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ggxy: NLO QCD corrections to loop induced gg initiated processes

Daniel Stremmer

TL;DR

We present ggxy, a library for computing NLO QCD corrections to Higgs pair production via gluon fusion with full top-quark and Higgs mass dependence. The virtual two-loop corrections are implemented through analytical approximations derived from a high-energy expansion and a forward expansion, complemented by Padé resummation, while all other components are treated exactly, yielding runtimes of about 30 minutes per cross section. The package supports variation of key inputs such as the Higgs self-coupling $\lambda_3$, $m_t$, $m_H$, and the top-mass renormalization scheme, and includes a POWHEG-BOX interface for matching to parton showers. Example results at $\sqrt{s}=14$ and $100$ TeV validate LO/NLO cross sections against prior calculations and illustrate differential distributions in $m_{HH}$ and $p_{T,H_{\rm avg}}$, demonstrating accuracy and usefulness for HL-LHC studies. The methodology extends to related loop-induced processes (e.g., $gg\to ZH$) and provides a flexible platform for precision Higgs phenomenology and beyond.

Abstract

We present the program package ggxy, which in its first version can be used to calculate partonic and hadronic cross sections to Higgs boson pair production at NLO QCD and it offers a direct interface to POWHEG-BOX. The 2-loop virtual amplitudes are implemented using analytical approximations in different kinematic regions, while all other parts of the calculation are exact. This implementation allows to freely modify all input parameter, such as the three Higgs coupling, the masses of the top quark and the Higgs boson, and the top-quark mass renormalization scheme.

ggxy: NLO QCD corrections to loop induced gg initiated processes

TL;DR

We present ggxy, a library for computing NLO QCD corrections to Higgs pair production via gluon fusion with full top-quark and Higgs mass dependence. The virtual two-loop corrections are implemented through analytical approximations derived from a high-energy expansion and a forward expansion, complemented by Padé resummation, while all other components are treated exactly, yielding runtimes of about 30 minutes per cross section. The package supports variation of key inputs such as the Higgs self-coupling , , , and the top-mass renormalization scheme, and includes a POWHEG-BOX interface for matching to parton showers. Example results at and TeV validate LO/NLO cross sections against prior calculations and illustrate differential distributions in and , demonstrating accuracy and usefulness for HL-LHC studies. The methodology extends to related loop-induced processes (e.g., ) and provides a flexible platform for precision Higgs phenomenology and beyond.

Abstract

We present the program package ggxy, which in its first version can be used to calculate partonic and hadronic cross sections to Higgs boson pair production at NLO QCD and it offers a direct interface to POWHEG-BOX. The 2-loop virtual amplitudes are implemented using analytical approximations in different kinematic regions, while all other parts of the calculation are exact. This implementation allows to freely modify all input parameter, such as the three Higgs coupling, the masses of the top quark and the Higgs boson, and the top-quark mass renormalization scheme.

Paper Structure

This paper contains 4 sections, 1 equation, 1 figure, 1 table.

Table of Contents

  1. Introduction
  2. ggxy library
  3. Example results
  4. Conclusions and outlook

Figures (1)

  • Figure 1: Differential cross-section distributions for the observables $m_{HH}$ and $p_{T,H_{\rm avg}}$ at NLO QCD and $\sqrt{s}=14$ TeV computed with the POWHEG implementations ggxy_ggHH and ggHHHeinrich:2017kxx. Lower panels display $\sigma$ deviations with respect to the statistical uncertainties.