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Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
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The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional dimensional regularisation, we compute the two-loop splitting amplitudes for all simple collinear splitting processes, including subleading terms in the regularisation parameter. Our results are then applied to derive an analytical expression for the two-loop single-real contribution to inclusive Higgs boson production in gluon fusion to fourth order (N3LO) in perturbative QCD.
Forward citations
Cited by 2 Pith papers
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Double spacelike collinear limits from multi-Regge kinematics
The double spacelike collinear limit of planar N=4 SYM is governed by a generalized splitting amplitude that equals the six-point BDS-subtracted amplitude in multi-Regge kinematics.
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Infrared singularities and the collinear limits of multi-leg scattering amplitudes
Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...
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