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arxiv: 2512.18391 · v2 · submitted 2025-12-20 · ✦ hep-ph · hep-ex

Recognition: 2 theorem links

· Lean Theorem

Complete NLO corrections to off-shell boldsymbol{tbar{t}} production in the boldsymbol{ell+j} decay channel

Leon Mans , Daniel Stremmer , Malgorzata Worek
Authors on Pith no claims yet

Pith reviewed 2026-05-16 20:39 UTC · model grok-4.3

classification ✦ hep-ph hep-ex
keywords off-shell top pair productionNLO QCD correctionsNLO electroweak correctionslepton plus jets channelfinite width effectsinterference contributionsLHC phenomenologyfiducial cross sections
0
0 comments X

The pith

Complete NLO QCD and electroweak corrections are calculated for off-shell top-quark pair production in the lepton-plus-jets channel, keeping finite widths and all resonant and non-resonant diagrams.

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

The paper computes the full next-to-leading-order corrections in both QCD and electroweak theory to the process pp to lepton, neutrino, two b-jets and two light jets, treating the top quarks and W bosons as unstable particles with their proper finite widths. All doubly resonant, singly resonant and non-resonant diagrams are retained together with their interference terms, and every partonic initial state is included. A sympathetic reader cares because these corrections determine the size of higher-order effects that must be controlled when extracting top-quark properties or searching for new physics from LHC data at 13.6 TeV. The work also compares results with and without a cut that forces the light jets to reconstruct near the W mass, showing how that choice trades background suppression against sensitivity to off-shell physics.

Core claim

The central claim is that the complete NLO QCD and NLO EW corrections to the off-shell ttbar process in the ℓ+j decay channel can be obtained by starting from all Born-level contributions between O(α_s^4 α^2) and O(α_s^0 α^6), adding the corresponding one-loop and real-emission pieces while preserving finite-width effects for tops and gauge bosons, and regulating infrared divergences through parton-to-photon fragmentation functions and photon-to-jet conversion functions that allow democratic clustering of photons and partons.

What carries the argument

The consistent inclusion of finite-width effects for the top quarks and massive gauge bosons together with all interference terms between resonant and non-resonant diagrams, made infrared-safe by parton-to-photon fragmentation and photon-to-jet conversion functions.

If this is right

  • The NLO corrections change both the integrated fiducial cross section and the shapes of key differential distributions at 13.6 TeV.
  • Electroweak Sudakov logarithms and non-resonant QCD backgrounds produce measurable effects once all diagrams are retained.
  • Applying the |M_jj - m_W| < 20 GeV cut suppresses QCD backgrounds but also reduces the visible size of off-shell and interference contributions.
  • The two analysis strategies demonstrate how resonance cuts interact with complete NLO corrections and finite-width effects.

Where Pith is reading between the lines

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

  • Extending the same framework to the dilepton or fully hadronic channels would allow a unified treatment of all ttbar decay modes at NLO.
  • The results could be used to re-evaluate the theoretical uncertainty assigned to top-mass extractions that rely on kinematic reconstructions near the resonance peaks.
  • In regions far from the top and W resonances the non-resonant pieces become comparable to the resonant ones, suggesting that off-shell modeling is essential for high-p_T or high-mass searches.

Load-bearing premise

The chosen parton-to-photon fragmentation function and photon-to-jet conversion function render the calculation infrared-safe for every photon and jet configuration that can appear.

What would settle it

A measurement of the shape of the dijet invariant-mass distribution near the W resonance, or of the high-p_T tail of the lepton or jet spectra, at the 13.6 TeV LHC with percent-level precision would directly test whether the computed NLO corrections including off-shell and interference pieces match data.

read the original abstract

We present the calculation of the complete NLO corrections to the off-shell top-quark pair production in the $\ell+j$ decay channel, denoted as $pp \to \ell^- \bar{\nu}_l\, j_b j_b \,jj + X$, where $\ell^- = e^-,\, \mu^-$. The calculation consistently preserves the finite-width effects of the top quarks and massive gauge bosons, as well as takes into account all doubly-, singly-, and non-resonant contributions along with their interference effects. All Born-level contributions, at the perturbative orders from ${\cal O}(\alpha_s^4\alpha^2)$ to ${\cal O}(\alpha_s^0\alpha^6)$, are included and corrected by both NLO QCD and NLO EW effects. Furthermore, all possible partonic initial states are taken into account. Particular attention is paid to the infrared safety in the presence of photons and jets. This requires the use of the so-called parton-to-photon fragmentation function and the photon-to-jet conversion function, which makes the democratic photon-parton clustering and the $\gamma \to q\bar{q}$ splittings finite. We present our findings at the integrated and differential fiducial cross-section levels for the LHC Run III centre-of-mass energy of $\sqrt{s}= 13.6$ TeV. In addition, we quantify the impact of subleading NLO effects, in particular, electroweak Sudakov logarithms and non-resonant QCD backgrounds. Two analysis strategies are employed and compared, namely with and without the resonance-enhancing requirement on the invariant mass of the two light jets, $|M_{jj}-m_W|<{\cal Q}_{\text{cut}} = 20$ GeV, illustrating the relationship between QCD background suppression, off-shell effects, interferences, and complete NLO corrections.

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 / 3 minor

Summary. The manuscript computes the complete NLO QCD and electroweak corrections to off-shell top-quark pair production in the lepton-plus-jets channel (pp → ℓ⁻ ν̄ℓ jb jb jj + X) at √s = 13.6 TeV. It retains finite-width effects for the top quarks and W/Z bosons, includes all doubly-, singly-, and non-resonant diagrams together with their interferences, accounts for every partonic initial state from O(α_s⁴ α²) to O(α_s⁰ α⁶) at Born level, and ensures infrared safety through parton-to-photon fragmentation functions and photon-to-jet conversion functions. Numerical results are presented for fiducial integrated and differential cross sections, with explicit quantification of subleading effects (EW Sudakov logarithms, non-resonant QCD backgrounds) and a comparison of two analysis strategies that differ by the presence or absence of the |M_jj − m_W| < 20 GeV resonance cut.

Significance. If the numerical implementation is correct, the calculation supplies a high-precision benchmark for LHC Run-III tt̄ analyses in the ℓ+j final state. The consistent treatment of finite widths, all interference terms, and both QCD and EW corrections at NLO, together with the explicit IR-safety prescription for photons and jets, addresses a long-standing gap in the literature. The two-strategy comparison directly illustrates the trade-off between background suppression and the size of off-shell and interference contributions, which is of immediate relevance to experimental measurements of the tt̄ cross section and top-mass extraction.

minor comments (3)
  1. [Results / IR-safety discussion] The abstract states that 'particular attention is paid to the infrared safety in the presence of photons and jets' via the parton-to-photon fragmentation function and photon-to-jet conversion function. The manuscript should explicitly tabulate the numerical parameters adopted for these functions (e.g., the fragmentation scale, the photon-to-jet conversion threshold) and demonstrate their numerical stability under variation, preferably in a dedicated subsection of the results section.
  2. [Analysis strategies] The value Q_cut = 20 GeV is introduced without a dedicated justification or sensitivity study. A brief paragraph or small table showing the dependence of the NLO corrections on Q_cut in the range 10–30 GeV would strengthen the claim that the resonance-enhancing cut cleanly separates resonant and non-resonant regimes.
  3. [Differential results] In the differential distributions, the impact of the complete NLO corrections (especially the EW Sudakov logarithms) should be shown as relative corrections with respect to the Born-level prediction that includes the same fiducial cuts; this would make the size of the subleading effects immediately visible to the reader.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of the manuscript, the positive assessment of its significance, and the recommendation for minor revision. We are pleased that the work is recognized as filling a gap in the literature on complete NLO corrections for off-shell ttbar production.

read point-by-point responses

  1. Referee: REFEREE SUMMARY: The manuscript computes the complete NLO QCD and electroweak corrections to off-shell top-quark pair production in the lepton-plus-jets channel (pp → ℓ⁻ ν̄ℓ jb jb jj + X) at √s = 13.6 TeV. It retains finite-width effects for the top quarks and W/Z bosons, includes all doubly-, singly-, and non-resonant diagrams together with their interferences, accounts for every partonic initial state from O(α_s⁴ α²) to O(α_s⁰ α⁶) at Born level, and ensures infrared safety through parton-to-photon fragmentation functions and photon-to-jet conversion functions. Numerical results are presented for fiducial integrated and differential cross sections, with explicit quantification of subleading effects (EW Sudakov logarithms, non-resonant QCD backgrounds) and a comparison of two analysis strategies that differ by the presence or absence of the |M_jj − m_W| < 20 GeV resonance cut.

    Authors: We thank the referee for this accurate summary of our calculation. The manuscript indeed includes all the features described: finite-width effects for tops and gauge bosons, the full set of doubly-, singly- and non-resonant diagrams with interferences, all partonic channels from O(α_s⁴α²) to O(α_s⁰α⁶), and the IR-safe treatment via parton-to-photon fragmentation functions together with photon-to-jet conversion functions. The numerical results at √s = 13.6 TeV, the quantification of subleading effects, and the explicit comparison of the two analysis strategies (with and without the |M_jj − m_W| < 20 GeV cut) are presented exactly as outlined. revision: no

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper reports an explicit perturbative computation of complete NLO QCD+EW corrections to off-shell ttbar production in the lepton-plus-jets channel. All Born-level contributions from O(α_s^4 α^2) to O(α_s^0 α^6), finite-width effects, doubly/singly/non-resonant diagrams and their interferences, and all partonic channels are evaluated directly via diagrammatic methods. Infrared safety is achieved by standard, externally defined parton-to-photon fragmentation and photon-to-jet conversion functions; the Q_cut=20 GeV cut is an analysis choice, not a fitted parameter inside any prediction. No equation reduces by construction to a self-definition, a fitted input renamed as output, or a load-bearing self-citation chain. The derivation chain is therefore self-contained against external benchmarks and receives score 0.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The calculation rests on standard perturbative quantum field theory in the Standard Model. No new free parameters are introduced beyond conventional scale choices and the analysis cut Q_cut. No new particles or forces are postulated.

axioms (1)
  • domain assumption Perturbative expansion of the Standard Model is valid at LHC energies for this process.
    Invoked to justify computing NLO corrections to all Born-level contributions.

pith-pipeline@v0.9.0 · 5649 in / 1421 out tokens · 40901 ms · 2026-05-16T20:39:39.148463+00:00 · methodology

discussion (0)

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Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

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Reference graph

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