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Threshold resummation for gluon fusion $ZH$ production at the LHC

Goutam Das, Chinmoy Dey, M. C. Kumar, Kajal Samanta

Abstract

We present precise results for the $ZH$ production cross-section and invariant mass distribution at the LHC, taking into account the effects of the leading and sub-leading soft gluons. We improve both quark-initiated and gluon-initiated subprocesses through threshold resummation within the QCD framework.

Threshold resummation for gluon fusion $ZH$ production at the LHC

Abstract

We present precise results for the production cross-section and invariant mass distribution at the LHC, taking into account the effects of the leading and sub-leading soft gluons. We improve both quark-initiated and gluon-initiated subprocesses through threshold resummation within the QCD framework.
Paper Structure (4 sections, 9 equations, 5 figures)

This paper contains 4 sections, 9 equations, 5 figures.

Table of Contents

  1. Introduction
  2. Theoretical framework
  3. Numerical results
  4. Summary

Figures (5)

  • Figure 1: The comparison of invariant mass distribution of $ZH$ in the gluon fusion channel at LO for EFT and Exact theories at $13.6$ TeV LHC. The bands correspond to the theoretical uncertainty using seven-point scale variation.
  • Figure 2: Comparison between the Born-improved fixed order and resummed results. All the ratios as defined in Eq. (\ref{['eq:ratio']}) to quantify the enhancement. The left panel is for fixed order and SV resummation and the right panel is for fixed order, SV resummation and NSV resummation.
  • Figure 3: Comparison of 7-point scale (upper panel) and the PDF uncertainty (lower panel) of gluon fusion $ZH$ production for Born-improved SV (left) and NSV resummation (right) against their corresponding fixed order results at $13.6$ TeV LHC.
  • Figure 4: Different subprocess contributions with the unphysical scale uncertainties are presented here for both fixed-order and resum results.
  • Figure 5: The 7-point scale uncertainty (upper panel) and the PDF uncertainty (lower panel) are shown for the $pp \to ZH$ process at $13.6$ TeV LHC.