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Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop

Charalampos Anastasiou·Stefan Beerli·Stefan Bucherer·Alejandro Daleo·Zoltan Kunszt
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Abstract

We compute all two-loop master integrals which are required for the evaluation of next-to-leading order QCD corrections in Higgs boson production via gluon fusion. Many two-loop amplitudes for 2 -> 1 processes in the Standard Model and beyond can be expressed in terms of these integrals using automated reduction techniques. These integrals also form a subset of the master integrals for more complicated 2 -> 2 amplitudes with massive propagators in the loops. As a first application, we evaluate the two-loop amplitude for Higgs boson production in gluon fusion via a massive quark. Our result is the first independent check of the calculation of Spira, Djouadi, Graudenz and Zerwas. We also present for the first time the two-loop amplitude for gg -> h via a massive squark.

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Charalampos Anastasiou, Stefan Beerli, Stefan Bucherer, Alejandro Daleo, Zoltan Kunszt. 2006-11-17. Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop. https://doi.org/10.1088/1126-6708%2F2007%2F01%2F082

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