$ZH$ production in gluon fusion: two-loop amplitudes with full top quark mass dependence

Abstract

We present results for the two-loop helicity amplitudes entering the NLO QCD corrections to the production of a Higgs boson in association with a $Z$-boson in gluon fusion. The two-loop integrals, involving massive top quarks, are calculated numerically. Results for the interference of the finite part of the two-loop amplitudes with the Born amplitude are shown as a function of the two kinematic invariants on which the amplitudes depend.

25 pages, 7 figures; matches version published in JHEP

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• Anomalous couplings in associated $VH$ production with Higgs decay to massive $b$ quarks at NNLO in QCD
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• Computational challenges for multi-loop collider phenomenology
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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• Soft gluon resummation for gluon fusion $ZH$ production
• Threshold improved $ZH$ production at the LHC
• The integrand form of infrared singularities of two-loop QCD scattering amplitudes
• Scalar leptoquark contributions to the $gg\to Zh$ process
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