English

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

High Energy Physics - Phenomenology 2020-06-04 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2001.03008,
  title  = {Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD},
  author = {M. Czakon and M. Niggetiedt},
  journal= {arXiv preprint arXiv:2001.03008},
  year   = {2020}
}

Comments

27 pages, 8 figures