Three-loop SM beta-functions for matrix Yukawa couplings

Generalized Yukawa couplings and Matrix Models

In this note we investigate U(N) gauge theories with matter in the fundamental and adjoint representations of the gauge group, interacting via generalized Yukawa terms of the form Tr [QΦQ̃]. We find agreement between the matrix model and the gauge theory descriptions of these theories. The analysis leads to a partial description of the Higgs branch of the gauge theory. We argue that the transiti...

Tan(beta) enhanced Yukawa couplings for supersymmetric Higgs singlets at one loop

Extensions of the MSSM generically feature gauge singlet Higgs bosons. These singlet Higgs bosons have tan β-enhanced Yukawa couplings to down-type quarks and leptons at the oneloop level. We present an effective Lagrangian incorporating these Yukawa couplings and use it to study their effect on singlet Higgs boson phenomenology within both the mnSSM and NMSSM. It is found that the loop-induced...

Two Loop QCD Vertices and Three Loop MOM beta functions

Higgs-dependent Yukawa couplings

We consider the possibility that the Yukawa couplings depend on the Higgs field, with the motivation of generating the fermion mass hierarchy through appropriate powers of the Higgs vacuum expectation value. This leads to drastic modifications of the Higgs branching ratios, new Higgs contributions to various flavor-violating processes, and observable rates for the top quark decay t → hc. The un...

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

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 threeloop level. These are mainly the QCD and top-Yukawa corrections. The contributions from the Higgs self-interaction which are...