Three-loop corrections to Higgs boson pair production: reducible contribution
Joshua Davies, Kay Sch\"onwald, Matthias Steinhauser, Marco Vitti

TL;DR
This paper calculates three-loop reducible contributions to Higgs boson pair production via gluon fusion, involving two-loop corrections to the gluon-gluon-Higgs vertex, providing semi-analytic form factors.
Contribution
It introduces a detailed method for computing semi-analytic two-loop form factors for the gluon-gluon-Higgs vertex in Higgs pair production.
Findings
Computed two-loop corrections to the gluon-gluon-Higgs vertex.
Provided semi-analytic expressions for form factors.
Enhanced precision in Higgs pair production predictions.
Abstract
We compute three-loop corrections to the process originating from one-particle reducible diagrams. This requires the computation of two-loop corrections to the gluon-gluon-Higgs vertex with an off-shell gluon. We describe in detail our approach to obtain semi-analytic results for the vertex form factors and present results for the two form factors contributing to Higgs boson pair production.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research
