Higgs pair production from bottom quark annihilation to NNLO in QCD

Abstract

We present the first results on the two-loop massless QCD corrections to the four-point amplitude $b+\overline{b}\to H+H$ in the five flavor 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. Using these two loop amplitudes and exploiting the universality of the soft contributions in perturbative QCD, we obtain the NNLO QCD effects in the soft plus virtual approximation. We find that the inclusion of higher order terms reduce the uncertainties resulting from the unphysical renormalisation and factorisation scales.

30 pages, 6 figures, 3 tables

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• Probing Higgs couplings to light quarks via Higgs pair production
• Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion
• Form factors with two operator insertions and the principle of maximal transcendentality
• Resummed inclusive cross-section in ADD model at N${}^3$LL+NNLO
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD
• Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons
• Indian Contributions to LHC Theory
• Review of a light NMSSM pseudoscalar Higgs state production at the LHC