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arXiv · 1505.04110

Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N$^3$LO

Charalampos Anastasiou·Claude Duhr·Falko Dulat·Elisabetta Furlan·Franz Herzog·Bernhard Mistlberger
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Abstract

We present methods to compute higher orders in the threshold expansion for the one-loop production of a Higgs boson in association with two partons at hadron colliders. This process contributes to the N$^3$LO Higgs production cross section beyond the soft-virtual approximation. We use reverse unitarity to expand the phase-space integrals in the small kinematic parameters and to reduce the coefficients of the expansion to a small set of master integrals. We describe two methods for the calculation of the master integrals. The first was introduced for the calculation of the soft triple-real radiation relevant to N$^3$LO Higgs production. The second uses a particular factorization of the three body phase-space measure and the knowledge of the scaling properties of the integral itself. Our result is presented as a Laurent expansion in the dimensional regulator, although some of the master integrals are computed to all orders in this parameter.

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Charalampos Anastasiou, Claude Duhr, Falko Dulat, Elisabetta Furlan, Franz Herzog, Bernhard Mistlberger. 2015-05-15. Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N$^3$LO. https://doi.org/10.1007/jhep08(2015)051

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