Abstract
We compute three-loop corrections to the Higgs boson-gluon form factor, incorporating the top quark mass dependence. Our method is based on the combination of expansions around the top threshold and for large top quark mass, using conformal mapping and Pad\'e approximation to describe the form factor over the full kinematic range.
Highlights
The precise measurement of the properties of the Higgs boson, in particular the coupling strength to other particles and to itself, will be among the main focuses in particle physics in the coming years
Our method is based on the combination of expansions around the top threshold and for large top quark mass, using conformal mapping and Padeapproximation to describe the form factor over the full kinematic range
For a comprehensive collection of relevant works we refer to Ref. [1], but we remark here that QCD corrections including the exact dependence on the top quark mass, mt, have been available at next-to-leading order (NLO) for about 25 years [2]
Summary
The precise measurement of the properties of the Higgs boson, in particular the coupling strength to other particles and to itself, will be among the main focuses in particle physics in the coming years. The success of this enterprise crucially depends on the accuracy of the predictions provided by the theory community. [1], but we remark here that QCD corrections including the exact dependence on the top quark mass, mt, have been available at next-to-leading order (NLO) for about 25 years [2]. At higher orders only approximate results are available; at next-to-next-to-leading order (NNLO) the infinite top quark mass results from Refs. The N3LO result has been obtained in the mt → ∞ limit in [10,11]
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