The $Hb\bar{b}$ vertex at four loops and hard matching coefficients in SCET for various currents

Abstract

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.

Comments: 19 pages, 1 figure, ancillary files with analytic results