# SUSY 2015, 23rd International Conference on Supersymmetry and Unification of Fundamental Interactions

23-29 August 2015
Lake Tahoe
US/Pacific timezone

## Renormalization Group Equation and Dynamical Symmetry Breaking in a Supersymmetry Abelian Chern-Simons Model with Arbitrary Parameter of Gauge

27 Aug 2015, 16:50
20m
Alumni ()

### Alumni

SUSY/String Models

### Speaker

Mr Andres Quinto (Universidade Federal do ABC)

### Description

​​In this work, we investigate the consequences of the Renormalization Group Equation (RGE) in the determination of the effective superpotential in a supersymmetric model with​ an​ arbitrary parameter of gauge and​, the impact of ​this ​improved calculation in the study of dynamical symmetry breaking. We consider an $\mathcal{N}=1$ supersymmetric theory​​, including an Abelian Chern-Simons superfield coupled to N scalar superfields in (2+1) dimensional spacetime. The classical Lagrangian presents scale invariance, which is broken by radiative corrections to the effective superpotential. We calculate perturbative corrections, up to two-loops, to the divergent vertex functions of the model, using dimensional regularization and minimal subtraction scheme, in order to calculate the renormalization group functions $\beta$ and $\gamma$. Additionally​, we compute the superpotential from the one point vertex function up to two-loops with​ an arbitrary parameter of gauge​. In order to understand it​,​ was ​necessary to use the ​​identity of Nielsen for ​studying ​the ​behaviour of the superpotential minima. Using ​​these​​ , together with the RGE, we are able to calculate an improved version of the effective superpotential, from which the dynamical symmetry breaking can be studied and​,​ the results ​can also be

### Primary author

Mr Andres Quinto (Universidade Federal do ABC)

### Co-author

Dr Alysson Ferrari (Universidade Federal do ABC)

### Presentation Materials

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