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Higgs boson CP-properties of the gluonic contributions in Higgs plus three jet production via gluon fusion at the LHC

Francisco Campanario, Michael Kubocz

TL;DR

This work addresses how to extract CP information from a CP-violating Higgs in gluon-fusion events with multiple jets by computing the dominant LO sub-process $gg \to ggg \Phi$ with full mass dependence of the top and bottom quarks. It shows that bottom-quark contributions can dominate at large $\tan \beta$ and that CP-sensitive observables such as the azimuthal jet correlation $Δ \phi_{jj}$ can be distorted when using the heavy-top EFT, highlighting the need for full-mass calculations in certain parameter regions. The authors implement Ward identities for numerical stability, validate against MadGraph, and compare full theory to EFT with form factors to map the EFT validity region, laying groundwork for accurate NLO predictions and public availability in VBFNLO. The findings guide LHC analyses of Higgs CP properties and emphasize when EFT approximations suffice, while enabling more reliable modeling of gluon-fusion Higgs plus multi-jet events.

Abstract

In high energy hadronic collisions, a general CP-violating Higgs boson $Φ$ with accompanying jets can be efficiently produced via gluon fusion, which is mediated by heavy quark loops. In this letter we study the dominant sub-channel $ gg \to Φggg$ of the gluon fusion production process with triple real emission corrections at order $α_s^5$. We go beyond the heavy top limit approximation and include the full mass dependence of the top- and bottom-quark contributions. Furthermore, we show within a toy-model scenario that bottom-quark loop contributions in combination with large values of $\tan β$ can modify visibly the differential distributions sensitive to $\mathcal{CP}$-measurements of the Higgs boson particle.

Higgs boson CP-properties of the gluonic contributions in Higgs plus three jet production via gluon fusion at the LHC

TL;DR

This work addresses how to extract CP information from a CP-violating Higgs in gluon-fusion events with multiple jets by computing the dominant LO sub-process with full mass dependence of the top and bottom quarks. It shows that bottom-quark contributions can dominate at large and that CP-sensitive observables such as the azimuthal jet correlation can be distorted when using the heavy-top EFT, highlighting the need for full-mass calculations in certain parameter regions. The authors implement Ward identities for numerical stability, validate against MadGraph, and compare full theory to EFT with form factors to map the EFT validity region, laying groundwork for accurate NLO predictions and public availability in VBFNLO. The findings guide LHC analyses of Higgs CP properties and emphasize when EFT approximations suffice, while enabling more reliable modeling of gluon-fusion Higgs plus multi-jet events.

Abstract

In high energy hadronic collisions, a general CP-violating Higgs boson with accompanying jets can be efficiently produced via gluon fusion, which is mediated by heavy quark loops. In this letter we study the dominant sub-channel of the gluon fusion production process with triple real emission corrections at order . We go beyond the heavy top limit approximation and include the full mass dependence of the top- and bottom-quark contributions. Furthermore, we show within a toy-model scenario that bottom-quark loop contributions in combination with large values of can modify visibly the differential distributions sensitive to -measurements of the Higgs boson particle.

Paper Structure

This paper contains 4 sections, 13 equations, 5 figures.

Table of Contents

  1. Introduction
  2. Calculational Details
  3. Numerical Results
  4. Summary

Figures (5)

  • Figure 1: Master Feynman diagrams
  • Figure 2: Left: A + 3 jet cross section as a function of the pseudo-scalar Higgs boson mass, $m_A$, for different values of $\tan \beta$. Right: $\Phi$+ 3 jet cross section as a function of $\tan \beta$ for several values of the $\Phi$ mass. The inclusive cuts (IC) of Eq. (\ref{['ICuts']}) are applied
  • Figure 3: Transverse-momentum distributions of the harder jet generated within our toy-model scenario including top and bottom loop-induced amplitudes for different values of $\tan \beta$ and for the effective theory with form factors (eff$_{FF}$). The lower panel shows the ratios of the effective Lagrangian approach vs. the full theory for various $\tan \beta$ values. The inclusive cuts (IC) of Eq. \ref{['ICuts']} are applied.
  • Figure 4: The transverse-momentum distributions of the Higgs boson $\Phi$ (left panel) and the transverse scalar sum (right panel), are plotted. Details are described in Fig. \ref{['ptjet:diff']} and in the text.
  • Figure 5: Left: azimuthal angle correlation $\phi_{j1j2}$ of the two harder jets with applied ICphi cuts of Eq. (\ref{['ICphi']}). Right: $z^*$, the normalized centralized rapidity distribution of the third jet w.r.t. the tagging jets using the VBF cuts of Eq. (\ref{['eq:vbfcuts']}). Further, details are described in Fig. \ref{['ptjet:diff']} and in the text.