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Double Higgs boson production at NLO in the high-energy limit: complete analytic results

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In this article, the authors compute the NLO virtual corrections to the partonic cross section of $gg\to HH$ in the high energy limit, where the Finite Higgs boson mass effects are taken into account via an expansion which is shown to converge quickly.
Abstract
We compute the NLO virtual corrections to the partonic cross section of $gg\to HH$, 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.

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Three-loop form factors for Higgs boson pair production in the large top mass limit

TL;DR: In this paper, the authors considered the virtual corrections to Higgs boson pair production at next-to-next to-leading order, in the large top quark mass limit, and presented analytic results for the form factors in the soft-virtual approximation.
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$gg\to ZZ$: analytic two-loop results for the low- and high-energy regions

TL;DR: In this article, the authors compute next-to-leading order virtual two-loop corrections to the process in the low and high energy limits, considering the contributions with virtual top quarks.
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Double Higgs production in the high- and low-energy limits

Joshua Davies
TL;DR: In this article, the authors discuss some of the computational aspects of some recent computations of double Higgs production in gluon fusion and consider the challenges encountered in computing the high-energy limit of the NLO virtual corrections and the large top quark mass limit.

Numerical multiloop calculations: sector decomposition and QMC integration in pySecDec

TL;DR: In this paper, the experimental uncertainties on several important observables, such as the electroweak precision observables (EWPOs), were reduced by up to two orders of magnitude compared with the previous generation LEP and SLC experiments.
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Shape analysis in Higgs boson pair production

TL;DR: In this paper, the impact of anomalous couplings in the Higgs sector on the shape of Higgs boson pair invariant mass distribution at NLO has been studied.
References
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Journal ArticleDOI

The singular behaviour of QCD amplitudes at two-loop order

TL;DR: In this paper, the structure of infrared singularities in on-shell QCD amplitudes at two-loop order is discussed and a general factorization formula that controls all the ϵ-poles of the dimensionally regularized amplitudes is presented.
Journal ArticleDOI

LiteRed 1.4: a powerful tool for reduction of multiloop integrals

Roman N Lee
TL;DR: In this article, the authors review the Mathematica package LiteRed, version 1.4, and propose a new package called LiteRed LiteRed, based on the LiteRed algorithm.
Journal ArticleDOI

FIRE5: A C++ implementation of Feynman Integral REduction

TL;DR: The C++ version of FIRE is presented — a powerful program performing Feynman integral reduction to master integrals that can be treated as a task to solve a huge system of sparse linear equations with polynomial coefficients.
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Presenting LiteRed: a tool for the Loop InTEgrals REDuction

TL;DR: LiteRed as discussed by the authors performs the heuristic search of the symbolic IBP reduction rules for loop integrals and implements several convenient tools for the search of symmetry relations, construction of the differential equations and dimensional recurrence relations.
Journal ArticleDOI

Neutral Higgs-Boson Pair Production at Hadron Colliders: QCD Corrections

TL;DR: In this article, the authors present the QCD corrections to the gluon-initiated processes in the limit of a heavy top quark in the loops and the Drell-Yan-like pair production of scalar and pseudoscalar Higgs particles.
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