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

TL;DR

This paper calculates four-loop corrections to the Higgs-bottom vertex in massless QCD, providing analytic results and matching coefficients in SCET for various currents, advancing precision in theoretical predictions.

Contribution

It presents the first four-loop analytic calculations of the Higgs-bottom vertex and derives hard matching coefficients in SCET for multiple currents.

Findings

Infrared poles match the four-loop pattern predictions.

Analytic results for all color structures are provided.

Hard matching coefficients are computed up to four loops.

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.