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REVIEW 4 major objections 4 minor 45 references

Pair-produced heavy sterile neutrinos — created via electroweak interactions rather than through their feeble mixing with active neutrinos — can be caught by the LHC's displaced-vertex searches, and Run 2 data already exclude them for masse

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T0 review · deepseek-v4-flash

2026-08-03 15:09 UTC pith:TYN25H7M

load-bearing objection New constraints from recasting an ATLAS displaced-vertex search; the Run-2 exclusion looks solid, projections are optimistic, and the long-lifetime concern in the stress test does not hold. the 4 major comments →

arxiv 2512.17857 v2 pith:TYN25H7M submitted 2025-12-19 hep-ph

Probing electroweak pair production of heavy neutral leptons with displaced vertices at the LHC

St\'ephane Lavignac , Anibal D. Medina , Nicol\'as I. Mileo , Santiago Tanco This is my paper
classification hep-ph
keywords heavy neutral leptonssterile neutrinosdisplaced verticeslong-lived particlessupersymmetryR-parity violationhiggsinoLHC phenomenology
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

The paper shows that displaced-vertex searches at the LHC can probe heavy sterile neutrinos that are produced in pairs with an electroweak-size cross section — an alternative to the standard mechanism where the production itself is suppressed by the tiny active-sterile mixing. Working with a supersymmetric model in which higgsinos decay to a sterile neutrino plus a W or Z boson, the authors recast a Run 2 LHC search for displaced vertices with multiple jets using the search's model-independent reconstruction efficiencies. They obtain 95% confidence exclusion limits on sterile neutrino masses between 20 GeV and 230 GeV and on mixings in the range 4×10^-14 ≲ V_N^2 ≲ 3×10^-10, depending on the higgsino mass parameter. They further project that Run 3 and the high-luminosity LHC could reach discovery sensitivity up to masses of 295 GeV and down to V_N^2 ~ 3×10^-14, and they quantify how the results generalize to any model with pair-produced particles decaying to N + W/Z.

Core claim

The core claim is that when sterile neutrinos are produced in the decays of pair-produced electroweak-interacting particles, the LHC's displaced-vertex searches become sensitive to active-sterile mixings orders of magnitude smaller than in the standard single-production scenario. In the specific supersymmetric model, the production cross section is set by higgsino pair production — an electroweak-size cross section, unsuppressed by the mixing — while the sterile neutrino decay length is controlled by V_N^2, the sum of squared mixing angles. Because the decay is displaced and the decay products are hadronic, a multijet displaced-vertex search can observe these events with essentially no stand

What carries the argument

The machinery that carries the argument is the model-independent event- and vertex-level reconstruction efficiency kit published alongside a Run 2 LHC search for displaced vertices with multiple jets. It converts truth-level signal events into predicted yields through: (i) an event-level efficiency parameterized by jet multiplicity, jet pT thresholds, and the largest decay radius among the two long-lived particles; and (ii) vertex-level requirements — decay inside a fiducial volume, decay radius above 4 mm, at least one track with large impact parameter, at least five charged tracks, and a displaced-vertex invariant mass above 10 GeV — with efficiencies binned by track count, mass, and radiu

Load-bearing premise

The reconstruction efficiencies, validated on the RPV electroweakino benchmark of the original search, are assumed without a dedicated closure test to describe displaced vertices from sterile-neutrino decays via on- or off-shell W/Z bosons, whose track multiplicities and invariant-mass distributions differ.

What would settle it

Compare the truth-level invariant-mass and track-multiplicity distributions of the displaced vertices produced in this model with those of the benchmark used to publish the efficiency maps; a significant mismatch would invalidate the transfer. The decisive test is to simulate a sample of e.g. m_N = 150 GeV events through the full detector simulation and official analysis and compare the resulting yields with the paper's recast prediction — a discrepancy larger than the combined systematic uncertainties would overturn the exclusion and discovery projections.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • Run 2 data already exclude a substantial region of the (m_N, V_N^2) plane for this model: sterile neutrino masses from about 20 to 230 GeV and mixings from 4×10^-14 to 3×10^-10, with the exact band depending on the higgsino mass.
  • Standard production through W decays limits displaced-vertex searches to m_N ≲ 40 GeV and V_N^2 ≳ 5×10^-10 at the HL-LHC; the pair-production channel extends this reach to 295 GeV and 3×10^-14 at the same collider.
  • For parent particles with pair-production cross sections of order tens of femtobarns, the discovery reach is nearly insensitive to the exact cross-section value; below about 1 fb, the reach degrades sharply and depends sensitively on the assumed cross section.
  • The search strategy transfers to any model with pair-produced heavy states decaying to a sterile neutrino plus a W or Z boson, provided the final state contains enough high-pT jets to pass the trigger.

Where Pith is reading between the lines

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

  • The technique could make the LHC sensitive to the 'naive seesaw' region V_N^2 ~ m_ν/m_N without requiring fine-tuning in the neutrino mass matrix — a region standard searches are expected to miss by several orders of magnitude; if the model is right, existing data already probe that territory.
  • The same efficiency maps could constrain other long-lived-particle models with pair production and hadronic decays — e.g., dark sector particles decaying to jets — but each such model needs its own validation, since the efficiencies were derived and tested for a specific decay topology.
  • A dedicated Run 3 search designed with a low-mass HNL benchmark among its signal models would bypass the model-transfer uncertainty highlighted here and directly test the pair-production mechanism.
  • The projected reach relies on zero standard-model background; if the growing Run 3 dataset reveals a small residual background, the effective discovery threshold will rise and the lowest-mixing reach will shrink accordingly.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

4 major / 4 minor

Summary. This paper studies displaced-vertex signatures of pair-produced heavy neutral leptons (sterile neutrinos) within an R-parity-violating supersymmetric model in which higgsino-like electroweakinos decay to a pseudo-Goldstone sterile neutrino N plus SM gauge bosons. The sterile neutrino subsequently decays via its mixing with active neutrinos, V_Nα, producing displaced hadronic/leptonic vertices. Using the ATLAS multijet displaced-vertex search (139 fb^-1, Ref. [32]) and its public reinterpretation material, the authors recast the search to this model and derive 95% C.L. exclusion regions in the (m_N, μ, V_N^2) parameter space. They then extrapolate to Run 3 and HL-LHC assuming zero SM background and a 3-event discovery threshold, and they generalize the results to a broader class of models with pair-produced ψ → N+V. The headline Run-2 claim is an excluded window 4×10^-14 ≲ V_N^2 ≲ 3×10^-10 for sterile neutrino masses up to ~230 GeV, with the exact range depending on the higgsino mass parameter μ.

Significance. If the Run-2 exclusion is robust, this work would open a qualitatively new probe of active-sterile neutrino mixing: the production cross section is not suppressed by V_N^2, so the search can reach values of V_N^2 several orders of magnitude below what standard W/Z-mediated HNL searches can access, potentially testing the seesaw-like relation V_N ~ sqrt(m_ν/m_N) in the 20–300 GeV mass range. The paper has notable strengths: it uses publicly available ATLAS auxiliary efficiencies, describes the event-generation and recasting chain in detail, validates the pipeline by reproducing the ATLAS RPV electroweakino exclusion with a pyhf-based statistical model (Appendix A), and makes the model dependence explicit through the parameters m_N, μ, M1, M2, tanβ, and z. The generalization to arbitrary ψ→NV scenarios is a useful addition. However, the validation is limited to short lifetimes and to the RPV decay topology, while the central low-V_N^2 boundary of the claimed exclusion lies partly outside that validated regime; moreover, the statistical treatment of the main Run-2 exclusion contours is not fully documented. The significance is therefore conditional on closing these gaps.

major comments (4)
  1. The manuscript explains in detail how event yields are computed, but it never specifies the statistical procedure used to draw the 95% C.L. Run-2 exclusion contours in Figs. 2 and 3. Is a parameter point excluded by comparing the predicted signal yield to an ATLAS observed upper limit in each signal region, or by requiring a fixed signal threshold (e.g., 3 events under a zero-background hypothesis)? Appendix A uses a two-bin pyhf model with background and uncertainties for the validation, but no equivalent description is given for the main results. Since the headline numbers are presented as recast ATLAS exclusions, the limit-setting prescription must be stated; if a simple zero-background criterion is used instead, the contours should be labeled as idealized sensitivity rather than observed exclusions.
  2. The closure test validates the recasting only below τ ≈ 10 ns; above this the validation shows an excess attributed to other independent procedures, but not resolved against ATLAS data. The central low-V_N^2 boundary of the Run-2 exclusion (abstract; Fig. 3) includes parameter points with proper lifetimes far exceeding 10 ns. For example, at m_N ≲ 100 GeV and V_N^2 ≈ 4×10^-14, the decay length is of order meters to kilometers. In this regime the ATLAS reconstruction efficiencies are being used outside the range where the recasting was validated. The authors should either provide a dedicated closure test covering the long-lifetime bins, or explicitly restrict the claimed exclusion to the validated lifetime window.
  3. The recasting procedure is validated against the same RPV electroweakino topology used in the ATLAS benchmark (three-body chargino/neutralino decay into quarks). The sterile neutrino decays in the model of Section 2 proceed through on-shell or off-shell W/Z bosons, with two-body quark-antiquark decays, neutrino channels, and hadronic tau decays; these have different track multiplicities, invariant-mass distributions, and flavour composition. The ATLAS parameterized efficiencies are binned in track count, invariant mass, and decay radius, which mitigates the concern, but it remains an untested assumption that the efficiency parameterization transfers to this different decay topology. A closure test against a simulated W/Z-like LLP model, or a cross-check using a second public LHC search, would substantially strengthen the validity of the derived contours in Figs. 3, 5, 7, and 8.
  4. The Run-3 and HL-LHC discovery reaches assume exactly zero SM background and a 3-event discovery threshold. The underlying ATLAS search (Ref. [32]) reports non-negligible expected backgrounds in the multijet displaced-vertex signal regions, mostly from instrumental and material interactions. While zero background may be a useful optimistic benchmark, it is not a conservative projection for a real detector. The projected contours should either incorporate an expected background scaled from the Run-2 ATLAS search, or be explicitly labeled as optimistic background-free sensitivity.
minor comments (4)
  1. Typographical errors: 'assumpotion', 'serile', and 'neurinos' appear in the introduction; 'diplaced' appears in Section 4. These should be corrected.
  2. The abstract quotes the excluded mixing range as 4×10^-14 ≲ V_N^2 ≲ 3×10^-10, while Section 4 states for μ ≤ 800 GeV '4×10^-14 ≤ V_N^2 ≤ 2×10^-10'. The relation between these numbers should be reconciled or clarified.
  3. The lower bound on μ from the CMS electroweak search is described only in words ('μ ≳ 220 GeV for m_N = 70 GeV, 135 GeV for m_N = 110 GeV'). Since the subsequent choice μ ≥ 500 GeV is motivated by this bound and by Run-3 improvements, a brief description or reference to a dedicated recasting would improve transparency.
  4. Reference [45] appears incomplete: it lacks a full title and likely a journal/arXiv identifier. Please provide the complete citation.

Circularity Check

0 steps flagged

No significant circularity: exclusion limits are derived from external ATLAS efficiencies/data; Appendix A lifetime-range validation gap is a limitation, not a circular step.

full rationale

The paper's central claim — the Run 2 exclusion regions in (m_N, V_N^2) — is obtained by computing truth-level signal yields for the model of Section 2 and applying ATLAS's published event- and vertex-level efficiencies from Ref. [53]. No model parameter is fitted to the ATLAS data; the signal counts are computed from the model and compared with the external ATLAS search. The model itself and the seesaw-like relation V_N ~ sqrt(m_nu/m_N) come from the authors' earlier paper [31], but they are used as inputs for a sensitivity study, not as evidence for the exclusion: the paper does not claim to derive the model from the ATLAS search. The recasting is validated in Appendix A against the ATLAS RPV benchmark, which is an external contour, so that check is not circular. The manuscript does contain an explicit, self-acknowledged limitation: Appendix A states 'Our implementation matches the ATLAS contour below tau=10 ns, while the excess seen in the large lifetime regime in consistent with other independent validation procedures [61].' This means the low-V_N^2 edge of the claimed Run-2 exclusion, which corresponds to long sterile-neutrino lifetimes, is not covered by the validation and rests on an extrapolation of the efficiency parameterization. That is a robustness/validity gap, not a definitional circularity: the predicted exclusion is not equivalent to its inputs by construction, nor is any fitted parameter renamed as a prediction. No step in the derivation reduces to a self-citation chain or to a fit, so the circularity score is 0.

Axiom & Free-Parameter Ledger

4 free parameters · 5 axioms · 1 invented entities

The central results rest on the RPV-SUSY model (borrowed from the authors' own Ref. [31]), on scanned model parameters (m_N, mu, z), on fixed parameters (M1, M2, tan beta), and on the stated zero-background, 3-event discovery convention for future projections. These are all clearly presented in Sections 2-4. The paper does not fit any parameter to the ATLAS data; the excluded regions are predictions derived from the model compared with the external ATLAS measurement.

free parameters (4)
  • m_N (sterile neutrino mass) = scanned 20-300 GeV
    Free model parameter; the exclusion and discovery contours are drawn in the (m_N, V_N^2) plane.
  • mu (higgsino mass parameter) = scanned 500 GeV - 2 TeV
    Sets the higgsino pair-production cross section and therefore the sterile-neutrino pair yield.
  • z (complex seesaw angle) = scanned with |Im z| <= 3
    Controls V_N within the range consistent with neutrino oscillation data and a <5% fine-tuning bound.
  • M1, M2, tan(beta) = 3 TeV, 6 TeV, 10
    Fixed by hand; the paper states they have little impact on the collider signatures as long as M1,M2 > mu.
axioms (5)
  • domain assumption R-parity-violating SUSY model with a global U(1) and a pseudo-Goldstone sterile neutrino (Eq. 1)
    This is the entire signal model, taken from the authors' Ref. [31]; all phenomenology is computed within it.
  • domain assumption Higgsino decays to N + SM particles with branching ratio close to 100%
    Needed to justify pp -> chi chi -> NN V V' as the dominant production mode; follows from the model but is not directly verified elsewhere.
  • domain assumption Effective mixing relations (Eq. 8) and effective Lagrangian (Eq. 7)
    These map the model parameters to active-sterile mixings and decay widths; the paper states they were checked numerically but does not show the comparison.
  • ad hoc to paper |Im z| <= 3 fine-tuning bound
    Imposed to avoid more than ~5% fine-tuning in the light neutrino mass matrix; it limits the maximal V_N value probed.
  • domain assumption Zero SM background for Run-3/HL-LHC projections
    Motivated by the small expected background in the ATLAS DV search; used to define the 3-event discovery threshold for the projections.
invented entities (1)
  • Pseudo-Goldstone sterile neutrino N (from Ref. [31]) independent evidence
    purpose: Provides the long-lived particle whose displaced decays are searched for; produced in pairs in higgsino decays.
    The paper specifies mass ranges (m_N ~ 20-300 GeV) and mixings (V_N^2 ~ 3e-14 to 3e-10) that would manifest as displaced multijet vertices at the LHC, giving a falsifiable collider handle, although the entity itself was introduced in prior work by two of the present authors.

pith-pipeline@v1.3.0-alltime-deepseek · 20167 in / 19649 out tokens · 212041 ms · 2026-08-03T15:09:04.511865+00:00 · methodology

0 comments
read the original abstract

We study the sensitivity of displaced vertex searches at the LHC to heavy neutral leptons (also known as sterile neutrinos) that are produced in pairs with an electroweak-size cross section. We work within the context of a supersymmetric model in which the sterile neutrino is produced along with Standard Model particles in higgsino decays. By making use of model-independent reconstruction efficiencies provided by the ATLAS collaboration in their search for displaced vertices with multiple jets, we obtain constraints on this model from $139$ fb$^{-1}$ of data collected by ATLAS during the LHC Run~2, and assess the discovery reach of Run~3 and of the high-luminosity LHC (HL-LHC). Depending on the higgsino mass parameter, sterile neutrino masses between $20~\mathrm{GeV}$ and $230~\mathrm{GeV}$ and active-sterile neutrino mixings in the range $4 \times 10^{-14} \lesssim V^2_N \lesssim 3 \times 10^{-10}$ can be excluded. At the HL-LHC, discovery-level significances could be reached for sterile neutrinos masses up to $295~\mathrm{GeV}$ and values of $V^2_N$ down to $3 \times 10^{-14}$. Finally, moving away from the supersymmetric scenario, we study to which extent these results can be generalized to a broader class of models in which the sterile neutrinos are produced in the decays of heavier particles that are themselves pair-produced with an electroweak-size cross section.

Figures

Figures reproduced from arXiv: 2512.17857 by Anibal D. Medina, Nicol\'as I. Mileo, Santiago Tanco, St\'ephane Lavignac.

Figure 1
Figure 1. Figure 1: Production (left) and decay (right) of the sterile neutrino. In the left diagram, [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: 95% C.L. exclusion regions in the (mN , µ) parameter space of the model of Section 2 from the recasting of the ATLAS analysis [32], assuming maximal real mixing (left plot) and minimal mixing (right plot). ≈ 6 for mN = 70 GeV, it is left unchanged for mN = 150 GeV. This reflects the fact that the sterile neutrino decay length strongly varies with its mass (with cτN ∝ m−5 N for mN < MW and cτN ∼ m−3 N for m… view at source ↗
Figure 3
Figure 3. Figure 3: 95% C.L. exclusion regions in the (mN , V 2 N ) parameter space of the model of Section 2 from the recasting of the ATLAS analysis [32], assuming µ = 500 GeV (left plot) and µ = 800 GeV (right plot). The bottom dark grey area is inconsistent with neutrino oscillation data, while the top light grey region corresponds to a fine-tuning larger than ≈ 5% in the light neutrino mass matrix. on to other values of … view at source ↗
Figure 4
Figure 4. Figure 4: Projected discovery regions in the (mN , µ) parameter space of the model of Section 2 for LHC Run 3 with L = 300 fb−1 , assuming maximal real mixing (left plot) and minimal mixing (right plot). ( √ s = 13.6 TeV) and an integrated luminosity of L = 300 fb−1 , assuming maximal real mixing (left plot) or minimal mixing (right plot). As discussed in Section 3, we assumed zero background from SM processes, such… view at source ↗
Figure 5
Figure 5. Figure 5: Projected discovery regions in the (mN , V 2 N ) parameter space of the model of Section 2 for LHC Run 3 with L = 300 fb−1 , assuming µ = 500 GeV (upper left plot), 800 GeV (upper right plot) and 1.2 TeV (lower plot). curves in the plots of Figures 3 and 5. Let us now consider the high-luminosity LHC, which is expected to collect L = 3000 fb−1 of pp collision data at a center-of-mass energy √ s = 14 TeV [… view at source ↗
Figure 6
Figure 6. Figure 6: Projected discovery regions in the (mN , µ) parameter space of the model of Section 2 for the HL-LHC with L = 3000 fb−1 , assuming maximal real mixing (left plot) and minimal mixing (right plot). 50 100 150 200 250 mN [GeV] 10−14 10−13 10−12 10−11 10−10 V 2N Min. Mix. Max. Real Mix. µ = 800 GeV √ s = 14 TeV L = 3 ab−1 High pT SR Trackless Jet SR 50 100 150 200 250 mN [GeV] 10−14 10−13 10−12 10−11 10−10 V 2… view at source ↗
Figure 7
Figure 7. Figure 7: Projected discovery regions in the ( [PITH_FULL_IMAGE:figures/full_fig_p014_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Projected Run 3 discovery areas in the ( [PITH_FULL_IMAGE:figures/full_fig_p015_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Comparison between ATLAS observed exclusion limit and our validation of the recasting procedure, [PITH_FULL_IMAGE:figures/full_fig_p017_9.png] view at source ↗

discussion (0)

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Reference graph

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