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Collinear and soft-gluon corrections to Higgs production at next-to-next-to-next-to-leading order

2007/11/30 by Nikolaos Kidonakis · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle Detector Development and Performance #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1103/physrevd.77.053008

published as Phys.Rev.D77:053008,2008 · 29 pages, 6 figures, additional material and references, some changes and corrections

arxiv created 2007/12/30 · openalex publication_date 2008/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I present analytical expressions for the collinear and soft-gluon corrections to Higgs production via the process bb\ensuremath→H as well as gg\ensuremath→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 CERN LHC are presented, primarily for bb\ensuremath→H. It is shown that the collinear terms greatly improve the soft and virtual approximation at next-to-leading order and next-to-next-to-leading order, 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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