Updated Higgs cross section at approximate N${}^3$LO

Abstract

We update our estimate of the cross section for Higgs production in gluon fusion at next-to-next-to-next-to-leading order (N${}^3$LO) in ${\alpha }_s$ in view of the recent full computation of the result in the soft limit for infinite top mass, which determines a previously unknown constant. We briefly discuss the phenomenological implications. Results are available through the updated version of the ggHiggs code.

5 pages, 1 figure. Updated plot and numerical results after bug fixing in ggHiggs v1.9. Conclusions unaffected. Final version, to be published in Journal of Physics G

References in corpus (5)

• Quark and gluon form factors to three loops
• Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
• Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections
• Origin of the Large Perturbative Corrections to Higgs Production at Hadron Colliders
• Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass

Cited by in corpus (6)

• Resummed Higgs cross section at N${}^3$LL
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• Phenomenology of Induced Electroweak Symmetry Breaking