Higgs pair production from bottom quark annihilation to NNLO in QCD
P Banerjee, A Chakraborty, PK Dhani…�- arXiv preprint arXiv�…, 2018 - arxiv.org
P Banerjee, A Chakraborty, PK Dhani, P Mukherjee, N Rana, V Ravindran
arXiv preprint arXiv:1811.01853, 2018•arxiv.orgWe 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 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�…
amplitude $ b+\overline {b}\rightarrow 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�…
We present the first results on the two-loop massless QCD corrections to the four-point amplitude 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.
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