{"id":"0252447d-b669-4702-95c3-71e1fd83cda4","arxiv_id":"2506.19062","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":4.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":6,"one_line_summary":"In three WIMP models, blind spots and loop corrections keep spin-independent scattering below current bounds and, in parts of parameter space, below the neutrino floor, while satisfying thermal relic density.","lead":"Three dark matter models with extra scalar or gauge sectors are shown to have parameter regions where WIMPs evade current direct detection limits, sometimes falling below the irreducible neutrino background. The paper maps benchmark spaces between today's experiments and the fundamental sensitivity floor, giving future detectors specific target scenarios.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Incomplete extended-Higgs one-loop calculation leaves the singlet-doublet+2HDM below-neutrino-floor benchmarks unestablished.","rationale":"The paper's headline qualitative message, that blind-spot WIMP models can hide below current and near-future direct-detection limits, is supported by three independent frameworks. The minimal singlet-doublet section uses a closed one-loop EW/Higgs calculation; the 2HDM+a section relies on published loop formulas; and the dark SU(3) exact cancellation, despite an apparent sign typo between Eqs. (28) and (26), is restored by the sign in the Lagrangian. The most fragile point is the singlet-doublet+2HDM benchmark scan, where the authors themselves flag the calculation as incomplete. Since the quantitative 'sizable portion inside the neutrino floor' claim is presented as a benchmark deliverable, this is load-bearing; the paper should remain CONDITIONAL on a complete one-loop computation or on an explicit demonstration that the omitted terms are negligible. This agrees with the reader's weakest-assumption identification.","tokens_in":18695,"tokens_out":8386,"duration_ms":90589,"concrete_test":"Generate the singlet-doublet+2HDM model of Eq. (12) in FeynRules, export to FeynArts/FormCalc or an equivalent one-loop tool, and compute the complete one-loop SI cross section at the benchmark points of Fig. 2: (m_S, m_D) = (150, 500) GeV, tanβ = 5, y = (1, 0.5), m_H = m_A = m_H± = (200, 300, 500) GeV, for each Yukawa configuration. Include all one-loop triangle and box diagrams with h, H, A, H±, W±, and Z in the loops, not just the gauge-mediated terms. Compare the resulting ξσ_SI to the plotted values and to the LZ/XLZD and neutrino-floor curves. If any plotted sub-floor point moves above LZ, or shifts by more than a factor of 2, the incomplete-loop concern lands and the benchmark claims in Section II require revision.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The quantitative pillar of the singlet-doublet+2HDM part of the central claim is Eq. (14), presented as the SI cross section including radiative corrections. Immediately after Eq. (14), the authors state that complete computation of extended Higgs sector loop contributions remains for future work and that the numerical analysis includes only the known gauge-boson-mediated terms analogous to the minimal model; Section V repeats that a full computation of Eq. (14) is crucial. This is an explicit admission that the plotted points in Figs. 2-3 do not implement the full one-loop expression. The omitted diagrams, charged-Higgs H± loops, pseudoscalar A loops, and the complete set of scalar triangle/box diagrams with extended-Higgs vertices, are exactly the terms that can be largest when tree-level h/H couplings are tuned to their blind-spot zeros. Therefore the claim that a sizable portion of this framework lies inside the neutrino floor is not yet supported by the calculation shown. The concern is not about the qualitative existence of blind spots, which is established elsewhere, but about the specific benchmark cross sections that are the paper's quantitative deliverable.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The manuscript studies spin-independent (SI) direct-detection cross sections in three WIMP frameworks: the minimal singlet-doublet fermion model, the singlet-doublet model extended by a two-Higgs-doublet plus pseudoscalar sector, the 2HDM+a model, and a dark SU(3) gauge model. For each framework, the authors perform parameter scans, impose relic-density, vacuum-stability, unitarity, invisible-width, electroweak precision, and flavor constraints, and compare the resulting SI cross sections with current LZ limits, projected XLZD sensitivity, and the neutrino floor. They find parameter regions that evade current limits and, in some cases, lie below the neutrino floor, and they argue that loop-induced contributions are important near tree-level blind spots. The paper's central message is that thermally produced WIMPs in models with rich scalar/electroweak sectors remain phenomenologically motivated targets for next-generation direct detection.","tokens_in":19021,"tokens_out":7595,"duration_ms":75847,"significance":"If the results hold, the paper provides useful benchmark scenarios populating the gap between current direct-detection limits and the neutrino floor, and it cleanly contrasts three mechanisms of suppression: accidental tree-level blind spots, pseudoscalar-mediated loop-generated scattering, and an exact cancellation in a non-Abelian dark sector. Strengths include the explicit analytic tree-level couplings, the use of established one-loop results, the systematic treatment of multiple Yukawa structures, and the inclusion of standard phenomenological constraints in the scans. However, two load-bearing points need attention: the singlet-doublet+2HDM analysis draws quantitative conclusions from an explicitly incomplete one-loop computation, and the dark SU(3) 'exact cancellation' appears to fail as printed because of a sign inconsistency. These issues do not invalidate the qualitative theme, but they affect the quantitative benchmark claims.","major_comments":[{"comment":"The singlet-doublet+2HDM analysis presents Eq. (14) as the radiatively corrected SI cross section, but the text immediately after Eq. (14) states that 'complete computation of extended Higgs sector loop contributions remains for future work' and that the numerical implementation includes only gauge-boson-mediated terms analogous to the minimal model. Figures 2 and 3 and the following paragraph nonetheless draw the quantitative conclusion that 'a sizable portion lies well inside the neutrino floor.' The omitted charged-Higgs, pseudoscalar, and extended-Higgs triangle/box contributions are precisely the terms that can become largest when the tree-level h/H couplings are tuned near their blind-spot zeros. The quantitative benchmark cross sections for this framework are therefore not established by the calculation shown. The authors should either complete the one-loop computation of Eq. (14) or, failing that, explicitly label the scan results as indicative and remove the quantitative claim of viable below-neutrino-floor regions for the singlet-doublet+2HDM model.","section":"Section II, Eq. (14) and Figs. 2-3"},{"comment":"As printed, the claimed exact cancellation for the CP-odd scalar component Ψ does not hold. Substituting gψψH_i = (g̃ δ_i m_H_i^2)/(2 m_V^2) with δ_1 = sinθ and δ_2 = cosθ into the expression for σSI_ψp gives (g̃/(2 m_V^2))(sinθ cosθ + cosθ sinθ) = g̃ sinθ cosθ / m_V^2, which is nonzero for generic sinθ. The cancellation would require δ_1 = -sinθ, consistent with the combination (-sinθ H_1 + cosθ H_2) in Eq. (26). Either Eq. (28) or the definition of δ_i contains a sign error. Because the invisibility of the scalar component is the basis for interpreting the scalar/vector scan as depending only on the vector component, this sign must be corrected and the consequences for the scan rechecked; if the sign in Eq. (28) is instead correct, then the scalar component contributes to direct detection and the conclusions of Section IV change.","section":"Section IV, Eqs. (28)-(29)"}],"minor_comments":[{"comment":"The phrase 'in some cases, but now always, below the neutrino floor' appears to contain a typo; it should read 'but not always'.","section":"Abstract"},{"comment":"The notation χ0_1p is inherited from the singlet-doublet sections, but the 2HDM+a dark matter candidate is the Dirac fermion χ defined in Eq. (22); the cross-section formula and surrounding text should use χp for consistency.","section":"Section III, Eq. (23)"},{"comment":"Several expressions appear to have argument or subscript errors that make verification difficult: for example, G(m_χ^2, 0, M_A^2) - G(m_χ^2, M_A^2, 0) and the X001 arguments mix p^2 and m_χ^2, and 'M2a' should presumably be m_a^2. The authors should proofread these formulas against Ref. [47].","section":"Appendix B, Eq. (B3)"},{"comment":"The sentence introducing the loop functions is grammatically incomplete: 'for which we refer. together with the expressions of the V0,±q , A0,±q , to [21]' should be rewritten as a proper reference sentence.","section":"Section II, Eq. (10)"},{"comment":"The text reads 'Loop-induced SI scattering remains operative due to nonzero λhaa and λHaa even as sinθ→0'; 'even' should be 'as'. Similar wording issues appear elsewhere in Section III (e.g., 'compared, as customary with the current (projected) limits').","section":"Section III, after Eq. (25)"},{"comment":"The paper does not state whether the scan code or benchmark data will be made publicly available. Given that the paper's deliverable is a set of benchmark regions and cross sections, a public implementation or data release would materially improve reproducibility.","section":"General"}],"recommendation":"major_revision","confidential_remarks":"The qualitative thesis is plausible and the paper fills a useful niche, but two load-bearing issues need resolution: the incomplete one-loop treatment in the singlet-doublet+2HDM section and the sign inconsistency in the dark SU(3) cancellation. Both appear fixable within the scope of a revision, so major revision rather than rejection is appropriate."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Short version: this is a solid, mostly unglamorous scan paper. The authors take three established WIMP frameworks—minimal singlet-doublet, singlet-doublet plus 2HDM/pseudoscalar, and dark SU(3)—and map where thermal relic density is consistent with direct detection blind spots and loop corrections. The quantitative maps are new; the mechanisms mostly are not. The minimal singlet-doublet loop treatment is the real workhorse and it is done carefully, using known formulas from Ertas-Kahlhoefer and Hisano et al. The 2HDM+a analysis uses the complete one-loop expressions from Abe-Fujiwara-Hisano, and the dark SU(3) section imports a well-established two-component setup. That is legitimate extension work, and the paper gives experimentalists concrete cross-section targets in a region that matters.\n\nThe soft spot is exactly where the stress-test says it is. In the singlet-doublet+2HDM section, Eq. (14) is presented as the loop-corrected cross section, but the text explicitly says the numerical analysis includes only known gauge-boson-mediated terms and that the complete extended-Higgs-sector loop contributions 'remain for future work.' The omitted charged-Higgs and pseudoscalar loop diagrams are precisely the terms that can matter when the tree-level h/H couplings are tuned to their blind-spot zeros. So the plots in Figs. 2-3 for that framework are not yet a reliable quantitative deliverable. The qualitative point—that blind spots exist and can push cross sections down—survives, because it is established from the earlier literature and from the minimal model results, but the specific 'sizable portion inside the neutrino floor' claim for the 2HDM extension is not supported by the calculation shown. The authors are transparent about this, which is to their credit, but it does mean those benchmarks should not be used by experimental collaborations as-is.\n\nMinor issues: no code or data are released, and the novelty relative to the recent Bhattiprolu-Petrosky-Pierce singlet-doublet study is not spelled out in detail. The self-citations are relevant, not inflation. The abstract's typo 'but now always' presumably means 'but not always.'\n\nWho is this for? Phenomenologists and experimentalists working on direct detection program planning. It deserves a serious referee. The main singlet-doublet and 2HDM+a sections are publishable after the incomplete-loop caveat is made prominent; the singlet-doublet+2HDM claims should be either completed, or clearly labeled as estimates pending a full loop computation. I would send it to review.","headline":"Useful benchmark mapping of three known WIMP models, but the singlet-doublet+2HDM section leans on an explicitly incomplete loop calculation, so those sub-neutrino-floor points should be read as provisional.","tokens_in":19546,"tokens_out":2196,"would_cite":true,"duration_ms":21114,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":["95.35.+d","12.60.Fr"],"model":"deepseek-v4-flash","headline":"Thermal WIMPs in three benchmark models can sit below the neutrino floor.","keywords":["WIMP dark matter","direct detection","neutrino floor","blind spots","loop corrections","singlet-doublet model","2HDM+a","dark SU(3) model"],"falsifier":"Compute the complete one-loop spin-independent cross-section for the singlet-doublet plus two-Higgs-doublet framework, including all scalar and pseudoscalar Higgs loop diagrams that the paper leaves for future work. If those omitted terms push a substantial fraction of the claimed sub-threshold points above the current experimental bound or above the neutrino floor, the benchmark regions in that framework would close.","tokens_in":18493,"feed_emoji":"🌌","tokens_out":11507,"duration_ms":106606,"temperature":0.7,"pith_summary":"Standard weakly interacting massive particle (WIMP) dark matter normally links the annihilation rate that set the cosmic relic abundance to the scattering rate seen in terrestrial detectors. The paper argues that in three benchmark models—the singlet-doublet fermion model, its two-Higgs-doublet-plus-pseudoscalar extension, and a dark SU(3) gauge model—this link can be broken at special \"blind spot\" parameter values, so the scattering cross-section drops below current experimental limits and, in some cases, below the neutrino floor. In those regions the thermal relic abundance can still match observations. The upshot is that thermal WIMPs remain meaningful targets for next-generation direct detection even in the gap beyond the neutrino floor.","feed_headline":"Three dark matter models hide below the neutrino floor","feed_subtitle":"Thermal freeze-out still yields viable dark matter in the gap below current limits and the neutrino floor.","key_machinery":"The load-bearing object is the loop-corrected spin-independent dark-matter–nucleon cross-section evaluated at each model's suppression point. In the singlet-doublet model the tree-level Higgs coupling vanishes when $m_{\\chi_1^0}+m_D\\sin 2\\theta=0$, and the included triangle, box, and electroweak-gauge-boson loop diagrams determine how deep the cross-section can actually go. In 2HDM+a the pseudoscalar mediator makes the tree-level SI amplitude vanish in the non-relativistic limit, so the triangle and box diagrams involving $h$ and $H$ carry the signal; the formulas used are those of a pseudoscalar-mediator direct-detection calculation. In the dark SU(3) model the scalar component's coupling to nucleons cancels exactly through a relation enforced by the scalar potential, and only the vector component contributes to direct detection.","core_discovery":"The paper's central claim is that each of the three frameworks contains viable parameter regions in which the predicted dark matter relic abundance matches observations while the spin-independent scattering cross-section lies below current exclusions, and in some of those regions also below the neutrino floor. The suppression mechanisms differ: a tree-level blind spot in the singlet-doublet model, annihilation through a pseudoscalar portal in 2HDM+a that leaves scattering momentum-suppressed at tree level, and an exact cancellation that makes the scalar component of the dark SU(3) model invisible. In the singlet-doublet cases the paper shows that loop corrections set a lower bound on the scattering cross-section, so the minimal reachable value is not zero even at the blind spot. For the singlet-doublet plus 2HDM case the paper notes explicitly that a complete computation of the extended Higgs-sector loop contributions remains for future work.","pith_inferences":["An implication the paper leaves implicit is that benchmark points for future detectors should be quoted with complete one-loop cross-sections, because a tree-level zero can be radiatively filled to a sizeable rate.","A natural extension, not carried out here, is a full one-loop matching of the singlet-doublet plus 2HDM direct-detection cross-section; if the omitted Higgs loops are comparable to the gauge-mediated terms, the claimed sub-threshold regions could shift or close.","For multi-component models like dark SU(3), single-component exclusion curves can overstate the reach of direct searches; the relevant target is each component's scattering cross-section weighted by its relic fraction."],"forward_implications":["If the paper is right, the neutrino floor is not an absolute boundary for thermal WIMPs: blind spots in these models place viable candidates below it.","In the minimal singlet-doublet model, most relic-consistent points remain within reach of next-generation detectors, so a null result there would cut into, but not eliminate, the model's parameter space.","In the singlet-doublet plus 2HDM setup, a sizable portion of viable points falls inside the neutrino floor, since pseudoscalar interactions can set the relic density without contributing much to scattering.","In the 2HDM+a model with strongly suppressed pseudoscalar mixing, viable dark matter masses sit above roughly 100 GeV and most relic-consistent points lie inside the neutrino floor, limiting direct-detection prospects.","In the dark SU(3) model, the scalar dark matter component is invisible to direct detection, and next-generation experiments remain sensitive to the vector component down to a relic fraction of about $10^{-3}$."],"supporting_citations":[{"why":"Defines the singlet-doublet fermion model and gives the tree-level couplings whose zeros define the blind spot.","marker":"[19]"},{"why":"Supplies the CP-even triangle and box loop coefficients used to compute the loop-corrected singlet-doublet cross-section.","marker":"[20]"},{"why":"Provides the electroweak loop functions for fermion dark matter that set the minimal cross-section near the blind spot.","marker":"[21]"},{"why":"Supplies the electroweak and gluon loop corrections for electroweak-interacting dark matter used in the same cross-section.","marker":"[22]"},{"why":"Gives the observed relic density used to rescale under-abundant dark matter candidates.","marker":"[23]"},{"why":"Provides the current direct-detection exclusion curve against which all benchmark points are judged.","marker":"[24]"},{"why":"Defines the xenon neutrino floor used to classify points as below the floor.","marker":"[26]"},{"why":"Defines the dark SU(3) gauge model and its stable vector dark matter component.","marker":"[41]"},{"why":"Establishes the coupled Boltzmann equations and multi-component relic framework used for dark SU(3).","marker":"[42]"},{"why":"Supplies the loop corrections to direct detection in a pseudoscalar mediator model that the 2HDM+a calculation adopts.","marker":"[47]"}],"fun_headline_variants":["Three WIMP models can hide below neutrino floor","Blind spots may push WIMPs under neutrino floor","Loop corrections limit how hidden WIMPs can be","Benchmarks show WIMPs can evade direct detection","WIMP blind spots and loops beat neutrino floor"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The results lean on the assumption that the loop corrections included in the numerical scans—mostly the gauge-boson-mediated terms—are the dominant ones, so that the omitted Higgs-mediated loop diagrams would not move a significant number of the claimed points above current limits or above the neutrino floor.","fun_headline_variants_meta":{"raw":{"variants":["Three WIMP models can hide below neutrino floor","Blind spots may push WIMPs under neutrino floor","Loop corrections limit how hidden WIMPs can be","Benchmarks show WIMPs can evade direct detection","WIMP blind spots and loops beat neutrino floor"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000275,"raw_usage":{"total_tokens":1623,"prompt_tokens":905,"completion_tokens":718,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":521,"completion_tokens_details":{"reasoning_tokens":643}},"tokens_in":521,"tokens_out":718,"duration_ms":7130,"temperature":1.0,"reasoning_tokens":643,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-15T18:37:58.326317+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Compute the complete one-loop spin-independent cross-section for the singlet-doublet plus two-Higgs-doublet framework, including all scalar and pseudoscalar Higgs loop diagrams that the paper leaves for future work. If those omitted terms push a substantial fraction of the claimed sub-threshold points above the current experimental bound or above the neutrino floor, the benchmark regions in that framework would close.","supporting_citations":[{"cited_title":"Singlet-doublet dark matter revisited","cited_arxiv_id":"2505.11607","evidence_quote":"Provides the electroweak loop functions for fermion dark matter that set the minimal cross-section near the blind spot."}],"review_version":2}