Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit

Abstract

In this paper we consider the next-to-next-to-leading order total cross section of Higgs boson pair production in the large top quark mass limit and compute four expansion terms in 1/$$ {m}_t^2 $$ m t 2 . To this end, we analytically compute the real-virtual and double-real contributions to the total cross section and combine them with the existing virtual contribution. Good convergence is observed below the top quark threshold, which makes our results a valuable input for approximation methods which aim for next-to-next-to-leading order corrections over the whole kinematic range. We present details on various steps of our calculation; in particular, we provide results for three- and four-particle phase-space master integrals and describe in detail the evaluation of the collinear counterterms.

Top quark mass corrections to single and double Higgs boson production in gluon fusion

“…double-Higgs boson production in gluon fusion [16][17][18] in Section 3.1, and N3LO computations of the virtual corrections to single-Higgs boson production in gluon fusion [19] in Section 3.2, as well as the decay of a Higgs boson into two photons [20] in Section 3.3.…”

“…See Section 2.5 of Ref. [18] for a detailed discussion. The virtual corrections have been computed in Ref.…”

Top quark mass corrections to single and double Higgs boson production in gluon fusion

“…In the following, we summarize some recent works which have used the LME method described above. This includes an NNLO computation of the double-real and real-virtual corrections to double-Higgs boson production in gluon fusion [16][17][18] in Section 3.1, and N3LO computations of the virtual corrections to single-Higgs boson production in gluon fusion [19] in Section 3.2, as well as the decay of a Higgs boson into two photons [20] in Section 3.3.…”

Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD

“…Recently, in ref. [44], the NNLO cross-section has been improved by computing the higher order terms in top mass expansion.…”