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arxiv: 2605.02622 · v1 · submitted 2026-05-04 · ✦ hep-ph

Recognition: 3 theorem links

· Lean Theorem

Studying the Infrared Behaviour of Improved Logarithmic Accuracy Parton Showers with Herwig

Jack Holguin , Simon Pl\"atzer , Michael H. Seymour , Siddharth Sule
Authors on Pith no claims yet

Pith reviewed 2026-05-08 18:27 UTC · model grok-4.3

classification ✦ hep-ph
keywords parton showersdipole showersinfrared cutoffNLL accuracycluster hadronizationHerwig event generatorNLO matching
0
0 comments X

The pith

Parton showers with improved logarithmic accuracy still produce different hadron-level results because of how they set their infrared cutoffs.

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

The paper implements two new dipole shower algorithms that reach next-to-leading logarithmic accuracy at leading colour inside the Herwig generator. These are compared with Herwig's existing dipole and angular-ordered showers, with attention paid to how each algorithm behaves when extrapolated into the hard regime for NLO matching and into the infrared regime where cluster hadronization begins. The authors show that the precise value and definition of the infrared cutoff used by each shower sets the starting point for hadronization and that this choice produces noticeable differences once hadrons are formed. Because these cutoff differences survive at the hadron level, the work identifies them as a concrete handle for studying how parton showers and hadronization models interact. The paper also reports tuned parameter sets that give acceptable descriptions of data for each shower variant.

Core claim

Two recently proposed dipole shower algorithms with next-to-leading-logarithmic accuracy at leading colour have been implemented in Herwig. Their infrared cutoffs differ from those of the existing showers, and this difference propagates through cluster hadronization to produce observable consequences at the hadron level. The precise infrared cutoff therefore acts as the initial condition handed to the hadronization model, and variations in that cutoff constitute a starting point for systematic study of the interplay between parton showers and hadronization.

What carries the argument

The infrared cutoff that each shower applies before handing partons to the cluster hadronization model.

If this is right

  • The infrared cutoff must be treated as a tunable parameter that links the parton shower to the hadronization model.
  • NLO matching in the hard regime and infrared cutoff choices both matter, but the cutoff choice directly affects the starting point for hadronization.
  • Each shower variant requires its own best-fit parameter set when tuned to data.
  • Further dedicated studies of the shower-hadronization interface are needed to reduce theoretical uncertainty in hadron-level predictions.

Where Pith is reading between the lines

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

  • Hadronization models may need to be re-tuned or even re-designed when paired with showers that use different infrared cutoffs.
  • The cutoff dependence could be tested by comparing showers in processes where hadronization effects are large, such as low-pT jet observables or underlying-event measurements.
  • If the cutoff choice proves to be the main source of spread, it offers a practical way to quantify part of the shower systematic uncertainty without changing the entire shower algorithm.

Load-bearing premise

Differences seen at the hadron level are driven mainly by the infrared cutoff definition rather than by other modeling choices in NLO matching or in the hadronization itself.

What would settle it

If the hadron-level distributions obtained from one shower can be made to match those of another simply by adjusting only the infrared cutoff value while leaving all other parameters fixed, the claim that the cutoff is the dominant driver would be supported.

read the original abstract

We have implemented two recently proposed dipole shower algorithms that have next-to-leading-logarithmic accuracy at leading colour in the Herwig event generator. We study their properties and compare them to Herwig's existing dipole and angular ordered parton shower algorithms. In addition to their improved properties in the logarithmic regime, we find important roles for their extrapolations into the hard regime, where we perform NLO matching, and into the infrared regime, where we perform cluster hadronization. We emphasise the importance of this infrared regime and the precise definition of the infrared cutoff used by each shower as the initial state for Herwig's hadronization model. Studying the results at the hadron level, we find important consequences of this infrared cutoff difference and propose it as a starting point for further study of the interplay between parton showers and hadronization models. We conclude by studying the models' tunability and identifying the best-fit parameters for each.

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

1 major / 1 minor

Summary. The manuscript presents the implementation of two dipole parton shower algorithms with next-to-leading logarithmic (NLL) accuracy at leading colour in the Herwig event generator. These are compared to the existing dipole and angular-ordered showers in Herwig, with particular attention to their extrapolations into the hard regime (for NLO matching) and the infrared regime (for cluster hadronization). The authors stress the importance of the precise definition of the infrared cutoff in each shower as the starting point for hadronization and report significant impacts of these differences on hadron-level observables. They further examine the tunability of the models and determine best-fit parameters for each.

Significance. If the differences observed at the hadron level can be robustly attributed to the variations in infrared cutoff definitions rather than other modeling choices, this study would highlight a crucial aspect of the interface between parton showers and hadronization models, which is often underappreciated in event generator development. The work contributes to the ongoing efforts to improve the logarithmic accuracy of parton showers while maintaining consistency with non-perturbative models, potentially leading to better predictions for soft and collinear physics at the LHC and other colliders. The provision of best-fit parameters also aids reproducibility and further tuning efforts.

major comments (1)
  1. [Abstract and hadron-level results discussion] The assertion that the observed differences at hadron level are important consequences of the infrared cutoff difference (as stated in the abstract) requires careful isolation from other differences between the shower algorithms, such as their logarithmic accuracy, hard-regime extrapolations, and NLO matching implementations. The manuscript would benefit from additional studies or controls that vary only the infrared cutoff definition while holding other modeling choices fixed to confirm the primary driver of the effects.
minor comments (1)
  1. [Abstract] The abstract mentions finding 'important consequences' and 'best-fit parameters' but does not provide any quantitative results, error estimates, or specific observables affected; including such would improve the summary for readers.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the constructive suggestion regarding the isolation of infrared cutoff effects. We address the major comment below and indicate the revisions we will make.

read point-by-point responses

  1. Referee: The assertion that the observed differences at hadron level are important consequences of the infrared cutoff difference (as stated in the abstract) requires careful isolation from other differences between the shower algorithms, such as their logarithmic accuracy, hard-regime extrapolations, and NLO matching implementations. The manuscript would benefit from additional studies or controls that vary only the infrared cutoff definition while holding other modeling choices fixed to confirm the primary driver of the effects.

    Authors: We agree that a more controlled isolation of the infrared cutoff would strengthen the attribution of hadron-level differences. The manuscript compares the two new NLL dipole showers against Herwig's existing dipole and angular-ordered showers, each with its own cutoff definition, and observes that hadron-level discrepancies are largest in soft/collinear-sensitive observables even after NLO matching. While the algorithms differ in logarithmic accuracy and hard-regime extrapolation, the cutoff directly determines the partonic configuration entering cluster hadronization. Fully varying only the cutoff while freezing every other modeling choice is non-trivial, as the cutoff is intrinsic to each shower's evolution variable and phase-space mapping. We will therefore revise the abstract to replace the phrasing 'important consequences' with 'suggest important consequences' and add a dedicated paragraph in the hadron-level results section that explicitly discusses the other algorithmic differences and explains why the cutoff remains the dominant factor in the infrared regime based on the existing comparisons. No new large-scale simulations will be added at this stage. revision: partial

Circularity Check

0 steps flagged

No circularity: claims rest on explicit implementation, numerical comparison, and separate tuning

full rationale

The paper implements two recently proposed NLL-accurate dipole showers inside Herwig, compares their logarithmic, hard-regime, and infrared properties against existing angular-ordered and dipole showers, and reports hadron-level differences attributable to each shower's infrared cutoff definition before cluster hadronization. These differences are obtained from direct Monte-Carlo runs rather than from any equation that re-derives its own input. The final tuning step identifies best-fit parameters for each model; this is presented as a separate exercise and is not used to validate the infrared-cutoff claim. No self-citation supplies a uniqueness theorem or ansatz that the present results then rely upon, and no fitted quantity is relabeled as a prediction. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claims rest on standard QCD parton-shower approximations and the assumption that the infrared cutoff is the dominant source of differences at hadron level. No new entities are postulated. Best-fit parameters are identified but their values are not given in the abstract.

free parameters (1)
  • best-fit parameters for each shower model
    The paper identifies best-fit parameters for tunability of the new and existing showers.
axioms (1)
  • domain assumption Standard leading-colour NLL approximations for dipole showers remain valid when extrapolated to the infrared cutoff
    Implicit in all parton-shower studies; invoked when discussing extrapolation into the infrared regime.

pith-pipeline@v0.9.0 · 5465 in / 1416 out tokens · 28602 ms · 2026-05-08T18:27:45.961427+00:00 · methodology

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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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supports
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extends
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Reference graph

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