Collinear and soft gluon corrections to Higgs production at NNNLO

Understand

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.