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arxiv: 2607.00629 · v1 · pith:TYRB6PWKnew · submitted 2026-07-01 · ✦ hep-ph · nucl-th

Gluon radiation from a QCD antenna with realistic parton-medium interactions

Carlota Andr\'es , Liliana Apolin\'ario , N\'estor Armesto , Andr\'e Cordeiro , Fabio Dom\'inguez , Pablo Guerrero-Rodr\'iguez , Jos\'e Guilherme Milhano This is my paper

Pith reviewed 2026-07-02 10:32 UTC · model grok-4.3

classification ✦ hep-ph nucl-th
keywords gluon radiationQCD antennamedium-induced radiationcolor coherenceparton-medium interactionsjet quenchingnumerical resummationin-medium cascades
0
0 comments X

The pith

The full in-medium gluon emission spectrum from a quark-antiquark pair is obtained by numerically solving a set of differential equations that resum all orders of medium scatterings with realistic kernels.

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

This paper recasts the coherent gluon radiation off a quark-antiquark pair traveling through a colored medium as a system of differential equations. The equations can be integrated numerically for any chosen scattering model, removing the need for the harmonic oscillator approximation that previously limited calculations to narrow regions of phase space. The resulting distributions of emitted gluon angles and energies demonstrate how color coherence is lost over the full accessible range. The approach therefore supplies a practical route to higher-precision predictions for jet observables in heavy-ion collisions.

Core claim

The spectrum of medium-induced gluons from the QCD antenna is expressed as a closed set of differential equations whose numerical solution resums multiple scatterings to all orders while accepting arbitrary realistic parton-medium interaction kernels, thereby extending the earlier single-charge formalism to the two-color-charge case and exposing the complete breakdown of coherence.

What carries the argument

A set of differential equations for the in-medium gluon emission spectrum from the quark-antiquark antenna, solved numerically to resum scatterings to all orders.

If this is right

  • Angle and energy distributions of emitted gluons become available for arbitrary scattering models across the entire phase space.
  • Color coherence is shown to break down without the phase-space cuts required by earlier approximations.
  • The formalism supplies a direct path to improved precision in calculations of jet observables.
  • All-order resummation of medium interactions is achieved without restricting the scattering kernel.

Where Pith is reading between the lines

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

  • The same differential-equation structure could be extended to multi-parton systems to model full jet evolution.
  • Numerical output from realistic kernels may expose quantitative differences in quenching patterns compared with harmonic-oscillator results.
  • Implementation in event generators would allow direct tests against heavy-ion data on jet substructure.

Load-bearing premise

The derived differential equations capture the full coherent radiation process for any scattering kernel without introducing hidden phase-space restrictions.

What would settle it

Direct numerical comparison of the antenna spectrum against an exact analytic result in the harmonic-oscillator limit, or against measured gluon distributions in a controlled medium where coherence is expected to survive.

read the original abstract

The spectrum of coherent gluon radiation from a quark-antiquark pair undergoing multiple scatterings within a colored medium is central for understanding in-medium parton cascades. However, current efforts are constrained by reliance on a number of approximations, such as the harmonic oscillator approximation, that are only valid within limited regions of phase space. In this paper, we circumvent this problem by expressing the full in-medium gluon emission spectrum as a set of differential equations that can be solved numerically. This formalism, previously applied to the case of medium-induced radiation off a single color charge, allows to resum medium interactions to all orders while employing realistic scattering models. The resulting angle and energy distributions of emitted gluons serve to illustrate the breakdown of color coherence across the entire accessible phase-space, and constitute a definite step towards a higher-precision description of jet observables.

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 / 2 minor

Summary. The manuscript extends a differential-equation formalism, previously applied to single-parton medium-induced radiation, to the quark-antiquark antenna case. It expresses the full in-medium gluon emission spectrum as a set of differential equations that can be solved numerically, thereby resumming medium interactions to all orders while employing arbitrary (realistic) scattering kernels and avoiding the harmonic-oscillator approximation. Numerical results for the angle and energy distributions of emitted gluons are used to illustrate the breakdown of color coherence across phase space.

Significance. If the central derivation and numerical implementation are correct, the work provides a concrete route to higher-precision calculations of coherent radiation in QCD media. This directly addresses a known limitation in jet-quenching phenomenology by allowing realistic scattering models without phase-space restrictions inherent to the oscillator approximation.

minor comments (2)
  1. The abstract states that the formalism 'allows to resum medium interactions to all orders' but does not indicate whether the differential equations reduce to known analytic limits (e.g., the single-parton spectrum or the harmonic-oscillator antenna result) when the appropriate kernels are substituted; such a check would strengthen the presentation.
  2. No explicit statement is given on the numerical method (e.g., discretization scheme, boundary conditions, or convergence tests) used to solve the differential equations; this information is needed to assess reproducibility of the reported distributions.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the accurate summary of our manuscript and for recognizing its potential to address limitations in current jet-quenching calculations. The recommendation of 'uncertain' appears to stem from the need to confirm the central derivation and numerical implementation, which we address below. No specific major comments were listed in the report.

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained numerical extension

full rationale

The paper derives a set of differential equations for the in-medium gluon emission spectrum from a quark-antiquark antenna and solves them numerically. This extends a prior single-parton formalism to allow arbitrary scattering kernels without harmonic-oscillator restrictions. No equation reduces to a fitted parameter renamed as prediction, no ansatz is smuggled via self-citation, and the central result is not forced by definition or prior self-citation chain. The approach is presented as a direct, numerically solvable resummation consistent with standard medium-induced radiation techniques. The minor reference to previous single-parton work is not load-bearing for the antenna extension.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, axioms, or invented entities are identifiable.

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discussion (0)

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Reference graph

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