Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N3LO
(2015) Journal of High Energy Physics — (2015)
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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 N3LO 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 N3LO 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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Citations
Duhr, C., & et al. (2015). Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N3LO. Journal of High Energy Physics. Submitted. https://doi.org/10.1007/JHEP08(2015)051 (Original work published 2015)