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arXiv · 2603.29480

Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes

Heribertus Bayu Hartanto·Rene Poncelet
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Abstract

We derive two-loop scattering amplitudes for bottom-quark pair production in association with a Higgs boson at the LHC, focusing on terms proportional to the top-quark Yukawa coupling. We treat the bottom quark as a massless parton and employ both the leading-colour and heavy-top-quark approximations. The finite remainder of the two-loop amplitude is expressed in terms of one-mass pentagon functions, and the corresponding rational coefficients are reconstructed analytically from evaluations over finite fields. The scattering processes considered in this work also constitute a subset of Higgs+2-jet production at the LHC in the heavy-top-quark approximation.

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Heribertus Bayu Hartanto, Rene Poncelet. 2026-03-31. Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes. https://doi.org/10.21468/scipostphys.21.1.022

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