Abstract
In this talk we discuss some of the computational aspects of some recent computations of double Higgs production in gluon fusion. We consider the challenges encountered in computing the high-energy limit of the NLO virtual corrections and the large top quark mass limit of the NNLO virtual corrections.
Highlights
A direct measurement of the triple–Higgs boson coupling will be a key task in the coming years, once the High Luminosity LHC is running
We consider the challenges encountered in computing the high-energy limit of the next-to-leading order (NLO) virtual corrections and the large top quark mass limit of the NNLO virtual corrections
Results have been computed numerically at next-to-leading order (NLO) [3, 4, 5], and in various limits at both NLO [6, 7, 8, 9, 10, 11] and NNLO [7, 12, 13, 14]. These limits can be used to form various approximations of the cross section over the whole kinematic range, see for e.g. [15, 16]. In these proceedings we summarize a talk presented at the 19th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT 2019), based on Refs. [10, 11, 17]
Summary
A direct measurement of the triple–Higgs boson coupling will be a key task in the coming years, once the High Luminosity LHC is running. Results have been computed numerically at next-to-leading order (NLO) [3, 4, 5], and in various limits at both NLO [6, 7, 8, 9, 10, 11] and NNLO [7, 12, 13, 14] These limits can be used to form various approximations of the cross section over the whole kinematic range, see for e.g. We consider an NLO computation of the high-energy limit of the virtual contribution to double Higgs boson production in gluon fusion, that is for s, |t| m2t > m2H. This limit was previously unknown in the literature and provides information about the tails of kinematic distributions.
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