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Neutral Higgs-Boson Pair Production at Hadron Colliders: QCD Corrections

S. Dawson, S. Dittmaier, M. Spira

TL;DR

This paper addresses the measurement of Higgs self-couplings through neutral Higgs-pair production at hadron colliders by computing QCD corrections to both gluon-fusion and Drell–Yan–like production in the heavy-top limit, for the SM and MSSM.It employs low-energy theorems and explicit heavy-mass expansions to obtain the NLO QCD corrections, including virtual and real contributions and mass effects, with careful renormalization and infrared/collinear handling.The results show large corrections, with K-factors around 1.9–2.0 for gluon fusion in the SM and substantial increases in MSSM channels, while scale uncertainties are reduced to about 20%.These findings imply that Higgs-pair production cross sections are sizable in many regions of parameter space, making them viable probes of the trilinear Higgs coupling and of the MSSM Higgs sector at the LHC.

Abstract

Neutral Higgs-boson pair production provides the possibility of studying the trilinear Higgs couplings at future high-energy colliders. We present the QCD corrections to the gluon-initiated processes in the limit of a heavy top quark in the loops and the Drell-Yan-like pair production of scalar and pseudoscalar Higgs particles. The pp cross sections are discussed for LHC energies within the Standard Model and its minimal supersymmetric extension. The QCD corrections are large, enhancing the total cross sections significantly.

Neutral Higgs-Boson Pair Production at Hadron Colliders: QCD Corrections

TL;DR

This paper addresses the measurement of Higgs self-couplings through neutral Higgs-pair production at hadron colliders by computing QCD corrections to both gluon-fusion and Drell–Yan–like production in the heavy-top limit, for the SM and MSSM.It employs low-energy theorems and explicit heavy-mass expansions to obtain the NLO QCD corrections, including virtual and real contributions and mass effects, with careful renormalization and infrared/collinear handling.The results show large corrections, with K-factors around 1.9–2.0 for gluon fusion in the SM and substantial increases in MSSM channels, while scale uncertainties are reduced to about 20%.These findings imply that Higgs-pair production cross sections are sizable in many regions of parameter space, making them viable probes of the trilinear Higgs coupling and of the MSSM Higgs sector at the LHC.

Abstract

Neutral Higgs-boson pair production provides the possibility of studying the trilinear Higgs couplings at future high-energy colliders. We present the QCD corrections to the gluon-initiated processes in the limit of a heavy top quark in the loops and the Drell-Yan-like pair production of scalar and pseudoscalar Higgs particles. The pp cross sections are discussed for LHC energies within the Standard Model and its minimal supersymmetric extension. The QCD corrections are large, enhancing the total cross sections significantly.

Paper Structure

This paper contains 12 sections, 34 equations, 11 figures.

Table of Contents

  1. Introduction
  2. Low-Energy Theorems
  3. QCD Corrections
  4. Gluon fusion: basic definitions
  5. Low-energy theorems
  6. Explicit expansion of the gluon-fusion diagrams
  7. Drell--Yan-like processes
  8. Drell--Yan-like processes
  9. Results
  10. Standard Model
  11. Minimal supersymmetric extension
  12. Conclusions

Figures (11)

  • Figure 1: Feynman rules for the effective interactions of Higgs bosons with gluons in the heavy-quark limit, including NLO corrections.
  • Figure 2: Generic diagrams describing neutral Higgs-boson pair production in gluon--gluon collisions ($\phi,\phi_i = h,H,A$).
  • Figure 3: Typical effective diagrams contributing to the (a) virtual and (b) real corrections to neutral Higgs-boson pair production.
  • Figure 4: Typical two-loop box diagrams with one, two, or three internal gluons.
  • Figure 5: Diagram contributing to $q\bar{q} \to Ah,AH$ at lowest order.
  • ...and 6 more figures