Abstract
We compute the NLO virtual corrections to the partonic cross section of gg → HH, in the high energy limit. Finite Higgs boson mass effects are taken into account via an expansion which is shown to converge quickly. We obtain analytic results for the next-to-leading order form factors which can be used to compute the cross section. The method used for the calculation of the (non-planar) master integrals is described in detail and explicit results are presented.
Highlights
In the following we present the leading terms for the three form factors both in the large-mt and high-energy limit
We compute analytic results in this limit for all non-planar master integrals, which complement the results for the planar integrals, already presented in ref
Analytic expressions for the master integrals are provided in an ancillary file to this paper [18]
Summary
Details on the calculation of the NLO amplitude gg → HH and in particular on the reduction to master integrals can be found in ref. [2]. At two-loop order we obtain 131 planar integrals, which are discussed in detail in [2], and 30 non-planar master integrals The computation of the latter, which is based on differential equations, is described in the following. This ansatz is inserted into the differential equation obtained by differentiating the master integrals with respect to mt It is a new feature of the non-planar integrals that the ansatz requires both odd and even powers in mt For the computation of the non-planar master integrals (at least for those with seven lines) it is crucial to choose a basis in which the master integrals do not contain poles in their prefactor in the amplitude This guarantees that only the constant ( 0) terms of the master integrals are required, which contain objects with transcendental weight of at most four. We have obtained similar plots for all 30 non-planar master integrals
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