Two-Loop $\mathcal{O}({\alpha }_s^2)$ Correction to the $H\to b\bar{b}$ Decay Rate Induced by the Top Quark

Abstract

We present the two-loop QED and QCD corrections to the $f\bar{f}H$ Yukawa coupling that are induced by the exchange of a virtual photon or gluon, respectively, with a heavy-fermion loop inserted. As an application, we study the corresponding $\text{O}({\alpha }_s^2{M}_H^2/m_t^2)$ correction to the $H\to b\bar{b}$ decay rate.

Comments: 6 pages, Latex, figures (2) are not included, MPI/PhT/94-69