Two-loop QCD corrections to $\mathrm{b + \bar{b} \rightarrow H+H}$ amplitude

H, Ajjath A.; Ravindran, V.; Mukherjee, Pooja; Rana, Narayan; Dhani, Prasanna K.; Banerjee, Pulak; Chakraborty, Amlan

Preprint/Report

PUBDB-2019-00442

Two-loop QCD corrections to $\mathrm{b + \bar{b} \rightarrow H+H}$ amplitude

H, A. A. (Corresponding author) ; Banerjee, P. ; Chakraborty, A. ; Dhani, P. K. ; Mukherjee, P. ; Rana, N. ; Ravindran, V.

2018

[10.3204/PUBDB-2019-00442]

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Please use a persistent id in citations: doi:10.3204/PUBDB-2019-00442

Report No.: DESY-18–166; TIF-UNIMI-2018-9; arXiv:1811.01853

Abstract: We present the first results on the two-loop massless QCD corrections to the four-point amplitude $b+\overline{b} \rightarrow H+H$ in the five flavour scheme, treating bottom quarks as massless. This amplitude is sensitive to the trilinear Higgs boson coupling. Our two-loop result for this amplitude constitutes of purely virtual contributions to the next-to-next-to-leading order QCD predictions for the production of a pair of Higgs bosons at the Large Hadron Collider. We have implemented our two-loop results in a numerical code that can be used for further studies.

Keyword(s): quantum chromodynamics: correction ; quantum chromodynamics: massless ; Higgs particle: coupling ; flavor: 5 ; higher-order: 2 ; CERN LHC Coll ; bottom anti-bottom --> Higgs particle Higgs particle ; numerical calculations ; Higgs particle: pair production