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$gg \to ZH$ : updated predictions at NLO QCD

by Benjamin Campillo Aveleira, Long Chen, Joshua Davies, Giuseppe Degrassi, Pier Paolo Giardino, Ramona Gröber, Gudrun Heinrich, Stephen Jones, Matthias Kerner, Johannes Schlenk, Matthias Steinhauser, Marco Vitti

Submission summary

Authors (as registered SciPost users): Gudrun Heinrich · Marco Vitti
Submission information
Preprint Link: https://arxiv.org/abs/2508.09905v2  (pdf)
Date accepted: Dec. 17, 2025
Date submitted: Nov. 20, 2025, 11:04 a.m.
Submitted by: Marco Vitti
Submitted to: SciPost Physics Community Reports
 for consideration in Collection:
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Experiment
  • High-Energy Physics - Phenomenology

Abstract

We present state-of-the-art predictions for the inclusive cross section of gluon-initiated $ZH$ production, following the recommendations of the LHC Higgs Working Group. In particular, we include NLO QCD corrections, where the virtual corrections are obtained from the combination of a forward expansion and a high-energy expansion, and the real corrections are exact. The expanded results for the virtual corrections are compared in detail to full numerical results. The updated predictions show a reduction of the scale uncertainties to the level of 15%, and they include an estimate of the top-mass-scheme uncertainty.

Author comments upon resubmission

The referee requested a more prominent account of the interplay of the gluon-initated channel with the Drell-Yan-like contribution. We addressed the request as described in the list of changes below.

List of changes

• We added a sentence at the end of the Introduction, in which we mention that
the Drell-Yan-like and the gluon-initiated contributions cannot be formally treated as independent, and referring
to a discussion in Subsection 2.2.

• We added a paragraph at the beginning of Subsection 2.2, where we state (as
correctly pointed out by the referee) that real-emission diagrams that we included
in our O($\alpha_s^3$ ) corrections can interfere with Drell-Yan-like diagrams at O($\alpha_s^2$ ).

• We added a sentence at the end of Subsection 3.1, stating that our choice of
central scales for the evaluation of the gluon-initiated contribution does not take
into account correlations of scale uncertainties due to the interplay of the gluon-
initiated and Drell-Yan-like channels. However, we assume these effects to be of
higher order.
Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics Community Reports: Publish
(status: Editorial decision fixed and (if required) accepted by authors)


Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2025-11-28 (Invited Report)

Strengths

1-This is a well written contribution, where the current status of the NLO corrections to gg→ZH is discussed.
2-The two independent computations of the NLO cross sections are carefully compared and new state of the art predictions are presented, which are based on the approximated analytic computation. The differences are shown to be negligible.
3-The discussion includes a detailed analysis of the remaining uncertainties.

Weaknesses

None

Report

I think the paper fully meets the acceptance criteria and can be now published

Requested changes

The authors have addressed the points raised in my first report.

Recommendation

Publish (easily meets expectations and criteria for this Journal; among top 50%)

  • validity: high
  • significance: high
  • originality: good
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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