1205.2892 (K. G. Chetyrkin et al.)

Three-loop β-functions for top-Yukawa and the Higgs self-interaction
in the Standard Model    [PDF]

K. G. Chetyrkin, M. F. Zoller

We analytically compute the dominant contributions to the \beta-functions for the top-Yukawa coupling, the strong coupling and the Higgs self-coupling as well as the anomalous dimensions of the scalar, gluon and quark fields in the unbroken phase of the Standard Model at three-loop level. These are mainly the QCD and top-Yukawa corrections. The contributions from the Higgs self-interaction which are negligible for the running of the top-Yukawa and the strong coupling but important for the running of the Higgs self-coupling are also evaluated.

View original: http://arxiv.org/abs/1205.2892