Searching for long-lived particles from stopped pions and muons at the CiADS-BDE

Liangwen Chen; Yu Zhang; Zeren Simon Wang

REVIEW 3 major objections 6 minor 1 cited by

Searching for long-lived particles from stopped pions and muons at the CiADS-BDE

T0 review · 3 major / 6 minor · reviewed 2026-08-10 · deepseek-v4-flash

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Pith's one-line read A compact beam-dump detector behind the CiADS proton beam could, in five years, push heavy neutral lepton, axionlike-particle, and R-parity-violating bino searches beyond all current bounds.

desk verdict Useful, transparent sensitivity projections for four BSM models at a proposed beam dump; the load-bearing background estimate needs validation, but the paper deserves peer review. read the letter →

arxiv 2501.15460 v1 pith:TTLVCOSJ submitted 2025-01-26 hep-ph hep-ex

Zeren Simon Wang , Yu Zhang , Liangwen Chen This is my paper · ORCID

classification hep-phhep-ex

keywords long-livedparticlesbeamdumpexperimentheavyneutralleptonsaxionlikeR-parityviolationlightbinodecayatrestelectron-positronfinalstate

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper makes the case that a proposed 1 m long beam-dump detector at a megawatt-class proton accelerator, operating for five years with roughly $6.6\times 10^{23}$ protons per year, would find or exclude several classes of long-lived particles produced when charged pions and muons stop inside the dump. The benchmark models are heavy neutral leptons mixed with electron or muon neutrinos, axionlike particles with electron-only or lepton-flavor-violating couplings, and light binos in R-parity-violating supersymmetry. For the larger detector radius, the paper finds sensitivity beyond current bounds in every model, in some cases by one to two orders of magnitude in the relevant couplings. The common thread is that the very high proton rate overcomes the small detector volume, so a compact experiment can reach unexplored parameter space. The central claim is that a small, already-planned detector could act as a wide-net search for several dark-sector candidates at once.

What carries the argument

The production chain is the key: the dense beam dump stops the high-intensity $\pi^+$ and $\mu^+$ beams, and their decays at rest provide a clean, isotropic source of the long-lived particles, while the detector sits 10 m downstream and looks for displaced $e^-e^+$ pairs. The acceptance calculation combines three elements: the pion decay-at-rest rate per proton (2.4% at 600 MeV and 17.2% at 2 GeV), a Monte Carlo simulation of the mother decay and of the LLP decay into an electron-positron pair, and an exponential-decay weight for the LLP to decay inside the 1 m long fiducial cylinder. The signal definition enforces the kinematic cuts $E_{e^\pm} > 17$ MeV and opening angle $> 15^\circ$, and the number of signal events is the product of mother-particle yield, production branching ratio, acceptance, and the LLP decay branching ratio.

What would settle it

Run a one-year background measurement with the proposed 1 m detector, shielded and placed 10 m downstream of the beam dump, and count events that pass the $>17$ MeV and $>15^\circ$ opening-angle cuts; if the annual rate exceeds roughly 150 events, the 184-event 90% C.L. threshold is not met and the projected exclusion reach does not hold.

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Extended reading notes

Core claim

With five years of operation and a detector radius of 1.0 m, the paper argues that the experiment can set 90% C.L. exclusion limits that go beyond existing laboratory and astrophysical constraints. For heavy neutral leptons produced in pion decays at rest, the sensitivity reaches $|V_{eN}|^2 \sim 10^{-9}$ just below the pion threshold, about two orders of magnitude below current limits, and $|V_{\mu N}|^2$ down to about $10^{-7}$ for masses between roughly 40 and 100 MeV. For electrophilic axionlike particles, it would probe couplings $c_{ee}/\Lambda$ down to about $10^{-5}$ GeV$^{-1}$ for masses between about 12 and 130 MeV, filling a region not covered by existing experiments or projected future searches. For lepton-flavor-violating axionlike particles produced in stopped muon decays, it would cover the region between supernova-cooling and supernova-decay bounds and could reach $g_{\mu e}$ values as low as about $10^{-15}$ for $g_{ee}$ near $10^{-11}$ to $10^{-9}$. For the light-bino benchmarks, the projected exclusions reach one to two orders of magnitude beyond current RPV-coupling bounds, for example down to about $2\times 10^{-8}$ GeV$^{-2}$ in $\lambda_{121}/m_{\tilde{f}}^2$ in the single-coupling benchmark.

Load-bearing premise

The projections assume that after the electron-positron cuts the detector records only about $100\pm50$ background events per year, so if cosmic-ray or neutrino backgrounds at the actual site are larger, the required signal threshold rises and the claimed exclusions shrink.

Editorial extensions

If this is right

A five-year run with the 1.0 m radius configuration would extend current limits on electron-mixed and muon-mixed heavy neutral leptons by up to two and one orders of magnitude, respectively.
The same run would open a new window on electrophilic axionlike particles with masses between 12 and 130 MeV and couplings around $10^{-5}$ GeV$^{-1}$, a region the paper says is not covered by existing or planned searches.
For lepton-flavor-violating axionlike particles, the experiment would probe the gap between supernova-cooling and supernova-decay bounds, improving on the projected reach of a dedicated muon facility.
For R-parity-violating supersymmetry, all three benchmark light-bino scenarios would see new exclusion power, with the strongest gains in the two-coupling benchmarks.
The 2 GeV beam energy consistently outperforms 600 MeV, so the sensitivity improves as the accelerator's energy is upgraded.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

The paper adopts a single background rate rather than a dedicated simulation; a detailed simulation of cosmic-ray and neutrino backgrounds in the actual experimental hall would be the natural next test and could shift the contours significantly.
Because the production yield scales with the number of stopped pions, a future higher-current or higher-energy running mode would push the same search toward heavier long-lived particles; the paper quantifies this only through the two beam energies.
The detector's planned tracking and particle-identification capabilities mean the same electron-positron signature could serve multiple dark-sector searches, including dark photons and any other light state that decays leptonically; this multi-purpose use is not the focus of the paper.
The projected exclusions are close to those of a similar proposed spallation-source experiment, which suggests the two detectors would act as complementary checks of the same models rather than competitors.

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Editorial analysis

A structured set of objections, weighed in public.

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

Desk Editor's Note

read the letter

First: the paper does what it says. It takes the established beam-dump simulation framework from the authors' earlier dark-photon study and applies it to HNLs, electrophilic ALPs, LFV ALPs, and RPV light binos at the same CiADS-BDE detector. The specific sensitivity contours are new and the comparison with existing bounds is careful. The rate formula is simple and the decay widths come from solid references. The authors are transparent about what is assumed.

What is actually new: for each of the four models, they show that a 1 m radius detector placed 10 m downstream can exclude parameter space beyond current limits, in some cases by 1–2 orders of magnitude. That is a concrete, useful target list for a facility under construction. The method is not novel — it is a routine extension of Ref. [21] — but the projections are specific and not in the prior literature.

The soft spot is the one the reader flagged. The entire exclusion threshold rests on an assumed background of 100 ± 50 events/year, borrowed as an order-of-magnitude estimate from the earlier proposal. There is no dedicated simulation for this detector at CiADS. The paper says this clearly, but that does not make the number less load-bearing. If the real background is a factor of 2–5 higher, the contours shift up substantially and the claimed "up to two orders of magnitude beyond current bounds" would not hold. That said, the concern is not fatal to the paper's core value: the projections are still a useful first estimate, and the authors explicitly flag the limitation. A dedicated Geant4 background study, plus public simulation scripts, would turn this from a conditional phenomenological study into a solid experimental proposal.

Minor point: the paper leans on self-citations (Ref. [21] for the setup, Ref. [80] for SHiNESS comparison). That is fine because those are the baseline references, but the background estimate should have been cross-checked against an independent source or at least scanned over.

Who is this for: anyone working on beam-dump experiments, long-lived particles, or the physics case for CiADS. It is a well-executed sensitivity study that makes a clear, testable claim. I would send it to peer review. The referee should push for a background simulation or a sensitivity scan, but the paper is worth the referees' time.

Referee Report

3 major / 6 minor

Summary. The paper studies the sensitivity of the proposed CiADS-BDE beam-dump experiment to long-lived particles produced in decays at rest of charged pions and muons. It considers four benchmark scenarios: heavy neutral leptons mixing with electron or muon neutrinos, electrophilic axion-like particles, lepton-flavor-violating axion-like particles, and light binos in R-parity-violating supersymmetry. For each model, the authors compute the expected signal-event rate from the number of pions/muons decaying at rest, the production branching ratio, a Monte Carlo acceptance including a displaced e+e− vertex with energy and opening-angle cuts, and the LLP decay branching ratio to e+e−. Sensitivity contours are drawn for 184.1 signal events, corresponding to a 90% C.L. exclusion with a background estimate of 100 ± 50 events per year. The central finding is that with five years of operation the r = 1.0 m detector configuration can probe new parameter space beyond existing bounds in all four models, in some cases by up to two orders of magnitude.

Significance. If the projected sensitivities hold, this is a useful addition to the growing literature on small, high-intensity beam-dump experiments. The paper covers several motivated BSM scenarios with a common displaced e+e− signature, includes comparisons to SHiNESS and other proposed or running experiments, and identifies parameter regions that are difficult to reach elsewhere. The rate estimate is straightforward and the decay-width inputs are taken from established references. However, the projections are explicitly conditional on an order-of-magnitude background estimate that is not validated for the specific CiADS-BDE geometry; the headline exclusion reach is therefore a projected sensitivity rather than a demonstrated background-limited search. The paper is transparent about this assumption, but the load-bearing status of the background number is not reflected in the strength of the conclusions.

major comments (3)

[Sec. 2] The central sensitivity projections rest on the assumption of 100 ± 50 background events per year after requiring E_e± > 17 MeV and opening angle > 15°. This number is taken as an order-of-magnitude estimate from Ref. [21] and is not simulated for the CiADS-BDE geometry, with the detector 10 m downstream of the beam dump and with no dedicated cosmic-ray veto or neutrino background calculation. The 184.1-event 90% C.L. exclusion threshold quoted in Sec. 2 follows directly from this background level, and therefore all contours in Figs. 1–4 scale with it. Since the paper's main conclusions are phrased as definitive exclusions ('can exclude ... by up to two orders of magnitude'), the authors should either provide a dedicated background simulation for the actual detector and shielding configuration, or clearly present the results as a band under background-rate uncertainty and state that the reach assumes a background suppression that has not yet been demonstrated.
[Sec. 2 / Eq. (2.3)] Equation (2.3) multiplies the number of decaying particles at rest by the acceptance and branching ratios, but the dominant production yields are taken from a GEANT4 estimate [40] that is not described in sufficient detail for the reader to assess its applicability to the CiADS copper dump at 600 MeV and 2 GeV. In particular, the 2.4% and 17.2% values for π+ decay-at-rest per proton should be reported with the underlying pion-production model and target geometry, or at least cross-checked against the known pion-production yield in similar proton-copper dumps. The sensitivity reach for the high-energy (2 GeV) setup depends linearly on this number, so an independent validation would materially strengthen the claimed projections.
[Sec. 4, Figs. 1–4] The acceptance calculation applies the electron/positron energy and opening-angle cuts at generator level and assumes the detector can reconstruct tracks and displaced vertices with the stated liquid-scintillator and LAPPD technologies. No detector response, energy resolution, angular resolution, or vertexing efficiency is included. Since the signal acceptance and the background estimate both depend on these detector capabilities, the paper should state explicitly which efficiency factors are assumed to be unity and which are neglected, and should quantify how a 20–30% reconstruction inefficiency would affect the exclusion contours. Without this information, the 'up to two orders of magnitude beyond current bounds' claims are optimistic in a way that is not bounded by the analysis.

minor comments (6)

[Sec. 1] The phrase 'China initiative Accelerator Driven System' should be 'China Initiative Accelerator-Driven System' or the official project name should be used consistently.
[Sec. 2] The text says the expected POT per year is 6.6 × 10^23 for both beam-energy setups, but the preceding sentence states the beam current is 5 mA with a 75% duty factor; the numerical relation among beam energy, current, and POT is not shown, so the reader cannot verify the 6.6 × 10^23 value.
[Sec. 3.1] In Eq. (3.1), the notation V_L is used for the PMNS matrix without defining it before the equation; please define V_L explicitly in the text.
[Sec. 4.1] The statement that the µ+ decay mode for electron-mixed HNLs is 'almost always sub-dominant' would benefit from a quantitative statement, for example a plot or a sentence describing the typical ratio of the two contributions in the parameter region of interest.
[Figs. 2 and 3] Some axis labels in the figures render with garbled symbols (e.g., 'GeV □1' and 'e+e□'); these should be corrected in the final published version.
[Sec. 4.4] The lower panel of Fig. 4 shows a sensitivity window between about 20 MeV and the muon mass for the light-bino mass; the text would be clearer if it stated that the lower edge is set by the requirement that the bino is kinematically accessible in μ+ decay and that the signal rate drops at small masses because of the E_e± > 17 MeV cut.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the sensitivity projections follow from independent Monte-Carlo kinematics and published decay-rate formulas, with the background level treated as an explicit assumption rather than a fitted or predicted input.

full rationale

This paper presents Monte-Carlo sensitivity projections for LLP searches at the CiADS-BDE. The signal rate is computed from Eq. (2.3) as the product of the number of decaying-at-rest pions and muons, the model branching ratios, the MC-evaluated acceptance for the stated kinematic cuts, and the LLP decay branching ratio. None of these inputs is fitted to data or defined in terms of the claimed reach; the reach contours in Figs. 1–4 are obtained by solving for model parameters that give the stated 184.1-event threshold. The background level of 100±50 events/year is explicitly labeled an order-of-magnitude estimate taken from the authors' earlier proposal (Ref. [21]) and is an assumption, not a derived prediction; a sensitivity projection conditional on an assumed background is not circular. The model decay rates are taken from published literature (e.g., Refs. [32, 38, 57, 58, 76, 78, 82, 83, 138]), and comparisons with existing experimental bounds and with SHiNESS are against external benchmarks. Self-citations to Refs. [21, 80, 138] are used as setup baselines and recasting references, but the central physics reach does not reduce to these citations by construction. The possible weakness of the background estimate is a robustness concern for the projected reach, not a circularity in the derivation chain.

Assumptions & free parameters 0 free parameters · 10 assumptions · 0 invented entities

No free parameters are fitted to data in this sensitivity projection. The central claim rests on assumed experimental inputs (POT, background rate, DAR rates, detector geometry, kinematic cuts) and on published decay-width formulas, listed as axioms. No new particles or mediators are invented; HNLs, ALPs, and RPV binos are established BSM constructs.

assumptions (10)

domain assumption Proton-on-target per year is 6.6e23 and operation lasts 5 years.
Taken from Ref. [21] and used in every event-number normalization; the reach scales linearly with this number.
domain assumption Pion decay-at-rest rates per proton are 2.4% at 600 MeV and 17.2% at 2 GeV, from GEANT4 as quoted in Ref. [40].
These rates enter Eq. (2.3) directly and are not recomputed; the cited paper is not a dedicated pion-production measurement for this target.
domain assumption All muons from pion decay at rest decay at rest inside the dump.
States the branching ratio is about 99.99% and assumes no significant muon loss before decay.
domain assumption Background level is 100 ± 50 events per year, an order-of-magnitude estimate from Ref. [21].
Defines the 184.1 signal-event threshold for 90% C.L. exclusion; no dedicated background simulation is presented.
domain assumption Kinematic cuts require both electrons to have energy above 17 MeV and opening angle above 15 degrees, following SHiNESS (Ref. [42]).
The cuts are adopted from a different experimental environment; their validity for the CiADS-BDE background is assumed.
standard math Decay probability inside the fiducial volume follows the exponential decay law with boosted decay length, as in Eq. (2.1).
Standard relativistic decay kinematics; appropriate for a detector with uniform fiducial volume.
standard math Decay-width formulas for HNLs, ALPs, and RPV binos from Refs. [32,38,57,58,138] are correct.
The paper cites established calculations and does not rederive them, which is appropriate for a sensitivity study.
domain assumption For the electron-mixed HNL, the muon-decay contribution is negligible compared to pion decay.
Section 3.1 states numerical results show it is subdominant, but no quantitative comparison is shown.
domain assumption For LFV ALPs, gmu_e is fixed at 1.9e-11, saturating the TWIST bound on mu -> e + invisible.
This maximizes ALP production; the projected reach in gee is conditional on this choice.
domain assumption RPV sfermion masses are degenerate and benchmarked at 1 TeV and 2 TeV.
The lambda/m^2_f scaling depends on this assumption; results are shown for two benchmark masses.

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Pith. "Pith review of Searching for long-lived particles from stopped pions and muons at the CiADS-BDE." pith.science (2026). https://pith.science/paper/TTLVCOSJ

@misc{pith2026250115460,
  author       = {Pith},
  title        = {Pith review of: Searching for long-lived particles from stopped pions and muons at the CiADS-BDE},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/TTLVCOSJ}},
  note         = {Machine review of arXiv:2501.15460}
}

abstract

The CiADS-BDE is a beam-dump experiment recently proposed for searching for light, long-lived particles (LLPs) at China initiative Accelerator Driven System. Primarily thanks to the large numbers of protons on target at the experiment, it has been shown to be sensitive to large, unique regions of the parameter space of dark photon, with a small detector volume of $\mathcal{O}(0.01\text{--}1)$ m$^3$. Here, we explore the search prospect of the CiADS-BDE for a series of new-physic models predicting LLPs that could emanate from decays at rest of charged pions and muons at the facility, namely, heavy neutral leptons, axionlike particles, and light binos in the R-parity-violating supersymmetry. For these benchmark models, we find that the CiADS-BDE can also probe vast parameter regions beyond the existing bounds.

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