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Combining electroweak precision data with Higgs rates yields a ~10% determination of the total Higgs width without assuming |kappa_V|<1.

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

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T0 review · grok-4.5

2026-07-14 14:58 UTC pith:35RCOEMI

load-bearing objection Solid Gfitter update with a useful ~10% Gamma_H extraction that works only inside the leading-log oblique kappa_V story the authors themselves flag; pure EW and SMEFT pieces stand cleanly on their own.

arxiv 2607.09861 v1 pith:35RCOEMI submitted 2026-07-10 hep-ph hep-ex

The Higgs boson through the lens of electroweak precision data

Yannick Fischer , Johannes Haller , Andreas Hoecker , Roman Kogler , Finn Labe , Klaus M\"onig , Dennis Schwarz , J\"org Stelzer This is my paper
classification hep-ph hep-ex PACS 12.15.Ji12.15.Lk14.80.Bn12.60.Fr
keywords global electroweak fitHiggs total widthkappa frameworkoblique parametersSMEFTWilson coefficientsFCC-ee projectionsinvisible Higgs decays
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.

This paper updates the global electroweak fit with the newest W-mass average, hadron-collider weak-mixing-angle data, and two-loop Standard Model predictions, finding excellent internal consistency and competitive indirect determinations of MW, mt, MH and the effective weak mixing angle. It then combines those precision constraints with ATLAS and CMS Higgs signal-strength measurements inside the kappa framework. Because electroweak data tightly constrain the Higgs coupling to vector bosons through their effect on the oblique parameters, the usual flat direction between couplings and total width is broken. The result is a determination of the total Higgs width at roughly 10 percent relative precision (or better, depending on the coupling assumptions) together with upper limits on invisible-plus-undetected branching fractions that do not rely on direct invisible-decay searches. The same framework yields single-operator SMEFT bounds and projects an order-of-magnitude improvement once FCC-ee data arrive.

Core claim

Within a leading-logarithmic oblique interpretation of a universal rescaling of the HVV coupling, the combination of electroweak precision observables with current Higgs signal strengths determines the total Higgs-boson width to about 10 percent relative precision (Gamma_H,tot = 4.08 +0.43/-0.37 MeV in the effective parametrisation) without imposing |kappa_V|<1, and bounds the sum of invisible and undetected branching fractions at Bi+u < 0.17 (95 percent CL) in the general parametrisation.

What carries the argument

The leading-log map from a universal HVV rescaling kappa_V onto the oblique parameters S and T (with U=0 and a fixed cutoff scale of a few TeV). That map supplies an independent, high-precision handle on kappa_V that breaks the flat direction between Higgs couplings and total width when it is combined with LHC signal strengths.

Load-bearing premise

The entire width and invisible-branching extraction rests on treating a pure rescaling of the Higgs-vector-boson coupling as the only new-physics effect that enters the oblique parameters, evaluated at leading-log accuracy with a fixed cutoff and no extra vertex or loop contributions.

What would settle it

A future global electroweak fit that includes a complete next-to-leading-order SMEFT treatment (or a concrete UV model) of modified HVV couplings and finds that the preferred kappa_V region shifts enough to move the extracted total width outside the present 10-percent band, or a direct off-shell width measurement that disagrees with the electroweak-plus-signal-strength result.

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

If this is right

  • The total Higgs width can already be known at the 10-percent level without waiting for a future Higgs factory or relying on the |kappa_V|<1 assumption.
  • Invisible-plus-undetected branching fractions are bounded at the 10-20 percent level using only electroweak and rate data, independent of direct missing-energy searches.
  • Single-coefficient SMEFT limits reach Lambda ~ 10-15 TeV for tree-level operators that affect gauge-boson propagators or Z couplings.
  • FCC-ee projections improve several indirect electroweak constraints by roughly an order of magnitude and the kappa_H determination by almost a factor of twenty.

Where Pith is reading between the lines

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

  • If the leading-log oblique map remains a good approximation once full NLO SMEFT operators are included, current LHC rate data already give a width precision competitive with early Higgs-factory projections.
  • The same method can be reapplied whenever a new MW or sin2theta_eff combination appears, turning every electroweak update into an automatic improvement of the Higgs-width constraint.
  • Tension between the present width result and a future high-precision off-shell measurement would directly signal that non-oblique or non-universal new physics is present.

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

0 major / 5 minor

Summary. This Gfitter update presents a global electroweak fit that incorporates the May 2026 LHC-Tevatron MW average (80.3625 ± 0.0077 GeV), a new hadron-collider combination of sin^{2} hetaℓ_eff, updated Z-pole inputs, and state-of-the-art two-loop SM predictions. The fit yields χ^{2}_min = 13.8 for 17 dof (p = 0.68) and competitive indirect determinations (MW = 80.3558 ± 0.0061 GeV, sin^{2} hetaℓ_eff = 0.231494 ± 0.000056, mt = 173.6 ± 1.5 GeV, MH = 112^{+19}_{-17} GeV). Oblique parameters remain SM-compatible. Combining the EWPO-derived κ_V constraint (via the leading-log S,T formulae of Eq. (19)) with ATLAS/CMS signal strengths in the κ framework produces a total-width determination Γ_H,tot = 4.08^{+0.43}_{-0.37} MeV (≈10 % relative) in the effective parametrisation and Bi+u < 0.17 (95 % CL) in the general parametrisation, without imposing |κ_V| < 1 or using direct invisible searches. Single-coefficient SMEFT bounds and FCC-ee projections complete the analysis.

Significance. The work is a timely, carefully documented precision update. The pure electroweak fit, SMEFT single-coefficient intervals and FCC-ee projections are standard and valuable. The most distinctive result is the ≈10 % determination of Γ_H,tot (and the Bi+u bound) obtained by letting EWPO break the κ_V–κ_H flat direction inside a clearly stated leading-log oblique interpretation. The authors themselves flag the restricted validity of that mapping in Section 3.6, so the claim is not oversold. The combination of high-quality experimental averages, complete two-loop theory, transparent nuisance treatment and multi-parametrisation Higgs fits makes the paper a useful reference for both SM consistency tests and BSM interpretations.

minor comments (5)
  1. Section 2.1 / Fig. 2: the PDF-correlation assumptions used for the hadron-collider sin^{2} hetaℓ_eff average (25 % Tevatron–LHC, 25 % LHCb–ATLAS/CMS, 50–75 % energy correlations) are reasonable but somewhat arbitrary; a short sensitivity table or a fully uncorrelated alternative would help readers assess robustness.
  2. Section 3.2, Eq. (19): the cutoff eΛ is fixed to 3 TeV (or 1 TeV) by hand. While the mild dependence is shown in Figs. 9–10, a one-sentence remark on how a floating eΛ would affect the width uncertainty would be useful.
  3. Table 3: the numerical weights that combine production modes (e.g. 0.99 κ_g^{2} + 0.01 κ_b^{2}) are taken from Ref. [173]; citing the precise source of each weight in a footnote would improve reproducibility.
  4. Section 4.2: the single-coefficient SMEFT limits are clear, but a brief statement of which operators remain flat even at NLO (the 22 flat directions mentioned) would help non-specialists.
  5. Typographical: “Future Circulare +e− Collider” (Introduction) and a few missing spaces around units (e.g. “4.0 MeV”) should be cleaned.

Circularity Check

1 steps flagged

No load-bearing circularity; standard global fit of external data plus an explicitly caveated leading-log mapping, with only routine self-citation of the Gfitter framework.

specific steps
  1. self citation load bearing [Section 2, paragraph after the introduction of the fit]
    "Details of the statistical procedure are given in our previous publications [18, 19, 24–26]."

    Routine self-citation of the Gfitter analysis framework. It is not load-bearing for the new results (updated inputs, new width extraction, SMEFT bounds, or FCC-ee projections), which stand on external data and independent calculations; therefore only a minor contribution to the score.

full rationale

The derivation chain is self-contained against external benchmarks. Experimental inputs (new MW combination, sin2 hetaℓeff averages, ATLAS/CMS signal strengths, etc.) and higher-order SM predictions (from the literature) are confronted in a standard χ2 fit; indirect determinations are obtained by removing the corresponding measurement (Table 2, fifth column). The ~10% ΓH,tot claim arises by treating κH2 as free while using the independent EWPO-derived κV constraint (via the leading-log S,T formulas of Eq. (19) with fixed eΛ) together with the measured signal strengths; this is not a fit of a parameter that is then re-presented as a prediction of itself. Section 3.6 explicitly restricts the interpretation to the oblique leading-log scenario. Self-citations ([18,19,24–26]) supply only the Gfitter statistical machinery and prior baseline numbers; they do not supply uniqueness theorems, ansätze, or the new numerical results. SMEFT single-coefficient bounds and FCC-ee projections likewise rest on external calculations and projected inputs. No step reduces by construction to its own inputs.

Axiom & Free-Parameter Ledger

3 free parameters · 3 axioms · 0 invented entities

The central width and Bi+u claims rest on a short list of free parameters (chiefly the cutoff scale) and domain assumptions about the form of new-physics corrections; no new particles or forces are invented. The pure SM electroweak fit itself uses only standard inputs and nuisance parameters for missing higher orders.

free parameters (3)
  • eLambda (cutoff scale in leading-log S,T formulae) = 3 TeV (default), 1 TeV (variant)
    Hand-chosen default 3 TeV (NDA estimate) with a 1 TeV variant; directly controls the numerical size of the kappa_V constraint and therefore the extracted Gamma_H and Bi+u.
  • PDF correlation fractions for hadron-collider sin2theta average = 25-75% (assumed)
    Assumed 25%/50%/75% correlations among Tevatron/LHC and Run-1/Run-2 measurements; varied by +/-25% and absorbed into the total uncertainty.
  • Theoretical nuisance parameters (delta_th MW, sin2theta, partial widths, alpha_s^4 terms) = e.g. 4 MeV on MW, 4.3e-5 on sin2theta_l
    Gaussian nuisances for missing higher-order corrections (Table 1); profiled in the fit.
axioms (3)
  • domain assumption Deviations of the HVV coupling from the SM value affect only the oblique parameters S and T at leading-logarithmic accuracy, with U=0 and no additional vertex or non-oblique loop contributions.
    Stated in Section 3.2 Eq. (19) and caveated in Section 3.6; load-bearing for the Gamma_H and Bi+u claims.
  • domain assumption The Standard Model is the correct low-energy theory up to the cutoff; dimension-six SMEFT operators are treated linearly and one-at-a-time.
    Standard EFT premise used throughout Sections 2 and 4.
  • domain assumption Lepton universality and the on-shell renormalisation scheme with the usual set of free SM parameters (MH, MZ, mt, mc, mb, Delta alpha_had, alpha_s).
    Explicitly assumed for all Z-pole and W observables (Section 2.1).

pith-pipeline@v1.1.0-grok45 · 40725 in / 2807 out tokens · 30632 ms · 2026-07-14T14:58:36.940366+00:00 · methodology

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read the original abstract

The global electroweak fit tests the quantum structure of the Standard Model by confronting precision measurements with high-order theoretical predictions. This paper presents an updated Gfitter analysis using the latest experimental inputs, notably the new world average of the $W$-boson mass, and state-of-the-art theoretical calculations. The fit yields indirect determinations of precision observables, including the $W$ and Higgs-boson masses, the top-quark mass, and the effective leptonic weak mixing angle, confirming the remarkable internal consistency of the Standard Model. The analysis is further extended to the Higgs sector by combining ATLAS and CMS signal-strength measurements with electroweak precision data in the $\kappa$ framework. The resulting electroweak constraints on the Higgs couplings to vector bosons allow a determination of the total Higgs-boson width with a precision of about 10\% or better within a leading-logarithmic oblique interpretation, and provide bounds on invisible and undetected Higgs-boson branching fractions without using direct searches for invisible Higgs decays. The paper also presents bounds on Wilson coefficients in the Standard Model Effective Field Theory together with projections for the precision of the global electroweak fit achievable at the FCC-ee.

discussion (0)

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