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arxiv: 2606.12312 · v1 · pith:RFKGCMAYnew · submitted 2026-06-10 · ✦ hep-ph

Sensitivity to top-quark couplings in diboson production at lepton colliders

Eugenia Celada , V\'ictor Miralles , Eleni Vryonidou This is my paper

Pith reviewed 2026-06-27 08:59 UTC · model grok-4.3

classification ✦ hep-ph
keywords SMEFTtop-quark operatorsWW productionNLO electroweak correctionslepton collidersdiboson productioneffective field theory
0
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The pith

NLO electroweak corrections to WW production give competitive sensitivity to top-quark operators at future lepton colliders.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper computes next-to-leading-order electroweak corrections to electron-positron annihilation into W pairs that arise from dimension-six two-fermion operators involving the top quark. These corrections are evaluated for centre-of-mass energies below the top-pair threshold at the proposed LEP3 and FCC-ee machines. The resulting indirect constraints are compared directly with those obtained from ZH production and with existing limits from LEP and LHC data. A reader would care because the calculation shows that virtual effects in the WW channel can reach sensitivities comparable to direct top measurements without producing top quarks.

Core claim

We study the next-to-leading order electroweak corrections to e^+e^- → W^+W^- from dimension-six two-fermion top-quark operators in the Standard Model Effective Field Theory. We compute analytical and numerical results for future electron-positron colliders, focusing on the proposed LEP3 and FCC-ee that will operate at centre-of-mass energies below the t t-bar production threshold. We compare the indirect sensitivity arising from virtual corrections to WW production to that from ZH production, and to the current constraints from LEP and LHC data. We show that NLO corrections can provide competitive sensitivity to these operators.

What carries the argument

The NLO electroweak virtual corrections induced by dimension-six two-fermion top-quark operators in the WW production process.

If this is right

  • Indirect bounds on top operators from WW production at lepton colliders become comparable to those from ZH production once NLO corrections are included.
  • The WW channel supplies an additional handle that can be combined with existing LEP and LHC constraints.
  • Systematic inclusion of these electroweak corrections is required for accurate global SMEFT fits at future lepton colliders.
  • The approach supplies a concrete first step for extending NLO calculations to other diboson final states.

Where Pith is reading between the lines

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

  • Global fits that already include ZH data would shift when the WW NLO contributions are added.
  • The same virtual-correction framework could be applied to ZZ or Z gamma channels to cross-check consistency.
  • Running the calculation at higher energies above the tt threshold would test how the sensitivity evolves.
  • If the truncation to dimension six proves insufficient, the claimed competitive reach would shrink.

Load-bearing premise

Higher-dimensional operators and operator mixing can be neglected when extracting sensitivities from the WW channel alone.

What would settle it

A precision measurement of the WW cross section at FCC-ee that lies outside the NLO SMEFT prediction band by more than the projected experimental uncertainty, while remaining consistent with the Standard Model, would disprove the claimed competitive sensitivity.

read the original abstract

We study the next-to-leading order electroweak corrections to $e^+e^- \rightarrow W^+W^-$ from dimension-six two-fermion top-quark operators in the Standard Model Effective Field Theory. We compute analytical and numerical results for future electron-positron colliders, focusing on the proposed LEP3 and FCC-ee that will operate at centre-of-mass energies below the $t \bar{t}$ production threshold. We compare the indirect sensitivity arising from virtual corrections to $WW$ production to that from $ZH$ production, and to the current constraints from LEP and LHC data. We show that NLO corrections can provide competitive sensitivity to these operators. This work represents a first step towards the systematic computation of electroweak corrections to $W$-pair production at lepton colliders in the SMEFT, whose impact can then be properly assessed in global analyses.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 0 minor

Summary. The manuscript calculates next-to-leading-order electroweak corrections induced by dimension-six two-fermion top-quark operators in the SMEFT to the process e⁺e⁻ → W⁺W⁻ at energies below the t t-bar threshold. Analytical and numerical results are presented for the proposed LEP3 and FCC-ee colliders; the resulting indirect sensitivities are compared to those obtained from ZH production and to existing LEP and LHC constraints. The central claim is that these NLO corrections can furnish competitive sensitivity to the operators under study, constituting a first step toward systematic inclusion of such corrections in global SMEFT analyses of W-pair production.

Significance. If the results hold, the work supplies a concrete, process-specific assessment of virtual top-operator effects in a diboson channel that will be measured with high precision at future lepton colliders. By placing the WW sensitivities on the same footing as those from ZH and current data, the calculation strengthens the motivation for incorporating NLO SMEFT corrections into global fits and helps quantify the complementarity of different observables.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive evaluation of the manuscript and for recommending acceptance. There are no major comments requiring a point-by-point response.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper performs an explicit perturbative computation of NLO electroweak corrections induced by dimension-six two-fermion top operators in e+e- → WW. The central results are obtained from direct Feynman-diagram evaluation and numerical integration below the tt threshold; no parameters are fitted to the WW observable itself, no self-referential definitions appear, and the dim-6 truncation is stated as a scoped working assumption rather than derived from the present calculation. The comparison to ZH and existing bounds is external benchmarking, not an internal reduction. This is a standard self-contained SMEFT calculation.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only; no explicit free parameters, axioms, or invented entities extractable. The calculation implicitly relies on standard SMEFT power counting and NLO EW perturbation theory.

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