The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO

TL;DR

This paper provides an analytic three-loop calculation of the dominant color contribution to the Higgs-gluon form factor in QCD at NNLO, emphasizing the evaluation of complex Feynman integrals involving elliptic sectors.

Contribution

It presents the first analytic three-loop result for the leading color contribution to the Higgs-gluon form factor in QCD at NNLO, focusing on elliptic sector integrals.

Findings

Analytic three-loop expression for the leading color Higgs-gluon form factor.

Evaluation techniques for elliptic sector Feynman integrals.

Enhanced understanding of QCD corrections at NNLO.

Abstract

We present an analytic three-loop result for the leading color contribution to the Higgs-gluon form factor in QCD. The leading color contribution is given at next-to-next-to-leading order by the $N_c^2$-term in QCD with $N_c$ colors. The main focus of this article lies on the evaluation of the relevant Feynman integrals with a special emphasis on the elliptic sector.