Hbb vertex at four loops and hard matching coefficients in SCET for various currents

We compute the four-loop corrections to the Higgs-bottom vertex within massless QCD and present analytic results for all color structures. The infrared poles of the renormalized form factor agree with the predicted four-loop pattern. Furthermore, we use the results for the Higgs-bottom, photon-quark, and Higgs-gluon form factors to provide hard matching coefficients in soft-collinear effective theory up to four-loop accuracy.

Automated summary

We calculate the four-loop corrections to the Higgs-bottom vertex in massless QCD and provide analytic results for all color structures. The infrared poles of the renormalized form factor match the predicted four-loop pattern. Additionally, we utilize the results of the form factors for Higgs-bottom, photon-quark, and Higgs-gluon to determine hard matching coefficients in soft-collinear effective theory up to four-loop accuracy.