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The $Hb\bar{b}$ form factor to three loops in QCD
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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.
Forward citations
Cited by 3 Pith papers
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Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
First analytic full-color two-loop five-particle amplitudes for associated Higgs-plus-bottom-quark-pair production at the LHC, with public C++ implementation.
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Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
First analytic two-loop leading-colour amplitudes for top-Yukawa-induced b bbar H production in the heavy-top limit, with Mathematica and C++ code.
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Higgs boson production in association with massive bottom quarks at NNLO+PS
First NNLO+PS event generator for b-bbar-H production with massive bottom quarks in the four-flavour scheme, showing NNLO corrections resolve the 4FS/5FS tension.
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