The $Hb\bar{b}$ form factor to three loops in QCD

Abstract

We compute the three-loop QCD corrections to the vertex function for the Yukawa coupling of a Higgs boson to a pair of bottom quarks in the limit of vanishing quark masses. This QCD form factor is a crucial ingredient to third-order QCD corrections for the production of Higgs bosons in bottom quark fusion, and for the fully differential decay rate of Higgs bosons to bottom quarks. The infrared pole structure of the form factors agrees with the prediction from infrared factorization in QCD.

17 pages; v2: minor typos corrected, references updated, accepted for publication in JHEP

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• The $n_f^2$ contributions to fermionic four-loop form factors
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Going beyond Soft plus Virtual
• Three loop form factors of a massive spin-2 particle with nonuniversal coupling