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arXiv · 0711.0142

Collinear and soft gluon corrections to Higgs production at NNNLO

Nikolaos Kidonakis
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Abstract

I present analytical expressions for the collinear and soft gluon corrections to Higgs production via the process b bbar -> H as well as gg -> H through next-to-next-to-next-to-leading order (NNNLO). The soft corrections are complete while the collinear corrections include leading and some subleading logarithms. Numerical results at the Tevatron and the LHC are presented, primarily for b bbar -> H. It is shown that the collinear terms greatly improve the soft and virtual approximation at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO), especially when subleading terms are included. The NNNLO collinear and soft corrections provide significant enhancements to the total cross section. I also provide expressions for the collinear and soft corrections through NNNLO for the related Drell-Yan process.

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Nikolaos Kidonakis. 2007-12-30. Collinear and soft gluon corrections to Higgs production at NNNLO. https://doi.org/10.1103/physrevd.77.053008

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