Locally finite two-loop amplitudes for electroweak production through gluon fusion
arXiv:2403.13712 · doi:10.1007/JHEP11(2024)043
Abstract
The computation of two-loop amplitudes for the production of multiple Higgs and electroweak gauge bosons via gluon fusion with exact dependence on quark masses relies primarily on numerical methods. We propose a framework that enables their numerical evaluation in momentum space. The method is inspired by the factorization of infrared divergences in QCD scattering amplitudes. It extends techniques introduced for electroweak gauge boson production from quark-antiquark annihilation to processes with external gluons. By combining diagrammatic integrands, we make use of local cancellations between diagrams that automatically eliminate most non-factoring infrared singularities. With a limited number of counterterms, we then derive two-loop integrands for which all soft and collinear singularities factorize locally. We hope that the local subtraction techniques presented in this article will play a useful role in extending the local factorization formalism to two-loop amplitudes for arbitrary processes.
55 pages, version accepted by JHEP
References in corpus (41)
- FORM version 4.0
- Multi-loop Amplitudes and Resummation
- Automatic Integral Reduction for Higher Order Perturbative Calculations
- Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
- The Multithreaded version of FORM
- Full top quark mass dependence in Higgs boson pair production at NLO
- Universal structure of subleading infrared poles in gauge theory amplitudes
- Top-quark mass effects in double and triple Higgs production in gluon-gluon fusion at NLO
- Gluon fusion into Higgs pairs at NLO QCD and the top mass scheme
- To , or not to : Recent developments and comparisons of regularization schemes
- General subtraction method for numerical calculation of one-loop QCD matrix elements
- Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
- Techniques for QCD calculations by numerical integration
- Hard-Soft-Collinear Factorization to All Orders
- The Quartic Higgs Coupling at Hadron Colliders
- From loops to trees by-passing Feynman's theorem
- Multi-Higgs boson production in the Standard Model and beyond
- Loop Tree Duality for multi-loop numerical integration
- A Tree-Loop Duality Relation at Two Loops and Beyond
- Numerical NLO QCD calculations
- Higgs-Pair Production via Gluon Fusion at Hadron Colliders: NLO QCD Corrections
- NLO results for five, six and seven jets in electron-positron annihilation
- Triple Higgs boson production at a 100 TeV proton-proton collider
- Double Higgs boson production at NLO: combining the exact numerical result and high-energy expansion
- May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
- Removing infrared divergences from two-loop integrals
- Numerical Loop-Tree Duality: contour deformation and subtraction
- Efficiency improvements for the numerical computation of NLO corrections
- Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order
- Direct numerical integration for multi-loop integrals
- Ultraviolet divergences and factorization for coordinate-space amplitudes
- A simple formula for the infrared singular part of the integrand of one-loop QCD amplitudes
- Direct numerical integration of one-loop Feynman diagrams for N-photon amplitudes
- Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
- A Forest Formula to Subtract Infrared Singularities in Amplitudes for Wide-angle Scattering
- Numerical integration of loop integrals through local cancellation of threshold singularities
- Numerical integration of subtraction terms
- Exposing the threshold structure of loop integrals
- Locally finite two-loop QCD amplitudes from IR universality for electroweak production
- Local infrared safety in time-ordered perturbation theory
- Quark mass effects in two-loop Higgs amplitudes