays between high-energy cosmic neutrinos and gamma rays. However, this expectation is at odds with the observed stability of high-energy electrons. The same Lorentz-violating correction associated with subluminal neutrino propagation opens the overlooked complementary decay channel $e^- \to e^- + \nu + \bar{\nu}$, leading to electron instability. We derive constraints on LIV from recent observations of TeV--PeV astrophysical electrons. These electron stability limits rule out LIV invoked to explain delays of high-energy cosmic neutrinos. Consequently, neutrino time delays are constrained on both the superluminal and subluminal sides. Therefore, observable delays require either purely astrophysical origins, a realization of LIV that affects all particle species equally, or physics beyond the standard effective-field-theory framework.

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.

Desk Editor's Note private letter to a colleague

Electron stability does not automatically rule out species-specific subluminal LIV for neutrinos.

read the letter

The key takeaway is that this paper claims electron stability rules out the subluminal LIV explanations for neutrino time delays from cosmic sources. If the argument holds, it means any observed delays can't be from that kind of new physics and must be astrophysical or something else.

It does a decent job laying out how the same kind of Lorentz-violating term that slows neutrinos would open a decay channel for electrons, e to e nu nubar, and then uses astrophysical electron data to set limits. This is new in the sense that it applies electron observations directly to neutrino LIV parameters in this context. The argument is logically connected and builds on known processes like the superluminal constraints from pair emission.

The main soft spot is whether the LIV correction really has to be the same for electrons. The stress test note is right that in standard EFT frameworks the coefficients can be independent per species, allowing neutrino LIV without electron effects. The abstract assumes the correction is shared, but if the paper doesn't justify why models can't decouple them, the exclusion doesn't fully land. The derivation of the limits would need to be checked for that, especially the explicit form of the LIV Lagrangian used.

Overall this is for researchers in astroparticle physics looking at LIV and arrival times. It raises a point worth considering, so it should go to peer review for a proper technical check on the EFT assumptions and the quantitative bounds. Even with the potential issue, the work shows clear thinking on connecting these observations.

Referee Report

1 major / 0 minor

Summary. The manuscript claims that Lorentz-invariance violation (LIV) corrections invoked to produce subluminal neutrino propagation (and thereby explain claimed time delays between high-energy cosmic neutrinos and gamma rays) necessarily induce the decay channel e⁻ → e⁻ + ν + ν-bar. Observed stability of TeV–PeV astrophysical electrons then rules out such LIV models, implying that any observable neutrino delays must arise from astrophysical effects, from LIV that affects all species equally, or from physics outside standard EFT frameworks.

Significance. If the central assumption holds, the result would tighten constraints on LIV interpretations of neutrino time delays by linking the neutrino and electron sectors through a previously overlooked decay channel, complementing existing superluminal bounds from vacuum pair emission. The approach usefully exploits existing electron stability data rather than introducing new parameters.

major comments (1)

[Abstract] Abstract (paragraph beginning 'However, this expectation is at odds...'): The derivation that the LIV correction for subluminal neutrinos opens the electron decay channel assumes the relevant operator (e.g., a term producing δv ≈ −(E/M)^n) takes identical form for electrons and neutrinos. In the SME and dimension-5/6 EFTs the coefficients (c^{μν}, d^{μν}, etc.) are independent per fermion species; models routinely set electron coefficients to zero while retaining nonzero neutrino coefficients. The manuscript provides no justification for universality or restriction to universal-LIV scenarios, rendering the exclusion of neutrino-specific LIV models unsupported.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive comment. The point raised is valid and we will revise the manuscript to clarify the scope of our assumptions regarding LIV coefficients.

read point-by-point responses

Referee: [Abstract] Abstract (paragraph beginning 'However, this expectation is at odds...'): The derivation that the LIV correction for subluminal neutrinos opens the electron decay channel assumes the relevant operator (e.g., a term producing δv ≈ −(E/M)^n) takes identical form for electrons and neutrinos. In the SME and dimension-5/6 EFTs the coefficients (c^{μν}, d^{μν}, etc.) are independent per fermion species; models routinely set electron coefficients to zero while retaining nonzero neutrino coefficients. The manuscript provides no justification for universality or restriction to universal-LIV scenarios, rendering the exclusion of neutrino-specific LIV models unsupported.

Authors: We agree that the derivation relies on the LIV correction taking the same functional form for electrons and neutrinos, as is standard in the phenomenological parametrizations (e.g., δv ≈ −(E/M)^n) commonly invoked for neutrino time-delay explanations. In the full SME or higher-dimensional EFTs the coefficients are indeed species-dependent and can be set independently. We will revise the abstract, introduction, and conclusions to explicitly restrict our claims to the case of universal LIV coefficients across species (or models in which the electron coefficient is not independently tuned to zero). This narrows the excluded class but still eliminates the specific subluminal LIV scenarios previously proposed for high-energy neutrino delays. The revision will be made in the next version. revision: yes

Circularity Check

0 steps flagged

No circularity; constraints rest on external electron stability observations

full rationale

The paper's derivation assumes a shared form of the LIV correction term between neutrinos and electrons to open the e− → e− + ν + ν-bar channel, then applies independent astrophysical observations of TeV–PeV electron stability to bound the parameters. This chain does not reduce any quantity to a fit or definition internal to the paper, invoke load-bearing self-citations, or rename known results. The central claim therefore remains self-contained against external benchmarks and receives the default non-circularity outcome.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Based solely on the abstract, the paper relies on the standard effective-field-theory framework for LIV and on the assumption that the same correction term governs both neutrinos and electrons.

axioms (1)

domain assumption The Lorentz-violating correction that produces subluminal neutrino propagation takes an analogous form for electrons, opening the decay e− → e− + ν + ν-bar.
Invoked to link neutrino time-delay explanations to electron instability.

pith-pipeline@v0.9.1-grok · 5752 in / 1204 out tokens · 29827 ms · 2026-07-03T19:32:58.170624+00:00 · methodology

discussion (0)

Reference graph

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