A decomposition splits the most singular dipole term of the N-jettiness soft function into an inclusive soft function and a remainder that is absent at NLO, finite at NNLO, and subtractable at N3LO, enabling NNLO results for up to five jets.
QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
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abstract
We present threshold enhanced QCD corrections to rapidity distributions of di-leptons in the Drell-Yan process and of Higgs particles in both gluon fusion and bottom quark annihilation processes using Sudakov resummed cross sections. We have used renormalisation group invariance and the mass factorisation theorem that these hard scattering cross sections satisfy as well as Sudakov resummation of QCD amplitudes. We find that these higher order threshold QCD corrections stabilise the theoretical predictions under scale variations.
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Two-loop QCD corrections to H → b b-bar g amplitude computed at higher orders in ε via Lorentz projection.
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$N$-Jettiness Soft Functions Made Simple
A decomposition splits the most singular dipole term of the N-jettiness soft function into an inclusive soft function and a remainder that is absent at NLO, finite at NNLO, and subtractable at N3LO, enabling NNLO results for up to five jets.
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Two-loop QCD corrections to $ H \rightarrow b + \bar{b} + g $ at higher powers in the dimensional regulator
Two-loop QCD corrections to H → b b-bar g amplitude computed at higher orders in ε via Lorentz projection.