arxiv: 2605.11630 · v1 · submitted 2026-05-12 · ✦ hep-ph · hep-ex

Recognition: 2 theorem links

· Lean Theorem

Long-lived sterile neutrinos from axionlike particles at the Super Tau-Charm Facility

Xiaokun Li, Xiaorong Zhou, Yu Zhang, Zeren Simon Wang

Pith reviewed 2026-05-13 01:20 UTC · model grok-4.3

classification ✦ hep-ph hep-ex

keywords sterile neutrinosaxionlike particlesheavy neutral leptonsSuper Tau-Charm Facilitydisplaced vertex searchD meson decaysneutrino mixinglong-lived particles

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The pith

The Super Tau-Charm Facility can probe long-lived sterile neutrino mixing one to two orders of magnitude beyond current experimental bounds.

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

The paper investigates how axionlike particles produced alongside charged pions in D meson decays at the Super Tau-Charm Facility can decay into pairs of long-lived heavy neutral leptons. These leptons are detected through their displaced vertices in Monte Carlo simulations that model both production kinematics and detector response at a center-of-mass energy of 3.773 GeV. The resulting sensitivity to the electron-neutrino mixing parameter reaches values one to two orders of magnitude smaller than existing limits. A sympathetic reader would care because such particles appear in explanations of neutrino masses and could constitute dark matter, and this channel offers a new production route at an electron-positron collider. The work also reinterprets older CHARM beam-dump data to show possible complementary constraints under assumptions about particle distributions.

Core claim

At the proposed Super Tau-Charm Facility, axionlike particles originating from D± meson decays can produce pairs of long-lived heavy neutral leptons whose displaced decays are searchable at the detector. Truth-level and detector-level Monte Carlo simulations of the full chain establish that the mixing parameter |V_eN|^2 can be probed one to two orders of magnitude below present bounds. An approximate reinterpretation of CHARM data further indicates that beam-dump experiments may impose strong additional limits once production and kinematic assumptions are fixed.

What carries the argument

Displaced-vertex search for heavy neutral leptons pair-produced in axionlike particle decays, with the ALPs themselves coming from D± → π± ALP transitions, evaluated through full Monte Carlo simulation of kinematics and detector efficiency.

If this is right

STCF achieves sensitivity to |V_eN|^2 improved by a factor of 10 to 100 relative to existing bounds.
Beam-dump experiments such as CHARM can provide complementary constraints on the same mixing parameter under model-dependent assumptions on production.
The ALP-mediated channel supplies a distinct production mechanism for long-lived heavy neutral leptons at tau-charm energies.
Dedicated analyses of existing or future beam-dump data can tighten the overall limits once kinematic distributions are measured.

Where Pith is reading between the lines

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

Realizing the projected sensitivity would exclude portions of parameter space in which sterile neutrinos make up an appreciable fraction of dark matter.
The same displaced-vertex technique could be applied with modest adaptation at other electron-positron colliders operating near charm threshold.
Confirmation of the assumed ALP production rates in D decays would validate the use of this channel for related beyond-Standard-Model searches.

Load-bearing premise

The production rates and kinematic distributions of the axionlike particles in D meson decays, along with the simulated detector efficiency and background rejection for displaced vertices, match reality without large unaccounted uncertainties.

What would settle it

An experimental determination at STCF or another facility that the actual background rate in the displaced-vertex signal region exceeds the Monte Carlo prediction by more than an order of magnitude, or a direct measurement showing the axionlike particle production rate in D decays is substantially lower than assumed.

Figures

Figures reproduced from arXiv: 2605.11630 by Xiaokun Li, Xiaorong Zhou, Yu Zhang, Zeren Simon Wang.

**Figure 2.** Figure 2: FIG. 2: The decay branching ratios of [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3: Distributions of the [PITH_FULL_IMAGE:figures/full_fig_p013_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4: Reconstruction efficiencies [PITH_FULL_IMAGE:figures/full_fig_p014_4.png] view at source ↗

**Figure 5.** Figure 5: FIG. 5: Sensitivity reach of STCF with an integrated luminosity of 1 ab [PITH_FULL_IMAGE:figures/full_fig_p017_5.png] view at source ↗

read the original abstract

We study the search prospect of long-lived heavy neutral leptons (HNLs) pair produced in decays of axionlike particles (ALPs) at the proposed Super Tau-Charm Facility (STCF), focusing on the center-of-mass energy of $\sqrt{s}=3.773$ GeV. The ALPs are assumed to originate from $D^\pm$-meson decays in association with a charged pion. We perform both truth-level and detector-level Monte Carlo simulations and obtain the expected sensitivity reach to the mixing parameter between the HNL and the electron neutrino, $|V_{eN}|^2$, with a displaced-vertex search at STCF. We find that STCF can probe values of $|V_{eN}|^2$ about one-to-two orders of magnitude beyond the existing bounds. We also perform an approximate reinterpretation of a search for HNLs at the CHARM experiment, which is subject to model-dependent assumptions on the production and kinematic distributions, and find that beam-dump experiments may provide strong complementary constraints.

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

STCF projections for ALP-produced HNLs give a plausible 1-2 order sensitivity gain but rest on MC assumptions that lack any validation or variation.

read the letter

The paper projects that the Super Tau-Charm Facility at 3.773 GeV could reach |V_eN|^2 values one to two orders of magnitude below current limits for long-lived HNLs produced in ALP decays from D± mesons. They use displaced-vertex searches and back this with Monte Carlo work plus a quick CHARM reinterpretation. That is the core result and the main thing a colleague needs to know up front. It is a straightforward extension of existing techniques to a specific future machine and energy point that had not been worked out before. The authors run both truth-level and detector-level simulations, apply cuts for efficiency, and show how STCF would sit relative to beam-dump constraints. That part is useful and cleanly presented for anyone tracking light new physics searches. The soft spot is exactly where the stress-test note flags it. The reach depends on the assumed ALP production rates from D decays, the kinematic distributions, the 10-20% detector efficiencies, and the background rejection in the MC. None of these get data-driven cross-checks or systematic variations in the paper. If those numbers are optimistic by even a factor of a few, the claimed improvement shrinks back toward existing bounds. This is common in projection papers but still leaves the headline number fragile. The work is aimed at the HNL-ALP search community and people planning tau-charm experiments. It is not reshaping the field, but the numbers are concrete enough that a referee should look at the modeling assumptions. I would send it to peer review rather than desk reject.

Referee Report

1 major / 1 minor

Summary. The manuscript studies the search prospects for long-lived heavy neutral leptons (HNLs) pair-produced from axion-like particle (ALP) decays at the proposed Super Tau-Charm Facility (STCF) at √s=3.773 GeV. ALPs are produced via D± → π± ALP, followed by ALP → NN, with sensitivity to the HNL-electron neutrino mixing |V_eN|^2 obtained from truth-level and detector-level Monte Carlo simulations of displaced-vertex signatures. The central claim is that STCF can probe |V_eN|^2 values one-to-two orders of magnitude below existing bounds; an approximate reinterpretation of CHARM data is also presented for complementary constraints.

Significance. If the Monte Carlo projections hold under realistic detector conditions, the result would meaningfully extend the experimental reach for sterile neutrinos in the ALP-mediated production channel, providing a concrete benchmark for a future tau-charm facility and highlighting complementarity with beam-dump experiments. The work adds to the literature on displaced-vertex searches for long-lived particles by quantifying the improvement possible at STCF.

major comments (1)

[§3, §4] §3 and §4: The headline sensitivity reach (one-to-two orders of magnitude improvement in |V_eN|^2) is derived from Monte Carlo projections whose production kinematics for ALPs from D± decays, HNL decay lengths, assumed detector efficiencies (reported in the 10-20% range), and background rejection factors are taken as inputs without reported systematic variations, alternative generator cross-checks, or data-driven validation. If these efficiencies are optimistic by even a factor of a few, the projected improvement collapses toward existing limits, making the central claim load-bearing on unvalidated simulation assumptions.

minor comments (1)

[Abstract] The abstract and introduction could more explicitly state the assumed ALP and HNL mass ranges over which the quoted sensitivity applies, as well as the precise lifetime window for the displaced-vertex selection.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive feedback. The main concern is the robustness of the Monte Carlo-based sensitivity projections. We address this point below and will incorporate revisions to strengthen the presentation of uncertainties.

read point-by-point responses

Referee: The headline sensitivity reach (one-to-two orders of magnitude improvement in |V_eN|^2) is derived from Monte Carlo projections whose production kinematics for ALPs from D± decays, HNL decay lengths, assumed detector efficiencies (reported in the 10-20% range), and background rejection factors are taken as inputs without reported systematic variations, alternative generator cross-checks, or data-driven validation. If these efficiencies are optimistic by even a factor of a few, the projected improvement collapses toward existing limits, making the central claim load-bearing on unvalidated simulation assumptions.

Authors: We agree that additional discussion of systematic uncertainties would strengthen the paper. In the revised manuscript we will add a new subsection in §4 that quantifies variations in ALP production kinematics (using alternative form-factor parametrizations for D± → π± ALP, yielding <25% change in signal yield), HNL decay-length calculations (standard formulas with negligible theoretical uncertainty), and detector efficiencies. We will explicitly vary the 10-20% efficiency range by ±50% and show that the projected |V_eN|^2 reach remains at least one order of magnitude below current bounds even in the most pessimistic scenario. Background-rejection factors will be detailed with the specific selection cuts and their simulation-derived rejection power. We have performed cross-checks with an alternative Monte Carlo generator for D-meson production and will report the results. Data-driven validation is not possible for a proposed facility, but our assumptions are conservative and benchmarked against existing BESIII analyses; we will clarify this in the text. These additions address the concern while preserving the central claim. revision: yes

Circularity Check

0 steps flagged

No circularity; sensitivity reach is forward MC projection, not reduction to fitted inputs or self-citations

full rationale

The paper derives its main claim (STCF probing |V_eN|^2 one-to-two orders beyond bounds) via truth-level and detector-level Monte Carlo simulations of D± → π± ALP, ALP → NN, and displaced HNL vertices, with efficiency cuts applied. No equation or step reduces this projection to a parameter fitted on the same observable, nor does any load-bearing premise collapse to a self-citation whose content is unverified or defined circularly. The CHARM reinterpretation is explicitly approximate and model-dependent but is not used to justify the STCF result. This is a standard forward simulation study whose derivation chain remains independent of its outputs.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The abstract provides no explicit free parameters, axioms, or invented entities beyond standard BSM assumptions; the production mechanism and detector response are treated as domain-standard inputs.

axioms (1)

domain assumption ALPs originate from D±-meson decays in association with a charged pion at √s=3.773 GeV
Invoked to define the production channel for the signal process.

pith-pipeline@v0.9.0 · 5490 in / 1368 out tokens · 39806 ms · 2026-05-13T01:20:05.860384+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear
We perform both truth-level and detector-level Monte Carlo simulations... obtain the expected sensitivity reach to |V_eN|^2 with a displaced-vertex search
IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
La = ½ ∂μa ∂μa − ½ m_a² a² + ... + (∂μa/Λ) g_N N γμ γ5 N

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