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

Jack Holguin; Michael H. Seymour; Siddharth Sule; Simon Pl\"atzer

arxiv: 2605.02622 · v2 · pith:F7QM7Q6Q · submitted 2026-05-04 · hep-ph

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

Jack Holguin , Simon Pl\"atzer , Michael H. Seymour , Siddharth Sule This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel 2026-07-01 00:13 UTCgrok-4.3pith:F7QM7Q6Q record.json open to challenge →

classification hep-ph

keywords parton showersinfrared cutoffhadronizationHerwigdipole showersNLO matchinglogarithmic accuracycluster hadronization

0 comments

The pith

The precise infrared cutoff definition in parton showers drives observable differences at the hadron level in Herwig.

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

The paper implements two dipole parton shower algorithms with next-to-leading-logarithmic accuracy at leading colour inside the Herwig event generator. It compares their performance to Herwig's existing dipole and angular-ordered showers, paying special attention to how each algorithm behaves when extrapolated into the infrared regime. The central result is that the exact choice of infrared cutoff, which supplies the starting configuration for Herwig's cluster hadronization model, produces clear differences once hadron-level observables are examined. A sympathetic reader cares because this cutoff choice directly influences the reliability of collider predictions that rely on the transition from perturbative showers to non-perturbative hadronization. The authors also extract best-fit parameters for each shower after tuning.

Core claim

The authors implemented two recently proposed dipole shower algorithms with NLL accuracy at leading colour in Herwig. While these algorithms improve properties in the logarithmic regime, their extrapolations into the infrared regime matter because the precise infrared cutoff each shower uses becomes the initial state passed to Herwig's cluster hadronization model. At the hadron level this cutoff difference produces important consequences, which the authors propose as a starting point for further study of the interplay between parton showers and hadronization models.

What carries the argument

The infrared cutoff chosen by each shower algorithm, which supplies the initial configuration for the cluster hadronization model.

Load-bearing premise

Observed differences at the hadron level arise primarily from the distinct infrared cutoff definitions rather than from other implementation details of the showers, the NLO matching, or the hadronization model itself.

What would settle it

Re-running the hadron-level comparisons after forcing every shower to adopt an identical infrared cutoff value would show whether the reported differences disappear.

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.

Desk Editor's Note private letter to a colleague

They ported two recent NLL dipole showers into Herwig and show that the infrared cutoff choice affects hadron-level results, but the differences are not isolated from other shower variations.

read the letter

The paper's main contribution is the implementation of two recently proposed dipole showers inside Herwig, followed by a direct comparison to the generator's existing angular-ordered and dipole options. They run the new showers through NLO matching and cluster hadronization, then examine how the infrared cutoff definitions feed into the hadronization model.

They do the implementation cleanly and report tunability studies that identify best-fit parameters for each shower. That part is practical and will be of immediate use to people who actually run Herwig.

The softer part is the emphasis on the infrared cutoff as the key driver of hadron-level differences. The showers vary simultaneously in their hard-regime behavior, matching procedure, and logarithmic accuracy, so the observed effects at hadron level cannot be cleanly attributed to the cutoff alone. No controlled test that holds everything else fixed and varies only the cutoff scale or definition is described.

This is a standard generator-implementation paper aimed at the small group of people who develop or tune parton showers inside Herwig. It does not reorganize the field, but the numerical comparisons are worth having in the literature.

I would send it to referees. The work is honest, the code changes are real, and the community that maintains these tools needs this kind of documentation even if the interpretation of the cutoff effects needs more isolation.

Referee Report

1 major / 2 minor

Summary. The manuscript implements two recently proposed dipole parton shower algorithms with next-to-leading-logarithmic accuracy at leading colour inside the Herwig event generator. These are compared to Herwig's existing dipole and angular-ordered showers, with emphasis on their extrapolations into the hard regime (where NLO matching is performed) and the infrared regime (where the infrared cutoff serves as input to the cluster hadronization model). The authors report that differences in the precise definition of this infrared cutoff produce important consequences at the hadron level and propose the cutoff as a starting point for further study of shower-hadronization interplay; they conclude with a tunability study that identifies best-fit parameters for each model.

Significance. If the reported hadron-level consequences of the infrared cutoff definitions are robust, the work is significant for clarifying the interface between perturbative showers and non-perturbative hadronization in general-purpose event generators. The explicit implementation of improved-logarithmic-accuracy showers and the concrete tuning exercise to data constitute practical strengths that can guide users of Herwig.

major comments (1)

[§4 (hadron-level results)] §4 (hadron-level results): the attribution of observed differences at the hadron level to the distinct infrared cutoff definitions is not supported by a controlled test in which only the cutoff scale or definition is varied inside a single shower framework while holding the NLO matching procedure, hard-regime extrapolation, and cluster hadronization model fixed. Because the compared showers differ simultaneously in multiple algorithmic aspects, the central claim that the cutoff is the dominant driver cannot be isolated from other implementation distinctions.

minor comments (2)

[tunability section] Ensure that all tables reporting best-fit parameters explicitly list the observables and data sets used in the tuning procedure.
Figure captions should state the precise infrared cutoff values employed by each shower variant.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting the need for greater clarity on the origin of the observed hadron-level differences. We address the major comment below.

read point-by-point responses

Referee: §4 (hadron-level results): the attribution of observed differences at the hadron level to the distinct infrared cutoff definitions is not supported by a controlled test in which only the cutoff scale or definition is varied inside a single shower framework while holding the NLO matching procedure, hard-regime extrapolation, and cluster hadronization model fixed. Because the compared showers differ simultaneously in multiple algorithmic aspects, the central claim that the cutoff is the dominant driver cannot be isolated from other implementation distinctions.

Authors: We agree that a fully controlled test, in which only the infrared cutoff definition is varied inside one fixed shower framework while keeping NLO matching, hard-regime behaviour and the hadronization model identical, would strengthen the attribution. Such a test is not performed in the present work because the two NLL-accurate dipole showers are distinct algorithmic proposals; implementing a hybrid version that isolates only the cutoff would require substantial additional development beyond the scope of the paper. The manuscript instead compares complete, self-consistent implementations as they would be used in practice. We have revised §4 to state explicitly that the showers differ in several respects and that, while the infrared cutoff is expected to be an important driver of the hadron-level differences (because it directly sets the input to cluster hadronization), other algorithmic distinctions may also contribute. The text now frames the cutoff as a promising starting point for future dedicated studies rather than as the sole proven cause. revision: partial

Circularity Check

0 steps flagged

No circularity: numerical implementation study with external tuning

full rationale

The manuscript describes implementation of two prior dipole-shower algorithms inside Herwig, followed by direct Monte-Carlo comparisons against existing showers and data. All reported differences at hadron level are obtained from explicit event generation; the final step identifies best-fit parameters by tuning to external observables. No equation or claim reduces by construction to a quantity defined inside the same paper, and no load-bearing self-citation chain is invoked to justify the central observations. The work is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no explicit equations or derivations. The only free parameters explicitly mentioned are the best-fit tuning parameters identified for each shower model. No new axioms or invented entities are described.

free parameters (1)

best-fit parameters for each shower model
The paper reports identifying best-fit parameters after studying tunability of the implemented algorithms.

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