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Higgs Pair Production: Improved Description by Matrix Element Matching

Qiang Li, Qi-Shu Yan, Xiaoran Zhao

TL;DR

This paper tackles the challenge of accurately predicting Higgs pair production via gluon fusion by retaining full heavy-quark loop information in a fully exclusive, ME-PS matched simulation. The authors implement first-principles one-loop hh+0,1 amplitudes reweighted from HEFT and couple them to a parton shower using shower-k_T MLM matching, validating against exact calculations. They show that Loop-with-matching closely matches exact results for key observables (M_hh, p_T^h, p_T^hh, jet rates) and reveals significant loop effects, especially at high p_T, which HEFT cannot capture. The work provides improved, LHC-ready exclusive predictions and accessible LHE samples for experimental analyses, highlighting the importance of full loop dynamics in Higgs pair phenomenology.

Abstract

Higgs pair production is crucial for measuring the Higgs boson self-coupling. The dominant channel at hadron colliders is gluon fusion via heavy-quark loops. We present the results of a fully exclusive simulation of gluon fusion Higgs pair production based on the matrix elements for hh + 0, 1 partons including full heavy-quark loop dependence, matched to a parton shower. We examine and validate this new description by comparing it with (a) Higgs Effective Theory predictions, (b) exact hh + 0-parton sample showered by pythia, and (c) exact hh+1-parton distributions, by looking at the most relevant kinematic distributions, such as PTh, PThh, Mhh spectra, and jet rate as well. We find that matched samples provide an state-of-the-art accurate exclusive description of the final state. The relevant LHE files for Higgs pair productions at the LHC can be accessed via http://hepfarm02.phy.pku.edu.cn/foswiki/CMS/HH, which can be used for relevant experimental analysis.

Higgs Pair Production: Improved Description by Matrix Element Matching

TL;DR

This paper tackles the challenge of accurately predicting Higgs pair production via gluon fusion by retaining full heavy-quark loop information in a fully exclusive, ME-PS matched simulation. The authors implement first-principles one-loop hh+0,1 amplitudes reweighted from HEFT and couple them to a parton shower using shower-k_T MLM matching, validating against exact calculations. They show that Loop-with-matching closely matches exact results for key observables (M_hh, p_T^h, p_T^hh, jet rates) and reveals significant loop effects, especially at high p_T, which HEFT cannot capture. The work provides improved, LHC-ready exclusive predictions and accessible LHE samples for experimental analyses, highlighting the importance of full loop dynamics in Higgs pair phenomenology.

Abstract

Higgs pair production is crucial for measuring the Higgs boson self-coupling. The dominant channel at hadron colliders is gluon fusion via heavy-quark loops. We present the results of a fully exclusive simulation of gluon fusion Higgs pair production based on the matrix elements for hh + 0, 1 partons including full heavy-quark loop dependence, matched to a parton shower. We examine and validate this new description by comparing it with (a) Higgs Effective Theory predictions, (b) exact hh + 0-parton sample showered by pythia, and (c) exact hh+1-parton distributions, by looking at the most relevant kinematic distributions, such as PTh, PThh, Mhh spectra, and jet rate as well. We find that matched samples provide an state-of-the-art accurate exclusive description of the final state. The relevant LHE files for Higgs pair productions at the LHC can be accessed via http://hepfarm02.phy.pku.edu.cn/foswiki/CMS/HH, which can be used for relevant experimental analysis.

Paper Structure

This paper contains 4 sections, 3 equations, 4 figures.

Table of Contents

  1. Introduction
  2. Method
  3. SM Higgs Pair production
  4. Conclusions

Figures (4)

  • Figure 1: $M_{hh}$ distributions in Higgs pair gluon fusion production at the 14TeV LHC.
  • Figure 2: Single and di-Higgs $p_T$ distributions for Higgs pair gluon fusion production at the 14 TeV LHC.
  • Figure 3: Jet rates for Higgs pair gluon fusion production at the 14TeV LHC.
  • Figure 4: $p_T^{hh}$ distributions for Higgs pair gluon fusion production at the 14 TeV LHC, with the trilinear Higgs parameter $\lambda$ scaled from the SM value by a factor of 2 and 0.5.