arxiv: 2604.26124 · v1 · submitted 2026-04-28 · ✦ hep-ph

Recognition: unknown

Recent Developments in IR-Improved Amplitude-Based Resummation in Precision High Energy Collider Physics

B.F.L. Ward (1) , S. Jadach (2)(a) , W. Placzek (3) , M. Skrzypek (2) , Z. Was (3) , S. Yost (4) , A. Siodmok (3) ((1) Baylor University , Waco

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TX USA (2) Institute of Nuclear Physics Krakow PL (3) Jagiellonian University (4) The Citadel Charleston SC (a) deceased)

Authors on Pith no claims yet

Pith reviewed 2026-05-07 15:22 UTC · model grok-4.3

classification ✦ hep-ph

keywords amplitude-based resummationinfrared singularitiesprecision collider physicsQED resummationQCD resummationLHC observablesfuture colliders

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The pith

Amplitude-based resummation improves infrared singularities for more precise collider predictions.

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

The paper presents recent developments showing how amplitude-based resummation can improve unintegrable infrared singularities in the QED and QCD sectors of the standard model gauge theory. This approach targets better theoretical control over higher-order effects in scattering processes. A sympathetic reader would care because such improvements directly affect the accuracy of predictions for observables measured at current and planned high-energy colliders. The work focuses on applications to the LHC, FCC, linear colliders, and circular electron-positron machines, including new results and open issues. If the method works as described, it reduces reliance on uncontrolled approximations in precision calculations.

Core claim

The authors present recent developments in precision high energy collider physics based on the IR-improvement of unintegrable singularities in the infrared regime via amplitude-based resummation in QED×QCD within SU(2)_L × U(1) × SU(3)^c, with new results for LHC/FCC, LC, CLIC, CEPC, and CPPC physics.

What carries the argument

Amplitude-based resummation, which systematically resums contributions in scattering amplitudes to tame infrared singularities.

Load-bearing premise

That amplitude-based resummation can systematically improve infrared singularities to produce reliable and more precise predictions for collider observables without introducing uncontrolled approximations.

What would settle it

A high-precision measurement at the LHC or a future collider that shows a statistically significant discrepancy with the IR-improved predictions at a level beyond the claimed uncertainty reduction.

Figures

Figures reproduced from arXiv: 2604.26124 by (2) Institute of Nuclear Physics, (3) Jagiellonian University, (4) The Citadel, (a) deceased), A. Siodmok (3) ((1) Baylor University, B.F.L. Ward (1), Charleston, Krakow, M. Skrzypek (2), PL, SC, S. Jadach (2)(a), S. Yost (4), TX, USA, Waco, W. Placzek (3), Z. Was (3).

**Figure 1.** Figure 1: Excerpts from Ref. [1] on the state of CERN: (a), Future Options and R& D; (b), Theory highlights. As long as one calculates the corresponding hard radiation residuals to the desired order in the respective coupling, we emphasize that the YFS approach has no limit in principle to its precision [5]. This is dissimilar to methods such as the collinear factorization resummation method recently done to sublead… view at source ↗

**Figure 2.** Figure 2: Excerpt from Ref. [2] on expectations for precision EW tests at FCCee. NLO, NNLO, NNNLO, ..., and this is essential for future precision physics as exemplified by CERN – computer algebraic methods [10, 11] are paramount. 2. Recapitulation of YFS Exact Amplitude-Based Resummation We include here a synopsis of exact amplitude-based resummation theory, as it is still not generally familiar. The theory is carr… view at source ↗

**Figure 3.** Figure 3: ATLAS analysis of 𝑍/𝛾 production at 8 TeV. of uncertainties in the data, the comparison of the data to the Powheg-Pythia8-Photos [20–25], Sherpa2.2.4(YFS) [26, 27], and KKMC-hh predictions for the 𝛾 𝑝𝑇 spectrum shows that, at this point, the data are in reasonable agreement with all three predictions. With 10 times the statistics, a precision test against the theories will obtain at HL-LHC. Another new dev… view at source ↗

**Figure 4.** Figure 4: The distribution for 𝑃𝑇𝛾 of the photon for which it is greatest for events with at least one photon and each lepton having 𝑝𝑇ℓ > 25𝐺𝑒𝑉, 𝜂ℓ < 2.5 calculated with (0) FSR only (black). (1) FSR + ISR (blue). and (2) FSR + ISR with NISR (red) for NNPDF3.1-LuxQED NLO PDFs. For comparison, (3) shows FSR + ISR with ordinary NNPDF3.1 NLO PDFs (green). The center graph shows ISR on/off ratios (1)/(0) (blue),(2)/(0)… view at source ↗

**Figure 5.** Figure 5: Current purview on luminosity theory errors: (a), FCC-ee at 𝑀𝑍; (b), proposed higher energy colliders by a factor of 6 by the use of the results in Ref. [38] together with lattice methods [39–41]. The formula to be studied is Δ𝛼ℎ𝑎𝑑 (𝑡) = Δ𝛼ℎ𝑎𝑑 (−𝑄 2 0 )|𝑙𝑎𝑡 + [Δ𝛼ℎ𝑎𝑑 (𝑡) − Δ𝛼ℎ𝑎𝑑 (−𝑄 2 0 )] | 𝑝𝑄𝐶𝐷𝐴𝑑𝑙𝑒𝑟 with lat denoting the methods of Refs. [39–41] and pQCDAdler denoting the methods of Ref. [38]. In this lat… view at source ↗

**Figure 6.** Figure 6: The black curves (A) are the CEEX O (𝛼 2 ) weights. FOAM’s internal weight was set to 1 (B). ‡See also Ref. [47, 48] for analyses that suggest a value for 𝜌Λ (𝑡0) that is qualitatively similar to this experimental result. 6 view at source ↗

read the original abstract

We present recent developments in precision high energy collider physics based on the IR-improvement of unintegrable singularities in the infrared regime via amplitude-based resummation in $QED\times QCD \subset SU(2)_L \times U_1 \times SU(3)^c$. We focus on specific applications relevant to precision observables in LHC/FCC, LC, CLIC, CEPC, and CPPC physics, for which we present new results and some new issues.

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.

Desk Editor's Note private letter to a colleague

This is a review-style update on the group's amplitude-based IR resummation work, with applications to LHC and future colliders but limited concrete new benchmarks.

read the letter

This paper is a review of recent developments in using amplitude-based resummation to improve the treatment of infrared singularities in QED and QCD calculations for high energy colliders. The authors describe how their approach fits into the standard model gauge group structure and then turn to applications for precision observables. They cover work relevant to the LHC and FCC, as well as linear colliders like LC and CLIC, and circular colliders like CEPC and CPPC. They present some new results in these areas and also point out new issues that arise. What the paper does well is to pull together the threads from the group's prior efforts and show how the resummation method can be used in practice for reducing theoretical errors in collider predictions. The focus on specific facilities makes it clear why this matters for experimental programs. The soft spots are mostly in the level of detail. The new results are mentioned but not accompanied by quantitative comparisons or derivations that would let a reader judge the improvement over conventional methods. The assumption that the IR improvement leads to more reliable predictions is stated but would be stronger with more explicit validation steps shown. The citation pattern looks reasonable, building on the authors' own previous papers in this niche. There are no obvious gaps in referencing the broader field, though a reader might want more on competing resummation techniques. This paper is for theorists working on precision calculations for colliders. Someone outside that circle would probably not find much to take away. I would recommend that a serious editor send this to peer review. The topic is current, the authors know the material, and even as a developments summary it can serve a purpose for the community. It is not a high-impact original result, but it does not have load-bearing flaws either.

Referee Report

0 major / 3 minor

Summary. The manuscript summarizes recent developments in precision high-energy collider physics that rely on infrared improvement of unintegrable singularities through amplitude-based resummation in QED × QCD embedded in SU(2)_L × U(1) × SU(3)^c. It focuses on applications to precision observables at the LHC/FCC, LC, CLIC, CEPC, and CPPC, presenting new results together with some newly identified issues.

Significance. If the underlying resummation framework is rigorously validated and the new results are reproducible, the work could contribute to improved theoretical precision for collider phenomenology across multiple future facilities. As a summary of ongoing developments rather than a single new derivation, its primary value lies in consolidating progress and flagging open questions for the community.

minor comments (3)

The abstract states that 'new results and some new issues' are presented, but the manuscript should explicitly cross-reference the sections or equations where these results and issues are derived or illustrated so that readers can locate the concrete advances.
Acronyms such as FCC, LC, CLIC, CEPC, and CPPC should be defined at first use; the embedding notation QED × QCD ⊂ SU(2)_L × U(1) × SU(3)^c would benefit from a brief reminder of its meaning in the introduction.
If the paper contains numerical results or comparisons with other resummation approaches, a dedicated table or figure summarizing the size of the IR-improvement corrections would strengthen the presentation.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of our manuscript on recent developments in IR-improved amplitude-based resummation for precision high-energy collider physics and for recommending minor revision. No specific major comments are provided in the report.

Circularity Check

0 steps flagged

No significant circularity; summary of prior method applications

full rationale

The manuscript is a summary presentation of recent developments and applications of IR-improved amplitude-based resummation to precision observables at LHC/FCC, LC, CLIC, CEPC, and CPPC. It does not introduce or walk through a new first-principles derivation chain, theorem, or set of predictions that could reduce to fitted inputs or self-definitions by construction. No equations are presented that equate a claimed result to its own inputs, and the text flags both new results and open issues without load-bearing self-citations that substitute for independent verification. The work is self-contained as an overview of ongoing research rather than a closed deductive system.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available; no free parameters, axioms, or invented entities are specified in the provided text.

pith-pipeline@v0.9.0 · 5464 in / 981 out tokens · 61256 ms · 2026-05-07T15:22:46.332197+00:00 · methodology

discussion (0)

Reference graph

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