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

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.

30 pages

References in corpus (13)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Higgs boson gluon-fusion production in N3LO QCD
• FIRE5: a C++ implementation of Feynman Integral REduction
• Quark and gluon form factors to three loops
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Expansion by regions: revealing potential and Glauber regions automatically
• Geometric approach to asymptotic expansion of Feynman integrals
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO
• On the calculation of soft phase space integral

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