2012/05/31 by K. G. Chetyrkin, M. F. Zoller · 1 citation
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep06(2012)033
published as JHEP 1206 (2012) 033 · 22 pages, 7 figures. Few extra citations are added; the plots are improved. Results in computer readable form can be retrieved from http://www-ttp.particle.uni-karlsruhe.de/Progdata/ttp12/ttp12-012/
arxiv created 2012/10/05 · arxiv updated 2017/07/25
We analytically compute the dominant contributions to the β-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.