Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Higgs boson production in association with three jets via gluon fusion at the LHC: Gluonic contributions

Francisco Campanario, Michael Kubocz

TL;DR

Problem: quantify Higgs production in association with three jets through gluon fusion beyond the heavy-top limit, including full mass effects of top and bottom loops at LO. Approach: compute gg → H ggg using a minimal set of master diagrams in an effective current framework, enforce numerical stability with Ward identities and precision checks, and compare with the heavy-top EFT including form factor corrections. Findings: bottom loops are small in the SM; EFT with FF reproduces full results up to m_H ~ 290–330 GeV depending on s, but at high p_T and heavier Higgs masses large deviations appear; the azimuthal-dijet distributions remain CP-sensitive and EFT describes their shape reasonably well in many regimes. Significance: these results validate EFT approaches for most LHC kinematics, quantify where full loop effects matter, and provide essential input for NLO GF Higgs+2 jets and CP-property studies, with the code to be released in VBFNLO.

Abstract

Higgs production in association with three jets via gluon fusion (GF) is an important channel for the measurement of the CP-properties of the Higgs particle at the LHC. In this letter, we go beyond the heavy top effective theory approximation and include at LO the full mass dependence of the top- and bottom-quark contributions. We consider the dominant sub-channel gg -> H ggg which involves the manipulation of massive rank-5 hexagon integrals. Furthermore, we present results for several differential distributions and show deviations from the effective theory as large as 100% at high pT for light Higgs masses.

Higgs boson production in association with three jets via gluon fusion at the LHC: Gluonic contributions

TL;DR

Problem: quantify Higgs production in association with three jets through gluon fusion beyond the heavy-top limit, including full mass effects of top and bottom loops at LO. Approach: compute gg → H ggg using a minimal set of master diagrams in an effective current framework, enforce numerical stability with Ward identities and precision checks, and compare with the heavy-top EFT including form factor corrections. Findings: bottom loops are small in the SM; EFT with FF reproduces full results up to m_H ~ 290–330 GeV depending on s, but at high p_T and heavier Higgs masses large deviations appear; the azimuthal-dijet distributions remain CP-sensitive and EFT describes their shape reasonably well in many regimes. Significance: these results validate EFT approaches for most LHC kinematics, quantify where full loop effects matter, and provide essential input for NLO GF Higgs+2 jets and CP-property studies, with the code to be released in VBFNLO.

Abstract

Higgs production in association with three jets via gluon fusion (GF) is an important channel for the measurement of the CP-properties of the Higgs particle at the LHC. In this letter, we go beyond the heavy top effective theory approximation and include at LO the full mass dependence of the top- and bottom-quark contributions. We consider the dominant sub-channel gg -> H ggg which involves the manipulation of massive rank-5 hexagon integrals. Furthermore, we present results for several differential distributions and show deviations from the effective theory as large as 100% at high pT for light Higgs masses.

Paper Structure

This paper contains 4 sections, 7 equations, 4 figures, 1 table.

Table of Contents

  1. Introduction
  2. Calculation
  3. Numerical Results
  4. Summary

Figures (4)

  • Figure 1: Master Feynman diagrams
  • Figure 2: Cross section of the $gg \rightarrow gggH$ scattering sub-process as a function of Higgs boson mass for c.o.m. energies of 8 TeV and 14 TeV. Both panels show the effective theory (with and without FF) and full mass contributions. The inclusive cuts (IC) of Eq. \ref{['ICuts']} have been applied.
  • Figure 3: Comparison of transverse-momentum distributions of the harder jet of the $gg \rightarrow gggH$ scattering sub-process evaluated within the effective and loop-induced theory. The inclusive cuts (IC) of Eq. \ref{['ICuts']} are applied.
  • Figure 4: Comparison of azimuthal angle distributions of the $gg \rightarrow gggH$ scattering sub-process evaluated within the effective and loop-induced theory. The ICphi set of acceptance cuts of Eq. \ref{['ICphi']} is applied.