Exact N${}^3$LO results for $q{q}^{\prime }\to H+X$

Abstract

We compute the contribution to the total cross section for the inclusive production of a Standard Model Higgs boson induced by two quarks with different flavour in the initial state. Our calculation is exact in the Higgs boson mass and the partonic center-of-mass energy. We describe the reduction to master integrals, the construction of a canonical basis, and the solution of the corresponding differential equations. Our analytic result contains both Harmonic Polylogarithms and iterated integrals with additional letters in the alphabet.

27 pages, v2: minor modifications, journal version

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• SusHi Bento: Beyond NNLO and the heavy-top limit
• Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• On the Computation of Form Factors in Massless QCD with Finite Master Integrals
• First Forcer results on deep-inelastic scattering and related quantities
• Generalized threshold resummation in inclusive DIS and semi-inclusive electron-positron annihilation