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

Abstract

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.

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/

References in corpus (5)

• The Standard Model Higgs boson as the inflaton
• Combined results of searches for the standard model Higgs boson in pp collisions at sqrt(s) = 7 TeV
• Combined search for the Standard Model Higgs boson using up to 4.9 fb-1 of pp collision data at sqrt(s) = 7 TeV with the ATLAS detector at the LHC
• The top quark and Higgs boson masses and the stability of the electroweak vacuum
• Cosmological implications of the Higgs mass measurement

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