Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD

Understand

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.