Higgs boson gluon-fusion production beyond threshold in N3LO QCD
Charalampos Anastasiou, Claude Duhr, Falko Dulat, Elisabetta Furlan,, Thomas Gehrmann, Franz Herzog, Bernhard Mistlberger

TL;DR
This paper advances the precision of Higgs boson production predictions by computing the gluon fusion cross-section at N3LO near the threshold, including various contributions and assessing the approximation's validity.
Contribution
It provides the first N3LO threshold expansion including collinear, soft, and hard contributions, improving theoretical accuracy in Higgs production calculations.
Findings
Achieved the second term in the N3LO threshold expansion.
Demonstrated the improved accuracy of the threshold approximation at N3LO.
Provided insights into the validity of the threshold approximation in perturbative QCD.
Abstract
In this article, we compute the gluon fusion Higgs boson cross-section at N3LO through the second term in the threshold expansion. This calculation constitutes a major milestone towards the full N3LO cross section. Our result has the best formal accuracy in the threshold expansion currently available, and includes contributions from collinear regions besides subleading corrections from soft and hard regions, as well as certain logarithmically enhanced contributions for general kinematics. We use our results to perform a critical appraisal of the validity of the threshold approximation at N3LO in perturbative QCD.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · High-Energy Particle Collisions Research · Superconducting Materials and Applications
