Collinear and soft gluon corrections to Higgs production at NNNLO

TL;DR

This paper derives analytical expressions for collinear and soft gluon corrections to Higgs production at NNNLO, demonstrating significant enhancements to the cross section and improving approximation accuracy at various orders.

Contribution

It provides the first complete analytical expressions for collinear and soft corrections to Higgs production at NNNLO, including numerical results and improvements over previous approximations.

Findings

Collinear corrections significantly improve NLO and NNLO approximations.

NNNLO corrections lead to substantial increases in the predicted cross section.

Including subleading logarithms enhances the accuracy of the corrections.

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.