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REVIEW 3 major objections 6 minor 75 references

Probing light neutralinos from pair-produced sleptons with displaced vertices at the high-luminosity LHC

T0 review · 3 major / 6 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read Pair production of sleptons separates the RPV coupling from the production rate, letting the HL-LHC reach couplings near 10^-7 and neutralino masses about four times the single-slepton channel.

desk verdict Solid, honest projection: the pair-production/decay decoupling gives a real and interesting gain for RPV neutralino searches, but the headline reach is pinned to a zero-background extrapolation that should be caveated. read the letter →

arxiv 2505.06365 v2 pith:7ST326TK submitted 2025-05-09 hep-ph

Giovanna Cottin , Juan Carlos Helo , Fabián Hernández-Pinto , Nicolás A. Neill , Zeren Simon Wang This is my paper · ORCID
classification hep-ph
keywords R-parityviolationlong-livedparticlesdisplacedverticessupersymmetrylightneutralinosleptonpairproductionHL-LHCelectroweak
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 proposes that the high-luminosity LHC can uncover long-lived light neutralinos in R-parity-violating supersymmetry by searching for displaced vertices from sleptons produced in pairs. In the scenario studied, two left-handed selectrons are produced through Drell-Yan-like electroweak processes and each decays promptly to an electron plus a bino-like neutralino; the neutralino then decays, through the RPV coupling $\lambda'_{111}$ and an off-shell selectron, into an electron and two jets at a macroscopic distance. Because the production rate does not depend on the RPV coupling, the decay length is the only place the coupling matters, and the analysis claims a reach down to $\lambda'_{111} \sim 10^{-7}$ at 3000 fb$^{-1}$, with neutralino masses up to about 800 GeV for $\lambda'_{111}=10^{-5}$. This would extend the previously studied single-slepton-production scenario by up to three orders of magnitude in the coupling and about a factor of four in neutralino mass. The practical payoff is that a search modeled on the LHC displaced-vertex selections could turn the inner tracker into a probe of RPV supersymmetry in a region currently inaccessible to prompt searches.

What carries the argument

The load-bearing mechanism is the decoupling of production from decay: the selectron pair is produced by electroweak Drell-Yan-like processes through $Z/\gamma^*$ exchange, and the RPV coupling $\lambda'_{111}$ appears only in the neutralino decay. The decay width scales as $\Gamma_{\tilde\chi_1^0} \propto m_{\tilde\chi_1^0}^5 (\lambda'_{111}/m_{\tilde e_L}^2)^2$, which sets the proper decay length $c\tau$ that places the displaced vertices inside the tracker acceptance. The analysis then applies the displaced-vertex signal-region selections (impact parameter $|d_0|>2$ mm, transverse decay radius 4-300 mm, longitudinal position $|z_{\rm DV}|<300$ mm, $n_{\rm trk}\ge 5$, $m_{\rm DV}\ge 10$ GeV) and the parameterized vertex-level efficiencies in the $m_{\rm DV}$ versus $n_{\rm trk}$ plane.

What would settle it

Run the same displaced-vertex selection ($|d_0|>2$ mm, 4 mm $<r_{\rm DV}<300$ mm, $|z_{\rm DV}|<300$ mm, $n_{\rm trk}\ge 5$, $m_{\rm DV}\ge 10$ GeV) on the first 3000 fb$^{-1}$ of HL-LHC data and count the events in the signal region: if the expected background reaches roughly two events, the $N=3$ curves no longer correspond to 95% C.L. exclusions and the claimed $\lambda'_{111}$ reach shrinks by about an order of magnitude at its lower boundary.

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Extended reading notes

Core claim

The paper's central claim is that the process $pp\to \tilde e_L^+ \tilde e_L^- \to e^+ \tilde\chi_1^0\, e^- \tilde\chi_1^0$ can be used at the HL-LHC to search for long-lived bino-like neutralinos in the RPV-MSSM, and that this channel is much more sensitive than the single-slepton production channel $pp\to \tilde e_L \to e \tilde\chi_1^0$. The slepton-pair production cross section, mediated by $Z/\gamma^*$ exchange, is essentially independent of $\lambda'_{111}$ as long as the coupling is small enough not to affect the slepton's total decay width, so the only coupling dependence enters through the neutralino decay width $\Gamma_{\tilde\chi_1^0} \propto m_{\tilde\chi_1^0}^5 (\lambda'_{111}/m_{\tilde e_L}^2)^2$. With a displaced-vertex selection requiring tracks with $|d_0|>2$ mm, $r_{\rm DV}$ between 4 and 300 mm, $|z_{\rm DV}|<300$ mm, at least five tracks, and $m_{\rm DV}\ge 10$ GeV, using parameterized vertex efficiencies from the reference displaced-vertex search, the analysis obtains 95% C.L. exclusion contours at 3000 fb$^{-1}$. For $m_{\tilde e_L}=0.5$ TeV the reach spans $\lambda'_{111}$ from about $10^{-7}$ to $10^{-1}$ and neutralino masses from 10 GeV up to near the selectron mass; for $\lambda'_{111}=10^{-5}$, neutralino masses up to about 800 GeV and selectron masses up to about 1.25 TeV are probed. The paper also notes that the strategy applies equally to the related couplings $\lambda'_{112}$, $\lambda'_{121}$, and $\lambda'_{122}$, because the jets are not flavor-tagged.

Load-bearing premise

The projected exclusions assume the displaced-vertex search region contains zero background events at the full high-luminosity dataset, extrapolated from about 0.02 background events in the smaller dataset that defined the signal region, and that the vertex-tagging efficiency is unchanged at higher pile-up.

Editorial extensions

If this is right

  • At 3000 fb$^{-1}$ and $m_{\tilde e_L}=0.5$ TeV, the search would probe $\lambda'_{111}$ between about $10^{-7}$ and $10^{-1}$, covering neutralino masses from 10 GeV up to about the selectron mass, including mass splittings as small as 4 GeV.
  • For $\lambda'_{111}=10^{-5}$, the reach extends to neutralino masses up to about 800 GeV and selectron masses up to about 1.25 TeV; for $\lambda'_{111}=10^{-4}$, neutralino masses of about 20-300 GeV with selectron masses between 0.25 and 1.25 TeV are accessible.
  • No sensitivity is found for $\lambda'_{111} \lesssim 10^{-8}$, marking a lower boundary on the coupling reach of this channel.
  • Because the two final-state jets are not flavor-tagged, the same displaced-vertex strategy is sensitive to the related couplings $\lambda'_{112}$, $\lambda'_{121}$, and $\lambda'_{122}$.
  • The displaced-vertex search region is complementary to the prompt dilepton-plus-missing-energy search, which only excludes very long-lived neutralinos that escape as missing energy.

Reading between the lines

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

  • Combining this pair-production search with the single-slepton channel of the earlier study could cover the compressed region near $m_{\tilde\chi_1^0} \approx m_{\tilde e_L}$, where the pair-production signal weakens kinematically; the single-production rate, though suppressed by $\lambda'_{111}$, is not cut off by that threshold.
  • The zero-background assumption is the main fragility: if the ~0.02 background events at 32.8 fb$^{-1}$ scale linearly with luminosity, the expected background at 3000 fb$^{-1}$ is about 1.8 events, enough to weaken the $N=3$ exclusion contours at the low-coupling boundary.
  • Dedicated displaced-electron triggers, beyond the 25-GeV single-electron trigger assumed here, could extend the reach to smaller mass splittings and longer lifetimes; the analysis already benefits from events triggered by displaced electrons coming from neutralino decays.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 6 minor

Summary. The paper studies R-parity-violating supersymmetry with a light, long-lived bino-like neutralino LSP decaying via the coupling λ'_111 into an electron and two jets. Unlike an earlier single-slepton-production study, the neutralinos are produced via Drell-Yan-like pair production of left-handed selectrons, pp → e~+ e~- → e+ χ e- χ, so the production cross section is independent of λ' in the narrow-width limit. The authors simulate the signal at 13 TeV with MadGraph and Pythia, apply a displaced-vertex selection inspired by an ATLAS search, use parameterized ATLAS vertex efficiencies, and assume zero background at 3000 fb^-1 to derive 95% CL sensitivity contours in the (λ'_111, m_χ) and (m_χ, m_eL) planes. They find that the HL-LHC can probe λ'_111 down to about 10^-7 and neutralino masses up to about 1 TeV, claiming improvements of up to three orders of magnitude in λ' and four times in mass over the previously studied single-slepton production scenario.

Significance. The physical idea is clean and the paper is careful about many details: it provides a full cutflow, three benchmarks, a comparison with the 0νββ constraint, a CheckMATE recast of a prompt dilepton+MET search, and it displays contours for several values of the required signal-event number N, which allows the reader to gauge the impact of background or efficiency assumptions. The key claim—that pair production decouples the production rate from the RPV coupling and thereby extends the reach to much smaller λ'—is well motivated and likely correct in its qualitative form. If the detector performance assumptions hold, this is a valuable search strategy for a theoretically motivated scenario. The main caveats are the optimistic zero-background extrapolation and the assumption that Run-2 DV efficiencies carry over to HL-LHC pile-up, both of which are acknowledged in the text.

major comments (3)
  1. [Sec. 4.1, footnote 6] The 95% CL contours are drawn for N=3 signal events under the zero-background assumption at L=3000 fb^-1. The text reports about 0.02 background events at 32.8 fb^-1 in the ATLAS search [68]; a linear luminosity scaling gives about 1.8 expected background events at the HL-LHC. For a Poisson counting experiment with b=1.8, the expected 95% CL exclusion requires roughly N≈5 signal events, not 3. Since the lower boundary of the sensitivity region scales approximately as sqrt(N_threshold), the minimum λ'_111 rises by about 25–30% and the maximum neutralino mass at fixed λ' decreases. The abstract's headline claim of probing λ' values 'up to three orders of magnitude smaller' is therefore tied to this optimistic extrapolation. Please provide a quantitative estimate of the sensitivity with a realistic background (for example, using CLs or a b=1.8 benchmark) and adjust the abstract and conclusions accordingly, or explicitly state that the quoted numbers are for the zero-background idealization.
  2. [Sec. 3 and Eq. (2.2)] The signal simulation forces each selectron to decay as e~L -> e ± χ~0_1, implicitly taking BR(e~L -> e χ) = 1. However, the RPV operator L Q D^c also contains the coupling of e~L to u and d quarks, so for λ'_111 ≳ 0.1 the direct RPV decay e~L -> u dbar can compete with the electroweak decay and reduce the signal yield in the upper part of Fig. 5. Please quantify this branching-ratio suppression and either include it in the simulation or restrict the sensitivity plots to the region where it is negligible.
  3. [Sec. 3, footnote 6] The analysis assumes that the ATLAS 13 TeV displaced-vertex reconstruction efficiencies from Ref. [68] remain unchanged at the HL-LHC pile-up of about 200 interactions per crossing. Since the signal yield is directly proportional to these efficiencies, a degradation of even 20–30% would shift the exclusion boundaries noticeably. Please discuss the expected pile-up dependence and show, for instance, the sensitivity contours for reduced efficiencies (e.g., 50% of the nominal efficiency); the higher-N contours in Fig. 5 give a partial handle, but an explicit statement would make the robustness of the reach clearer.
minor comments (6)
  1. [Abstract] The word 'accesible' is a typo and should be 'accessible'.
  2. [Figs. 5 and 6] The axis labels show corrupted exponents such as '10□7' and '10□4'; these should be rendered as 10^{-7} and 10^{-4}.
  3. [Sec. 3] The signal is simulated at √s=13 TeV, but the HL-LHC operates at 14 TeV; the paper does not state how the production cross section is scaled to 14 TeV. Please comment on the expected increase (typically 10–20% for these masses) or justify neglecting it.
  4. [Eq. (2.4)] The decay-width relation is written as a proportionality; giving the explicit expression with the phase-space factor and color factor would make the scaling clearer.
  5. [Sec. 4.1] The claim that mass splittings as low as 4 GeV can be probed relies on displaced electrons passing the pT>25 GeV trigger; please clarify whether the default generator cut of pT>10 GeV (footnote 5) applies to all final-state electrons and how the single-electron trigger efficiency is modeled for displaced electrons.
  6. [Appendix A] The CheckMATE recast of the ATLAS dilepton+MET search is described as being performed at √s=14 TeV, while the main signal samples are generated at 13 TeV; please clarify whether the recast uses separate 14 TeV event generation or rescales the 13 TeV samples.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the central sensitivity derivation is self-contained, and the comparison to the authors' prior single-production study is a benchmark, not an input.

full rationale

The paper's derivation chain is self-contained. The pair-production cross section for pp -> eL+ eL- is computed from electroweak Drell-Yan-like processes and is independent of lambda'_111, as stated in Sec. 2 and shown in Fig. 2, while the neutralino decay width in Eq. (2.4) is the standard RPV relation and is not derived from the sensitivity result. The sensitivity contours in Figs. 5 and 6 follow from Monte Carlo simulation with detector efficiencies parameterized from the ATLAS DV search [68], then counting expected signal events against a threshold of N = 3. No equation defines a predicted quantity in terms of the fitted or assumed inputs; in particular, the claimed improvement over single-slepton production is a genuine consequence of removing the RPV coupling from the production step. The comparison with the authors' prior work [32] is used as an external benchmark for the reach, and while self-citations are numerous, none carries the load of the central derivation. The zero-background assumption in footnote 6 and the extrapolation of DV efficiencies to HL-LHC conditions are acknowledged limitations of the sensitivity estimate, but they are assumptions about background and detector response, not circular reductions of the result to its inputs. Therefore the paper warrants a circularity score of 0.

Assumptions & free parameters 3 free parameters · 7 assumptions · 0 invented entities

The central projection depends on the RPV-MSSM benchmark assumptions and on two detector-performance extrapolations (zero background, constant DV efficiencies) that are not validated by data. No invented entities are introduced.

free parameters (3)
  • lambda-prime-111 = scanned over 1e-8 to 1e-1
    Trilinear RPV coupling; model input scanned in figures 5 and 6, not fitted to data. Benchmarks 1e-4, 1e-5, 1e-7 are used in figure 6.
  • selectron mass m~eL = 0.5, 0.75, 1, 1.25 TeV
    Selectron mass; scanned benchmark values, not fitted.
  • neutralino mass m~chi01 = 10 GeV to roughly 1 TeV
    Neutralino mass; scanned range, not fitted.
assumptions (7)
  • domain assumption Baryon triality B3 forbids lambda-double-prime couplings, preventing rapid proton decay
    Section 2, after Eq. (2.1); needed to make the RPV model viable.
  • ad hoc to paper Only lambda-prime-111 is nonzero; all superpartners except the selectron and neutralino are decoupled at 10 TeV
    Section 2, parameter set (2.3); simplifies phenomenology and is the benchmark scenario.
  • domain assumption A bino-like neutralino can be the light LSP down to 10 GeV subject to conditions (1)-(3)
    Section 1, conditions from Refs. [33-45]; needed for the low-mass reach.
  • domain assumption Narrow-width approximation for selectron decays is valid for lambda-prime-111 below about 1e-1
    Footnote 3; limits the parameter range where the production/decay factorization holds.
  • ad hoc to paper Background for the DV signal region is zero at 3000 inverse femtobarns
    Footnote 6; extrapolates 0.02 events at 32.8 inverse femtobarns to higher luminosity.
  • domain assumption ATLAS parameterized DV efficiencies and electron smearing remain valid at HL-LHC luminosities
    Section 3, text after Table 1; unvalidated extrapolation to 3000 inverse femtobarns with higher pile-up.
  • ad hoc to paper Signal production cross section computed at 13 TeV approximates the 14 TeV HL-LHC
    Section 3 simulation setup; no rescaling performed, direction conservative.

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Cite this review

Pith. "Pith review of Probing light neutralinos from pair-produced sleptons with displaced vertices at the high-luminosity LHC." pith.science (2026). https://pith.science/paper/7ST326TK

@misc{pith2026250506365,
  author       = {Pith},
  title        = {Pith review of: Probing light neutralinos from pair-produced sleptons with displaced vertices at the high-luminosity LHC},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/7ST326TK}},
  note         = {Machine review of arXiv:2505.06365}
}
abstract

We study light neutralinos ($\tilde \chi_1^0$) with masses ranging from 10 GeV to several hundred GeV within the framework of R-parity-violating (RPV) supersymmetry. These light neutralinos can be long-lived, decaying with a macroscopic displacement (order cm) inside the LHC main detectors. Complementing previous works on the subject, here we focus on their production through the electroweak pair production of left-chiral sleptons ($\tilde e_{L}$), with the signal process $pp\to \tilde e^+_{L} \tilde e^-_{L} \to e^+ \tilde \chi_1^0 e^- \tilde \chi_1^0$. In contrast to the previous study with a singly produced slepton, where the RPV coupling $\lambda'_{111}$ induces both the production and decay of the light neutralino, in our scenario the production proceeds through Drell-Yan-like processes that are essentially independent of RPV couplings. Correspondingly, we implement a displaced-vertex search strategy for which our numerical analysis shows that the high-luminosity LHC can probe $\lambda'_{111}$ values up to three orders of magnitude smaller, and neutralino masses up to about four times larger than those accesible in the previously studied single-slepton production scenario.

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Pith tools

Reviewed August 15, 2026 · model on record in the stance chip above.