{"id":"2eae9459-2a10-49d7-9bec-05d3e15ef5ab","arxiv_id":"2607.20963","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":5.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":5,"one_line_summary":"Future lepton colliders can discover a charged Higgs below about half their energy, while multi-cubic-kilometer neutrino telescopes add complementary reach for heavier charged Higgs masses.","lead":"A physics study estimates how future experiments could discover a charged Higgs boson, a hypothetical cousin of the ordinary Higgs particle. It compares planned lepton colliders with giant neutrino telescopes and finds colliders are generally stronger, while very large neutrino detectors add complementary reach for heavy charged Higgs masses.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Low-energy flavor constraints are not applied; they could exclude the benchmark Yukawa couplings that drive the neutrino-telescope sensitivity in the heavy-mass region, undermining the claimed complementarity.","rationale":"The reader's weakest assumption correctly identifies the most load-bearing concern. The paper's internal rate calculations and Monte Carlo setup are coherent; I found no obvious algebraic error in the cross-section or significance formulas. However, the entire neutrino-telescope discovery potential in the heavy-mass region is driven by large Yukawa couplings to first- and second-generation fermions. Such couplings are strongly constrained by low-energy precision measurements that are not addressed anywhere in the manuscript. If those constraints exclude the benchmark points, then the headline statement about neutrino telescopes being competitive in the heavy-mass region is no longer supported. The collider claim is more robust because pair production is gauge-mediated and the significance is independent of y as long as the decay is prompt; however, the paper's overall comparative claim and the 'model-independent' language extend into the potentially excluded region. The correct response is to require the authors to quantify the low-energy constraints and either show they are satisfied or restrict the sensitivity claims to allowed parameter space. This matches the existing CONDITIONAL verdict rather than moving it: the issue is a missing external check, not a demonstrated internal contradiction. I therefore recommend no change to the reader's verdict.","tokens_in":23932,"tokens_out":8459,"duration_ms":95152,"concrete_test":"Compute tree-level constraints on Models I and II from π→eν, π→μν, K→μν/K→eν, and D_s→τν (and, where relevant, μ→eγ), using the Lagrangian of Eq. (1) and standard formulas for charged-scalar contributions to leptonic meson decays. Overlay the resulting 90/95% C.L. exclusions on the 5σ contours of Fig. 10 and Figs. 15–16. If the required y at m_H± ≳ 200 GeV lies above the exclusion boundary, the claimed neutrino-telescope complementarity is not realized in viable parameter space.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central comparison in Figs. 10, 15, and 16 relies on Models I/II defined by O(0.1–1) Yukawa couplings to e, μ, and first/second-generation quarks (Eqs. 1–5). Yet Sec. III B applies only LEP and LHC τν constraints. For m_H± ≳ 200 GeV, the 5σ neutrino-telescope curves in Fig. 10 require y ≳ 0.3–1, depending on flux and volume. Such couplings are not guaranteed viable: they generate tree-level scalar-exchange contributions to precision observables such as π→eν, K→μν/K→eν, D_s→τν, and potentially μ→eγ at loop level. For example, the H± contribution to leptonic pion decay relative to the SM is O((y^2/g^2)(m_W^2/m_H^2)), which is several percent for y=0.3 and m_H≈200 GeV—well above current experimental precision on these channels. If these constraints exclude the benchmark parameter space, the heavy-mass neutrino-telescope sensitivity curves do not correspond to any viable physics. The collider pair-production claim is less affected because it holds for arbitrarily small y, but the paper's headline claim of neutrino-telescope complementarity in the heavy-mass region is exactly where the excluded couplings are needed. This is a load-bearing external-validation gap, not an internal calculation error.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The paper studies the discovery potential of a charged Higgs boson in two simplified benchmark models (Models I and II) with a universal Yukawa coupling y, using two very different experimental settings: future neutrino telescopes (IceCube-Gen2, HUNT-like volumes) via resonant scattering of ultra-high-energy electron antineutrinos off electrons in the detector, and future lepton colliders (CEPC/FCC-ee) via charged-Higgs pair and associated production. For neutrino telescopes, the authors derive analytic cross sections for s-channel charged-Higgs production, include muon-track and cascade signatures, consider four astrophysical neutrino flux models and volumes from 100 to 5000 km^3, and obtain 3σ/5σ sensitivity contours in the (m_{H^±}, y) plane. For colliders, they perform LO MadGraph/Pythia/Delphes simulations for e+e− → ν̄_l l− + jets and study double-sided and single-sided reconstruction in the pair on-shell, single-resonant, and off-shell regions, including a 1% background systematic uncertainty. They conclude that future lepton colliders generally give better sensitivity over most of the considered parameter space, but that a neutrino telescope with very large volume can provide competitive and complementary sensitivity in the heavy-mass region.","tokens_in":24313,"tokens_out":14015,"duration_ms":156261,"significance":"If the central conclusion is accepted, the paper provides a useful quantitative comparison of two proposed discovery machines for charged scalars, with a transparent analytic treatment of the neutrino-telescope signal and a dedicated collider analysis. It goes beyond earlier IceCube charge-Higgs studies by combining track and cascade channels, scanning detector volume and flux models, and explicitly comparing with Higgs-factory projections. The analytic event-rate framework and the use of public generators for the collider part are strengths. The pair-production collider sensitivity is robust to the value of y as long as the scalar decays promptly in the detector, which is a clean and largely model-independent statement within the assumed fermionic-decay benchmark. However, the absolute neutrino-telescope sensitivities and the final comparison rest on two fragile assumptions: the benchmark models' viability under low-energy flavor constraints, and the omission of Earth attenuation, detector acceptance, and energy resolution. These issues must be addressed before the complementarity claim is established.","major_comments":[{"comment":"The benchmark Models I and II assign O(0.1-1) Yukawa couplings to electrons, muons, and first/second generation quarks. The paper applies only LEP and LHC τν constraints (Sec. III B). It does not apply low-energy flavor constraints, which are known to be severe for tree-level charged-scalar exchange. For example, a rough tree-level estimate for π→eν gives a deviation relative to the SM of order y^2 (v/m_H±)^2 m_π^2/(m_u+m_d); for y=0.3 and m_H±=200 GeV this is tens of percent, far above the measured precision. The 5σ neutrino-telescope curves in Fig. 10 require y>~0.3 for m_H±>~250 GeV. If such couplings are excluded by π/K/D decay data, the claimed heavy-mass complementarity corresponds to unphysical parameter space. This is a load-bearing external-validation gap: the authors should add the relevant low-energy constraints (or a conservative recasting) and show how much of the plotted re","section":"Sec. II A (Eqs. (4)-(5)), Figs. 9-10 and 15-16"},{"comment":"The telescope sensitivity calculation assumes full-sky 4π acceptance, no Earth attenuation, and perfect detection efficiency and energy resolution. At the resonance energies relevant here (E_res ~ m_H±^2/(2m_e), e.g., ~50-120 PeV for m_H± ~250-350 GeV), Earth attenuation of upgoing neutrinos is not negligible; a 4π angular integral substantially overestimates the effective exposure. Since the 5σ thresholds in Fig. 10 are steep functions of y, a factor of a few in event rate can shift the inferred y sensitivity by a sizable amount, and the eventual collider-vs-telescope comparison in Figs. 15-16 is not demonstrated to be robust. A minimal bracketing (e.g., down-going-only or attenuation-corrected estimates) should be added.","section":"Sec. II C (Eq. (16)), Figs. 9-10"}],"minor_comments":[{"comment":"The text states that a decay-length cutoff of ~1 m is imposed, but Fig. 13 and Fig. 14 show flat cross sections and significances down to y=10^-6. For m_H±=100 GeV and y=10^-6, the decay length is O(20 m), so the acceptance would be strongly suppressed if the cutoff were applied. Please clarify whether the plotted points include the decay-length criterion or whether it is meant only to define the edge of the sensitivity region.","section":"Fig. 13 and Sec. III A"},{"comment":"The t-channel contribution is stated to be negligible near the s-channel resonance, and is then neglected throughout the analysis. For completeness, please state whether the t-channel was also checked at energies far below/above the resonance, since the flux-weighted event rate receives contributions from a broad energy range.","section":"Fig. 2 and Sec. II A 1"},{"comment":"The phrase 'model-independent' for the collider claim should be qualified: the analysis assumes the charged Higgs decays only through the fermionic channels of Eqs. (4)-(5). If bosonic decays (e.g., H±→W±h) open up, the signal final state changes and the quoted 5σ reach does not directly apply.","section":"Sec. III C and Figs. 15-16"},{"comment":"Several bibliographic entries lack volume/page/year information (e.g., Refs. [17], [24], [25], [32], [35], [40]). Please bring the reference list to journal style.","section":"References"}],"recommendation":"major_revision","confidential_remarks":"The paper has a useful central idea and a transparent treatment, but the unaddressed low-energy flavor constraints are a serious risk to the main conclusion. If the benchmarks are indeed excluded in the heavy-mass region, the neutrino-telescope complementarity claim collapses; however, the collider pair-production analysis has independent value and could survive a revised version. I recommend major revision with a request for a dedicated flavor-constraint section and a more realistic telescope exposure estimate, rather than outright rejection."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Quick take: this is a competent, useful projection paper, but the central comparison is built on benchmark Yukawa couplings that are almost certainly ruled out by low-energy observables. The collider half is on much firmer ground.\n\nWhat's new: a systematic scan over detector volumes (100–5000 km³), both track and cascade channels, four flux models with a semi-analytic tau-decay treatment, and a careful comparison of double- vs single-sided reconstruction at CEPC/FCC-ee. The event-rate formulas are standard, and the collider pair-production analysis sensibly notes that in the on-shell region the rate is independent of the Yukawa coupling provided the decay is prompt. That piece is a useful contribution to experimental planning.\n\nThe soft spot is load-bearing. The neutrino-telescope sensitivity in the heavy-mass region requires y ~ 0.3–1 for m_H ~ 200–350 GeV (Fig. 10). The benchmark Lagrangians (Eqs. 4–5) give y to electrons, muons, and first/second-generation quarks. The paper only applies LEP m_H ≥ 80 GeV and LHC tau-nu constraints (Sec. III B), neither of which touches these models. But y ~ 0.3 at m_H ~ 200 GeV gives tree-level contributions to muon decay at roughly 20% of the SM amplitude (y²/m_H² vs G_F), to say nothing of π→eν, K→μν, and μ→eγ. Those couplings are not viable. The stress-test note's concern about meson decays is correct; muon lifetime makes it worse. This is not an internal calculation error, but it means the telescope sensitivity contours in Figs. 10, 15, and 16 and the claimed complementarity in the heavy-mass region do not correspond to any experimentally allowed charged Higgs. The collider curves survive because they hold for arbitrarily small y.\n\nMinor caveats: full-sky acceptance, no Earth attenuation, unit efficiency, and using a projected flux as input all make the absolute telescope sensitivities optimistic. The authors are transparent about these choices, but a planning document should state they are upper limits.\n\nBottom line: the paper deserves a serious referee. The collider analysis is worth publishing, and the telescope framework is a reasonable starting point once the benchmarks are replaced with viable ones—or the constraints are applied. As is, the headline complementarity claim should not be taken at face value.","headline":"Solid phenomenological comparison, but the neutrino-telescope sensitivity curves sit in parameter space that low-energy data almost certainly exclude, so the complementarity claim is not supported as it stands.","tokens_in":24773,"tokens_out":4220,"would_cite":false,"duration_ms":46503,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"Future lepton colliders can discover charged Higgs bosons with mass below half the collision energy at 5σ regardless of the Yukawa coupling, and very large neutrino telescopes extend the reach to heavier masses.","keywords":["charged Higgs boson","future lepton collider","neutrino telescope","resonant neutrino scattering","Yukawa coupling","discovery significance","Higgs factory","astrophysical neutrino flux"],"falsifier":"Show that existing low-energy flavor and rare-decay measurements ($K \\to \\mu\\nu$, $\\pi \\to e\\nu$, $\\mu \\to e\\gamma$) exclude the benchmark Yukawa couplings for $m_{H^\\pm}$ between 80 and 350 GeV; if so, the parameter space on which both the collider and neutrino-telescope discovery projections are drawn does not exist.","tokens_in":23801,"feed_emoji":"⚛️","tokens_out":8540,"duration_ms":67227,"temperature":0.7,"texified_at":"2026-08-05T21:38:14.143508+00:00","pith_summary":"This paper argues that the charged Higgs boson, a generic signature of an extended scalar sector, can be discovered with certainty in two complementary ways. At a future lepton collider, or Higgs factory, pair production through gauge interactions guarantees a $5\\sigma$ signal for any charged Higgs lighter than half the beam energy, as long as it decays inside the detector, making the discovery essentially independent of the unknown Yukawa couplings. At a neutrino telescope with a detector volume near $10^3$ km$^3$, ultra-high-energy electron antineutrinos can scatter resonantly off electrons to produce muon-track and cascade events, providing sensitivity in the heavy-mass region where the collider loses reach. The paper compares the two approaches across the parameter space and concludes that colliders generally offer better sensitivity, while very large neutrino telescopes are competitive and complementary for heavy charged Higgs masses.","texify_model":"deepseek-v4-flash","texify_usage":{"total_tokens":10846,"prompt_tokens":757,"completion_tokens":10089,"prompt_tokens_details":{"cached_tokens":0},"prompt_cache_hit_tokens":0,"prompt_cache_miss_tokens":757,"completion_tokens_details":{"reasoning_tokens":9358}},"feed_headline":"5σ charged Higgs discovery guaranteed below half the beam energy","feed_subtitle":"Neutrino telescopes with cubic-kilometre volumes extend the search to heavy charged Higgs masses.","key_machinery":"The resonant s-channel process $\\bar{\\nu}_e + e^- \\to H^- \\to f\\bar{f}'$ at neutrino telescopes, with the resonance energy set by $E_{\\rm res} = m_{H^\\pm}^2/(2m_e)$; the peak cross section is independent of the Yukawa coupling because the width in the numerator and denominator cancel. This is complemented at colliders by the gauge-interaction pair-production $e^+ e^- \\to H^+ H^-$ via $\\gamma/Z$, reconstructed with the double-sided invariant-mass technique ($m_{jj}$ and $m_{\\bar{\\nu} l}$), which makes the signal rate insensitive to the Yukawa couplings and yields a guaranteed $5\\sigma$ significance in the pair on-shell region.","core_discovery":"The central claim is that the charged Higgs boson can be searched for with high sensitivity at both future lepton colliders and future neutrino telescopes through two largely model-independent mechanisms. At a lepton collider with center-of-mass energy $\\sqrt{s}$, charged Higgs pairs are produced via the gauge coupling $\\gamma/Z$, so the production rate does not depend on the unknown Yukawa couplings; using double-sided reconstruction on the two decay chains (dijet and lepton-plus-missing-energy), the paper finds a statistical significance above $5\\sigma$ for all masses below $\\sqrt{s}/2$, provided the charged Higgs decays inside the detector. At a neutrino telescope, an incident ultra-high-energy electron antineutrino c","pith_inferences":["The benchmark models assign O(0.1–1) Yukawa couplings to electrons, muons, and first/second-generation quarks; the paper applies only LEP and LHC τν bounds, but low-energy flavor and rare-decay measurements (such as K→μν, π→eν, and μ→eγ) could independently exclude exactly this parameter space, which would invalidate the projected discovery curves for those benchmarks.","The 'guaranteed 5σ' at the collider is essentially an existence proof for a discovery channel, not a measurement of the charged Higgs properties; follow-up studies would be needed to extract the mass and couplings from the reconstructed invariant masses.","The resonant scattering mechanism is not specific to the charged Higgs: the same s-channel technique could be applied to other new-physics resonances coupling to electron–antineutrino pairs, so the paper's sensitivity projections provide a template for a broader class of searches at large-volume neutrino telescopes.","A combined analysis that includes the telescope's flux-model uncertainties and the collider's systematic uncertainties would likely strengthen the complementarity claim, since the two approaches are statistically independent (track vs. collider events)."],"forward_implications":["A future e+e- collider running at √s = 250–350 GeV can establish a 5σ charged Higgs discovery for any mass below roughly half the beam energy, independent of the Yukawa coupling, as long as the charged Higgs decays within roughly a meter of the interaction point.","A neutrino telescope with ~1000 km^3 effective volume and 10 years of exposure can reach comparable sensitivity for charged Higgs masses near and above 300 GeV, especially in models where the charged Higgs couples to first-generation fermions.","The muon-track channel at neutrino telescopes is the more powerful of the two event topologies, because the flat muon-energy spectrum creates a characteristic shoulder over the Standard Model background; the cascade channel is weaker but adds independent sensitivity.","The astrophysical neutrino flux uncertainty shifts the telescope reach noticeably, with the conservative cosmogenic flux giving better sensitivity for heavier masses because of the flux crossing around 50 PeV.","The collider and telescope strategies are complementary rather than redundant: the collider covers the light-mass region with high significance, while the telescope extends the probe to masses inaccessible to pair production."],"fun_headline_variants":["5σ charged Higgs signal for all masses below half beam energy","Charged Higgs: colliders cover light, neutrino scopes heavy","Future lepton colliders reach 5σ charged Higgs below half beam","Cubic-kilometre neutrino telescopes extend charged Higgs search to heavy masses"],"cache_read_input_tokens":2304,"weakest_assumption_plain":"The benchmark models are assumed to be experimentally viable even though they assign $O(0.1\\text{--}1)$ Yukawa couplings to electrons, muons, and first/second-generation quarks; the paper checks only LEP and LHC $\\tau\\nu$ bounds, not low-energy flavor/rare-decay constraints such as $K \\to \\mu\\nu$, $\\pi \\to e\\nu$, and $\\mu \\to e\\gamma$ that could exclude the very parameter space probed.","fun_headline_variants_meta":{"raw":{"variants":["5σ charged Higgs signal for all masses below half beam energy","Charged Higgs: colliders cover light, neutrino scopes heavy","Future lepton colliders reach 5σ charged Higgs below half beam","Cubic-kilometre neutrino telescopes extend charged Higgs search to heavy masses"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.001057,"raw_usage":{"total_tokens":4241,"prompt_tokens":678,"completion_tokens":3563,"prompt_tokens_details":{"cached_tokens":256},"prompt_cache_hit_tokens":256,"prompt_cache_miss_tokens":422,"completion_tokens_details":{"reasoning_tokens":3495}},"tokens_in":422,"tokens_out":3563,"duration_ms":21511,"temperature":1.0,"reasoning_tokens":3495,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-01T08:52:57.673925+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Show that existing low-energy flavor and rare-decay measurements ($K \\to \\mu\\nu$, $\\pi \\to e\\nu$, $\\mu \\to e\\gamma$) exclude the benchmark Yukawa couplings for $m_{H^\\pm}$ between 80 and 350 GeV; if so, the parameter space on which both the collider and neutrino-telescope discovery projections are drawn does not exist.","supporting_citations":[],"review_version":1}