Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
Michał Czakon, Marco Niggetiedt
Abstract
A bstract We determine the three-loop form factor parameterising the amplitude for the production of an off-shell Higgs boson in gluon fusion in QCD with a single massive quark. The result is obtained via a numerical solution of a system of differential equation for the occurring master integrals. The solution is also used to determine the high-energy and threshold expansions of the form factor. Our findings may be used for the evaluation of virtual corrections generated by top-quark and b-quark loops in Higgs boson hadroproduction cross sections at next-to-next-to-leading order.
Topics & Concepts
PhysicsParticle physicsHiggs bosonQuantum chromodynamicsForm factor (electronics)GluonAmplitudeFusionPerturbative QCDBosonDifferential equationDifferential (mechanical device)Elementary particleStandard Model (mathematical formulation)Production (economics)Scattering cross-sectionQuantum electrodynamicsElectron–positron annihilationLoop (graph theory)Vector bosonParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions ResearchQuantum Chromodynamics and Particle Interactions