Renormalization group invariants in supersymmetric theories: one- and two-loop results

Renormalization Group Invariance of Exact Results in Supersymmetric Gauge Theories

We clarify the notion of Wilsonian renormalization group (RG) invariance in supersymmetric gauge theories, which states that the low-energy physics can be kept fixed when one changes the ultraviolet cutoff, provided appropriate changes are made to the bare coupling constants in the Lagrangian. We first pose a puzzle on how a quantum modified constraint (such as Pf(QiQj) = Λ2(N+1) in SP(N) theor...

Renormalization-group constraints in supersymmetric theories.

Supersymmetric theories provide a promising framework for the solution of the fine-tuning and gaugehierarchy problems. ' They are the only known theories where elementary scalars are naturally light. The lightness of the Higgs boson can be understood if supersymmetry remains unbroken down to the weak scale M~. In spite of their enlarged symmetry, supersymmetric theories fail to provide any new ...

Renormalization-group equations in broken supersymmetric theories using superspace methods.

Supersymmetric Gauge Theories in the Exact Renormalization Group Approach

In these notes the exact renormalization group formulation of the scalar theory is briefly reviewed. This regularization scheme is then applied to supersymmetric theories. In case of a supersymmetric gauge theory it is also shown how to recover gauge invariance, broken by the introduction of the infrared cutoff.

Automatic calculation of supersymmetric renormalization group equations and loop corrections

SARAH is a Mathematica package for studying supersymmetric models. It calculates for a given model the masses, tadpole equations and all vertices at tree-level. This information can be used by SARAH to write model files for CalcHep/CompHep or FeynArts/FormCalc. In addition, the second version of SARAH can derive the renormalization group equations for the gauge couplings, parameters of the supe...