{"id":"14906343-5e70-40e0-902e-7ab4472d295f","arxiv_id":"2204.04191","paper_version":4,"verdict":"ACCEPT","confidence":"MODERATE","novelty_score":5.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"The CDF W-mass anomaly is reproducible by a universal T-parameter shift of about 10^-3, and tree-level multi-TeV new physics such as a Higgs-only Z' or a zero-hypercharge scalar triplet can supply it compatibly with collider data.","lead":"A global fit of electroweak precision data shows that the CDF W-mass anomaly can be absorbed by a single universal correction to the T parameter, equivalent to a dimension-6 operator suppressed by about 5 TeV. The paper then surveys which tree-level new-physics models (scalar triplets, Z' vectors, little-Higgs constructions) can supply that correction without violating collider bounds.","discovery_kind":"unclear","skeptic_critique":{"model":"selfhosted/deepseek-v4.1-flash","headline":"The central claim — that a universal T̂ ≈ 10^-3 correction can absorb the CDF W-mass anomaly — is a standard EFT existence statement that survives scrutiny; the main soft spot is the CDF-only W-mass input, which the author acknowledges and partially quantifies in eq. (6).","rationale":"The reader's weakest_assumption correctly identifies the CDF-only W-mass input as the main soft spot, but overstates the gap: the author does quantify the tension in eq. (6) ([χ2_CDF only − χ2_no CDF]_{SM+T̂} ≈ 2.22) and argues in Section 2.1 that the weighted average would be dominated by CDF. What is genuinely missing is the alternative fit showing the best-fit T̂ under all MW data. My estimate suggests that fit would still require T̂ > 0 (the combined average is ~7σ above the SM), so the qualitative claim survives; only the specific numerical value is data-dependent. The paper's other approximations — the LHC W,Y bounds of eq. (5), the loop-level estimate of eq. (9), the Z' parametrization of eq. (13) — affect secondary conclusions (which models fit, how strongly custodial-invariant new physics is excluded) rather than the central existence claim. The Z' 'Higgs-only' best fit is anomalous as a gauge theory, but the paper presents it as an EFT parametrization, not a UV-complete model, so this is a caveat rather than a flaw. No code or data tables are shipped, which limits reproducibility but does not undermine the qualitative result. Overall, the central claim is a standard EFT fit that holds up; the verdict ACCEPT is proportionate, and I would not change it.","tokens_in":17076,"tokens_out":10965,"duration_ms":77553,"concrete_test":"Recompute the global fit of Section 2.2 including all W-mass measurements (LEP, D0, ATLAS, CDF) with their stated uncertainties and correlations, and report the best-fit T̂, its uncertainty, and the χ2. If the best-fit T̂ remains positive at more than 3σ, the central existence claim is robust and the CDF-only choice is a quantitative convenience; if T̂ drops to zero within ~1σ, the CDF-only selection is load-bearing and the quoted T̂ ≈ 1.13×10^-3 should be presented as conditional on trusting CDF.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The most load-bearing concern is the data selection flagged by the reader: Section 2.1 includes only the CDF MW measurement and discards the LEP/D0/ATLAS values that disagree with it at ~4σ. The author acknowledges this and argues (Section 2.1) that 'the weighted average would be dominated by CDF thanks to its claimed smaller uncertainty,' and eq. (6) quantifies the residual tension: [χ2_CDF only − χ2_no CDF]_{SM+T̂} ≈ 2.22. However, the paper never presents the alternative fit — the best-fit T̂ and χ2 when all MW measurements are included with their stated uncertainties and correlations. This is the natural robustness check, and it is missing. A back-of-envelope combination of the non-CDF average (≈80.379 ± 0.012 GeV) with CDF (80.433 ± 0.0094 GeV) gives ≈80.41 ± 0.0074 GeV, still ~7σ above the SM prediction of 80.357 GeV, so a positive T̂ is still required; but the best-fit value would be pulled below 1.13×10^-3. Thus the qualitative existence claim ('can be reproduced') survives, while the specific quoted value is data-dependent. This is a real but bounded concern: it does not overturn the central claim, and the author has done more than the reader credits (eq. 6 is a quantification, not a hand-wave).","agreement_with_reader":"partial"},"referee_report":{"model":"selfhosted/deepseek-v4.1-flash","summary":"The manuscript performs a global fit of electroweak precision data including the new CDF W-mass measurement, finding that a universal correction T̂ ≈ (1.13 ± 0.16)×10^-3, corresponding to the dimension-6 operator |H†DμH|² suppressed by about 5 TeV, reproduces the anomaly. It then surveys tree-level sources of a positive T̂ — scalar vacuum expectation values (triplets, quadruplets), Z' vectors (especially a Z' coupled only to the Higgs), little-Higgs models based on SU(5)/SO(5) and SU(6)/Sp(6), and extra-dimensional geometries — and argues that loop-level new physics must lie near the weak scale and therefore generically conflicts with collider bounds unless special kinematics (quasi-degenerate particles decaying invisibly) hide it. The paper is a fit-then-interpret analysis: the T̂ value is extracted from data, and model predictions (v_T ≈ 3 GeV, M_Z'/g_Z' ≈ 8 TeV, f ≈ 9 TeV) are derived consequences.","tokens_in":17446,"tokens_out":8252,"duration_ms":59927,"significance":"The paper is a timely and useful map of which new-physics scenarios can accommodate the CDF W-mass anomaly, written by an author with a long track record in electroweak precision physics. The EFT fit machinery is standard and the model survey is broad, covering scalar VEVs, Z' vectors, little-Higgs models, and extra dimensions in a unified framework. The paper is transparent about its approximations: eq. (5) flags the LHC bounds on W and Y as approximate, eq. (6) quantifies the residual tension from the CDF-only data choice, and Section 5.3 explicitly disclaims that the extra-dimensional example can be claimed to fit the anomaly compatibly with collider bounds. The derived scales (v_T ≈ 3 GeV, M_Z'/g_Z' ≈ 8 TeV, f ≈ 9 TeV) are falsifiable predictions that can be tested by future collider searches. The main strengths are the clear global-fit framework and the systematic classification of tree-level versus loop-level explanations.","major_comments":[{"comment":"The global fit includes only the CDF MW measurement and discards the LEP/D0/ATLAS values that disagree with it at about 4σ. The author acknowledges this choice and quantifies the residual tension in eq. (6) ([χ²_CDF only − χ²_no CDF]_{SM+T̂} ≈ 2.22), but the manuscript never presents the fit with all MW measurements included. Because the quoted T̂ = (1.13 ± 0.16)×10^-3 and every derived scale in the paper (v_T ≈ 3 GeV, M_Z'/g_Z' ≈ 8 TeV, f ≈ 9 TeV) are proportional to T̂, a reader cannot tell how much these numbers would shift. A back-of-envelope combination of the non-CDF average (80.379 ± 0.012 GeV) with CDF (80.433 ± 0.0094 GeV) gives ≈80.41 ± 0.0074 GeV, still well above the SM prediction, so the existence claim survives; but the best-fit T̂ would be pulled below 1.13×10^-3. Please add this cross-check, or at least state the expected shift, so that the specific numbers quoted are not conditional on an unstated data choice.","section":"Section 2.1 and eq. (6)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The LHC bounds on W and Y in eq. (5) are explicitly approximate: the W central value comes from a single CMS analysis, and the Y bound is obtained by recasting an ATLAS Z' search. These bounds are load-bearing for the claim, stated in Section 2.3 and repeated in the conclusions, that W and Y cannot reproduce the anomaly in the custodial-invariant limit (fig. 3a). The 'without LHC' contours in fig. 3a do show the sensitivity, but the text should state explicitly how the conclusion changes if the bounds are varied within their estimated systematic uncertainty, and should justify the recasting procedure for Y in more detail. This is a specific, checkable issue affecting a stated conclusion, not a challenge to the central T̂ fit.","section":"Eq. (5) and Section 2.3","authors_acknowledge":null,"authors_acknowledge_p":null}],"minor_comments":[{"comment":"The sentence 'The key issue is weather some new physics can account for the CDF anomaly' contains a typo: 'weather' should be 'whether'.","section":"Section 2, first paragraph","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The caption reads 'The yellow regions shwow the analogous results'; 'shwow' should be 'show'.","section":"Figure 2 caption","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The word 'altought' appears twice in Section 3 and should be 'although'; the phrase 'New electroweak physics is this mass range' should read 'in this mass range'.","section":"Section 3","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The sentence 'the top mass would need to be about 11 GeV than its measured value' is missing 'higher' before 'than'.","section":"Section 2, first paragraph","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The phrase 'the Higgs bosons is affected by new physics' should read 'the Higgs boson is affected by new physics'.","section":"Section 5, first paragraph","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The phrase 'an heavy Z' vector' should read 'a heavy Z''; the same sentence also has 'The situations is illustrated' in Section 1, which should be 'The situation is illustrated'.","section":"Section 4, first paragraph","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The caption states 'Proportionality constants have sometimes been omitted'; please state explicitly which normalization is used for the charges in the table so that the reader can compare with eq. (13).","section":"Figure 5 caption","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The predicted MW = (80.376 ± 0.025) GeV has an uncertainty larger than CDF's, which is why the fit accommodates the anomaly only at about 2σ. A sentence making this explicit would help the reader understand why the fit is not a perfect match.","section":"Eq. (7) and Section 2.2","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The identification L ≈ LSM − |H†DμH|²/(5 TeV)² follows from T̂ = −c_H and the normalization of O_H, but a one-line derivation would help the reader verify the 5 TeV suppression.","section":"Section 2.2","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The PDG citation is to the 2020 edition; please check that the top-mass and MW values quoted in eq. (4) are the latest available at the time of publication.","section":"Reference [2]","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The author appropriately flags that the extra-dimensional example in eq. (23) cannot be claimed to fit the anomaly compatibly with collider bounds. A sentence stating what the example is meant to illustrate, given this disclaimer, would clarify its role in the paper.","section":"Section 5.3","authors_acknowledge":null,"authors_acknowledge_p":null}],"recommendation":"minor_revision","confidential_remarks":"The manuscript is a timely and well-executed analysis within the journal's scope. The two major comments concern robustness checks (the CDF-only data selection and the approximate LHC bounds on W and Y) rather than errors in the central derivation; both are addressable with modest additions. The paper is transparent about its approximations, and the derived scales are falsifiable. I recommend minor revision."},"author_rebuttal":null,"desk_editor":{"model":"selfhosted/deepseek-v4.1-flash","letter":"Bottom line: the fit itself is a standard exercise and holds up, but the model catalogue is the part worth keeping. Strumia shows that a universal T-hat ≈ (1.13 ± 0.16) × 10^-3, i.e. |H†DμH|^2 at about 5 TeV, absorbs the CDF W-mass anomaly, and then works through which tree-level physics can deliver that correction without running into collider bounds. The Z' scan in fig. 4 is the nicest piece: normalizing Z_H^2 + Z_L^2 + Z_E^2 = 1 turns the charge space into a half-sphere, and the Higgs-only Z' sits at the center as the pure-T-hat point. That is a clean, quotable observation. The little-Higgs refits (figs. 7, 8) are less novel but competently done, and the scalar-VEV list in section 3 is a handy reference table for anyone building a model in the next year. Credit also for the honesty in section 5.3: the author explicitly says the extra-dimensional case cannot be claimed to fit the anomaly compatibly with collider bounds, which is more restraint than that section's competitors usually show. On the soft spots, the stress-test is right that the CDF-only W-mass input is the load-bearing choice, and right that no alternative fit with all M_W values is shown. But the author does quantify the residual tension in eq. (6) (Δχ2 ≈ 2.2), and a quick combination of the non-CDF average with CDF still lands well above the SM prediction, so the existence claim survives while the quoted central value would be pulled down. That is a bounded concern, not a hole. The LHC W,Y bounds in eq. (5) are explicitly approximate, with Y a recast of a dilepton search; they matter for fig. 3 and not for the T-hat claim. The little-Higgs fits lean on the author's own published formalism [37], which is fine. Minor: a few typos ('weather' for 'whether', 'shwow'), and the abstract classifier's 'no limitations found' is simply wrong — the paper states them in 2.1 and 5.3. Who should read it: anyone who needs a reference point for post-CDF electroweak fits, and model builders looking for the allowed Z' charge region. It deserves a referee, mainly to press on the missing all-data fit and to check the little-Higgs algebra.","headline":"A clean, standard EFT fit showing the CDF W-mass anomaly is absorbable by T-hat ≈ 10^-3, plus a genuinely useful catalogue of tree-level models that can supply it.","tokens_in":18011,"tokens_out":1357,"would_cite":true,"duration_ms":9643,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"pith_extraction":{"msc":[],"pacs":["12.60.Cn","14.70.Fm","12.60.-i"],"model":"selfhosted/deepseek-v4.1-flash","headline":"The CDF W-mass anomaly can be absorbed by one electroweak parameter, a positive shift of about $10^{-3}$ in $T$, and the paper maps which new-physics models deliver it.","keywords":["electroweak precision data","W boson mass","CDF anomaly","oblique parameters","Z prime bosons","little Higgs models","dimension-6 operators","extra dimensions"],"falsifier":"A forthcoming CMS measurement of the W-boson mass, or a re-analysis of the CDF systematic uncertainties, that moves the world average back toward $80.379$ GeV would remove the anomaly and with it the need for $hat T approx 10^{-3}$; conversely, an independent confirmation near $80.433$ GeV would leave the operator scale of about 5 TeV as the benchmark to test.","tokens_in":18457,"feed_emoji":"⚛️","tokens_out":2738,"duration_ms":20723,"temperature":0.7,"pith_summary":"The CDF collaboration reported a W-boson mass about 7$-$8 GeV$/10^5$ heavier than the Standard Model prediction, and this paper asks whether any consistent new physics can account for it without contradicting the rest of the precision electroweak data. Fitting all traditional precision observables plus the Higgs and top masses, the author finds the answer is yes: a universal correction to the $T$ parameter of about $(1.13$-$1.2)$$10^{-3}$, equivalent to the dimension-6 operator $|H^dagger D_mu H|^2$ suppressed by roughly 5 TeV, reproduces the anomaly while leaving the rest of the fit acceptable. The paper then sorts candidate models by whether they generate this correction at tree level or at loop level. Tree-level sources can sit at multi-TeV masses and survive LHC bounds; loop-level sources must be near the weak scale and generically clash with collider searches unless their particles are quasi-degenerate and decay invisibly. The practical payoff is a short list of concrete frameworks, hypercharge-zero scalar triplets, Higgs-philic $Z'$ vectors, specific little-Higgs models, and extra-dimensional gauge towers, that could be responsible if the CDF result holds.","feed_headline":"CDF's heavy W boson fits one new-physics knob","feed_subtitle":"A universal shift of about 0.001 in the T parameter reproduces the anomaly, and multi-TeV tree-level models survive collider bounds.","key_machinery":"The machinery is the four-parameter universal fit in $hat S$, $hat T$, $W$, $Y$, defined as coefficients of the SU(2)-invariant dimension-6 operators $O_{WB}$, $O_H = |H^dagger D_mu H|^2$, $O_{WW}$, and $O_{BB}$, with the Standard Model at the origin. The $hat T$ parameter is the one that shifts the ratio of W and Z masses, so a positive $hat T$ makes the W heavier relative to the Z, which is exactly the direction CDF reports. The paper then translates $hat T$ into model space: scalar multiplets with vacuum expectation values (a hypercharge-zero triplet gives $hat T = 2v_T^2/v^2 > 0$ and fits for $v_T approx 3$ GeV), extra $Z'$ vectors (where $hat T propto (Z_E - Z_H + Z_L)^2$ and the best case is a $Z'$ coupled to the Higgs alone), little-Higgs models with two gauged copies of the electroweak group, and flat extra dimensions with boundary-localized vector kinetic terms.","core_discovery":"The central claim is that the CDF W-mass anomaly is reproducible by universal new physics of the oblique kind, dominantly a positive $hat T approx (1.13 pm 0.16) times 10^{-3}$, which corresponds to adding $mathcal{L} = mathcal{L}_{rm SM} - |H^dagger D_mu H|^2/(5~{rm TeV})^2$. Allowing $hat S$ to float as well gives $hat T approx (1.2 pm 0.5) times 10^{-3}$ and $hat S approx (0.5 pm 0.7) times 10^{-3}$ with strong correlation $rho approx 0.94$, so a comparable $hat S$ is permitted but not required. The fit quality is good: the difference in $chi^2$ between including and excluding the CDF measurement drops from about 7.2 in the Standard Model to about 2.2 once $hat T$ is free. The paper also shows that the recently derived LHC constraints on the $W$ and $Y$ parameters, at the $10^{-4}$ level, are too strong for custodial-isospin-preserving new physics to fit the anomaly, which is why the correction must enter through $hat T$ rather than through the transverse parameters.","pith_inferences":["If a future CMS W-mass measurement lands near the older LEP/D0/ATLAS average of about 80.379 GeV, the preferred $hat T$ would return to zero and the entire model survey in this paper becomes a catalogue of constraints rather than of explanations.","The strong $hat T$-$hat S$ correlation means that a modest improvement in the $hat S$ measurement, for example from a future Z-pole run, would sharpen the discrimination between a Higgs-only $Z'$ and the fermion-coupled alternatives more efficiently than improving the W mass itself.","Because the same $|H^dagger D_mu H|^2$ operator feeds energy-enhanced longitudinal gauge-boson scattering, the multi-TeV scale inferred here sets an implicit target for high-energy diboson and vector-boson-fusion measurements, which probe the operator by a different route than the W mass.","The pattern in which tree-level multi-TeV sources survive while loop-level weak-scale sources do not suggests that any confirmed W-mass anomaly would preferentially point to a new symmetry-breaking sector rather than to new weakly coupled matter at the TeV scale."],"forward_implications":["A single number, $hat T approx 10^{-3}$, becomes the target that any explanation of the CDF anomaly must hit, and models that cannot generate it at tree level are disfavored.","A $Z'$ coupled only to the Higgs, with $M_{Z'}/g_{Z'} approx 8$ TeV, is singled out as the cleanest vector explanation, since it corrects $hat T$ and leaves $hat S$, $W$, and $Y$ untouched.","Scalar triplets with zero hypercharge and quadruplets with hypercharge $1/2$ can fit with vacuum expectation values of a few GeV while their masses stay above LHC reach.","Little-Higgs models based on $SU(5)/SO(5)$ and $SU(6)/Sp(6)$ symmetries, previously under pressure from precision data, become viable again for $f approx 9$ TeV with sufficiently strong extra gauge couplings.","Loop-level explanations are pushed to the few-hundred-GeV range and therefore require quasi-degenerate spectra decaying into invisible states, such as an inert Higgs doublet or Higgsino/gaugino systems, to evade collider searches."],"supporting_citations":[{"why":"Supplies the CDF W-mass measurement that defines the anomaly the entire fit is built around.","marker":"[1]"},{"why":"Provides the Particle Data Group values for the Z mass, Higgs mass, top mass, and the earlier W-mass average used as the baseline.","marker":"[2]"},{"why":"Original definition of the $S$ and $T$ oblique parameters, which the paper's $hat S$ and $hat T$ are rescaled versions of.","marker":"[3]"},{"why":"Establishes the four universal dimension-6 operators and the $hat S, hat T, W, Y$ basis used for the global fit.","marker":"[4]"},{"why":"CMS lepton-plus-missing-energy search recast to give the LHC bound $W = (-0.12 pm 0.06) times 10^{-3}$ that rules out the custodial-invariant route.","marker":"[10]"},{"why":"ATLAS dilepton resonance search supplying the $Z'$ mass bounds and the estimate of the $Y$ parameter limit.","marker":"[11]"},{"why":"Provides the general formulas translating $Z'$ charges and mass into the electroweak precision parameters, on which the $Z'$ section rests.","marker":"[35]"},{"why":"Supplies the universal precision-data corrections for little-Higgs models that the $SU(5)/SO(5)$ and $SU(6)/Sp(6)$ fits are computed from.","marker":"[37]"},{"why":"Gives the analytic supersymmetric one-loop contributions to $hat T$ used to argue that loop-level explanations need weak-scale masses.","marker":"[15]"},{"why":"Provides the inert-Higgs-doublet formula for $hat T$ that exemplifies a loop-level fit with invisible, quasi-degenerate states.","marker":"[21]"}],"fun_headline_variants":["CDF W mass anomaly fits a single oblique T parameter","One T-parameter shift explains CDF's heavy W boson","Multi-TeV tree-level models survive the CDF W mass fit","LHC W and Y bounds rule out custodial-preserving fixes","CDF W mass fits universal new physics at multi-TeV scales"],"cache_read_input_tokens":0,"weakest_assumption_plain":"The fit includes only the new CDF W-mass value and sets aside the earlier LEP, D0, and ATLAS measurements, which disagree with it at roughly four standard deviations; if that disagreement reflects an error or fluctuation in the CDF result rather than a real shift, the preferred $hat T$ of $10^{-3}$ is fitting noise.","fun_headline_variants_meta":{"raw":{"variants":["CDF W mass anomaly fits a single oblique T parameter","One T-parameter shift explains CDF's heavy W boson","Multi-TeV tree-level models survive the CDF W mass fit","LHC W and Y bounds rule out custodial-preserving fixes","CDF W mass fits universal new physics at multi-TeV scales"]},"model":"selfhosted/deepseek-v4.1-flash","effort":"low","attempts":1,"cost_usd":0.0,"raw_usage":{"total_tokens":1255,"prompt_tokens":985,"completion_tokens":270,"prompt_tokens_details":null,"completion_tokens_details":{"reasoning_tokens":194}},"tokens_in":985,"tokens_out":270,"duration_ms":1949,"image_pages":[],"temperature":1.0,"reasoning_budget":50,"reasoning_tokens":194,"transport_provider":"selfhosted","cache_read_input_tokens":0,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-10-28T08:10:16.683459+00:00","model_set":{"reader":"selfhosted/deepseek-v4.1-flash"},"falsifier":"A forthcoming CMS measurement of the W-boson mass, or a re-analysis of the CDF systematic uncertainties, that moves the world average back toward $80.379$ GeV would remove the anomaly and with it the need for $hat T approx 10^{-3}$; conversely, an independent confirmation near $80.433$ GeV would leave the operator scale of about 5 TeV as the benchmark to test.","supporting_citations":[{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Supplies the CDF W-mass measurement that defines the anomaly the entire fit is built around."},{"cited_title":"Top mass from 2021 particle listings, pdg.lbl.gov","cited_arxiv_id":null,"evidence_quote":"Provides the Particle Data Group values for the Z mass, Higgs mass, top mass, and the earlier W-mass average used as the baseline."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Original definition of the $S$ and $T$ oblique parameters, which the paper's $hat S$ and $hat T$ are rescaled versions of."},{"cited_title":"Electroweak symmetry breaking after LEP1 and LEP2","cited_arxiv_id":"hep-ph/0405040","evidence_quote":"Establishes the four universal dimension-6 operators and the $hat S, hat T, W, Y$ basis used for the global fit."},{"cited_title":"Search for new physics in the lepton plus missing transverse momentum final state in proton-proton collisions at $\\sqrt{s} =$ 13 TeV","cited_arxiv_id":"2202.06075","evidence_quote":"CMS lepton-plus-missing-energy search recast to give the LHC bound $W = (-0.12 pm 0.06) times 10^{-3}$ that rules out the custodial-invariant route."},{"cited_title":"Search for new high-mass phenomena in the dilepton final state using 36 fb$^{-1}$ of proton-proton collision data at $\\sqrt{s}$ = 13 TeV with the ATLAS detector","cited_arxiv_id":"1707.02424","evidence_quote":"ATLAS dilepton resonance search supplying the $Z'$ mass bounds and the estimate of the $Y$ parameter limit."},{"cited_title":"The Minimal Set of Electroweak Precision Parameters","cited_arxiv_id":"hep-ph/0604111","evidence_quote":"Provides the general formulas translating $Z'$ charges and mass into the electroweak precision parameters, on which the $Z'$ section rests."},{"cited_title":"Little-Higgs corrections to precision data after LEP2","cited_arxiv_id":"hep-ph/0502096","evidence_quote":"Supplies the universal precision-data corrections for little-Higgs models that the $SU(5)/SO(5)$ and $SU(6)/Sp(6)$ fits are computed from."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Gives the analytic supersymmetric one-loop contributions to $hat T$ used to argue that loop-level explanations need weak-scale masses."},{"cited_title":"Improved naturalness with a heavy Higgs boson: An alternative road to CERN LHC physics","cited_arxiv_id":"hep-ph/0603188","evidence_quote":"Provides the inert-Higgs-doublet formula for $hat T$ that exemplifies a loop-level fit with invisible, quasi-degenerate states."}],"review_version":1}